Conformal invariance

Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
2020-09-01 22:41:18 +02:00
parent f4fbad7ac2
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9 changed files with 840 additions and 82 deletions
--- a/thesis.bib
+++ b/thesis.bib
@@ -1,62 +1,159 @@

-@article{Calabi:1957:KahlerManifoldsVanishing,
-  title = {On {{Kähler}} Manifolds with Vanishing Canonical Class, {{Algebraic}} Geometry and Topology. {{A}} Symposium in Honor of {{S}}. {{Lefschetz}}},
-  author = {Calabi, Eugenio},
-  date = {1957},
-  journaltitle = {Princeton Math. Ser., Princeton University Press, Princeton},
-  volume = {78},
-  pages = {89},
-  keywords = {⛔ No DOI found}
+@article{Anderson:2018:TASILecturesGeometric,
+  title = {{{TASI Lectures}} on {{Geometric Tools}} for {{String Compactifications}}},
+  author = {Anderson, Lara B. and Karkheiran, Mohsen},
+  date = {2018-04},
+  url = {http://arxiv.org/abs/1804.08792},
+  abstract = {In this work we provide a self-contained and modern introduction to some of the tools, obstacles and open questions arising in string compactifications. Techniques and current progress are illustrated in the context of smooth heterotic string compactifications to 4-dimensions. Progress is described on bounding and enumerating possible string backgrounds and their properties. We provide an overview of constructions, partial classifications, and moduli problems associated to Calabi-Yau manifolds and holomorphic bundles over them.},
+  annotation = {ZSCC: 0000002},
+  file = {/home/riccardo/.local/share/zotero/files/anderson_karkheiran_2018_tasi_lectures_on_geometric_tools_for_string_compactifications.pdf}
 }

-@article{Candelas:1985:VacuumConfigurationsSuperstringsa,
+@article{Blumenhagen:2007:FourdimensionalStringCompactifications,
+  title = {Four-Dimensional String Compactifications with {{D}}-Branes, Orientifolds and Fluxes},
+  author = {Blumenhagen, Ralph and Körs, Boris and Lüst, Dieter and Stieberger, Stephan},
+  date = {2007-07},
+  journaltitle = {Physics Reports},
+  volume = {445},
+  pages = {1--193},
+  issn = {03701573},
+  doi = {10.1016/j.physrep.2007.04.003},
+  url = {http://arxiv.org/abs/hep-th/0610327 http://dx.doi.org/10.1016/j.physrep.2007.04.003 http://linkinghub.elsevier.com/retrieve/pii/S037015730700172X},
+  abstract = {This review article provides a pedagogical introduction into various classes of chiral string compactifications to four dimensions with D-branes and fluxes. The main concern is to provide all necessary technical tools to explicitly construct four-dimensional orientifold vacua, with the final aim to come as close as possible to the supersymmetric Standard Model. Furthermore, we outline the available methods to derive the resulting four-dimensional effective action. Finally, we summarize recent attempts to address the string vacuum problem via the statistical approach to D-brane models.},
+  annotation = {00000},
+  file = {/home/riccardo/.local/share/zotero/files/blumenhagen_et_al_2007_four-dimensional_string_compactifications_with_d-branes,_orientifolds_and_fluxes.pdf},
+  number = {1-6}
+}
+
+@book{Blumenhagen:2009:IntroductionConformalField,
+  title = {Introduction to {{Conformal Field Theory}}},
+  author = {Blumenhagen, Ralph and Plauschinn, Erik},
+  date = {2009},
+  volume = {779},
+  publisher = {{Springer Berlin Heidelberg}},
+  location = {{Berlin, Heidelberg}},
+  doi = {10.1007/978-3-642-00450-6},
+  url = {http://link.springer.com/10.1007/978-3-642-00450-6},
+  urldate = {2020-05-31},
+  file = {/home/riccardo/.local/share/zotero/files/blumenhagen_plauschinn_2009_introduction_to_conformal_field_theory.pdf},
+  isbn = {978-3-642-00449-0 978-3-642-00450-6},
+  langid = {english},
+  series = {Lecture {{Notes}} in {{Physics}}}
+}
+
+@book{Blumenhagen:2013:BasicConceptsString,
+  title = {Basic {{Concepts}} of {{String Theory}}},
+  author = {Blumenhagen, Ralph and Lüst, Dieter and Theisen, Stefan},
+  date = {2013},
+  publisher = {{Springer Berlin Heidelberg}},
+  location = {{Berlin, Heidelberg}},
+  doi = {10.1007/978-3-642-29497-6},
+  url = {http://link.springer.com/10.1007/978-3-642-29497-6},
+  urldate = {2020-05-31},
+  file = {/home/riccardo/.local/share/zotero/files/blumenhagen_et_al_2013_basic_concepts_of_string_theory.pdf},
+  isbn = {978-3-642-29496-9 978-3-642-29497-6},
+  langid = {english},
+  series = {Theoretical and {{Mathematical Physics}}}
+}
+
+@article{Candelas:1985:VacuumConfigurationsSuperstrings,
  title = {Vacuum Configurations for Superstrings},
  author = {Candelas, P. and Horowitz, Gary T. and Strominger, Andrew and Witten, Edward},
-  date = {1985-01},
+  date = {1985-01-01},
  journaltitle = {Nuclear Physics B},
-  shortjournal = {Nuclear Physics B},
  volume = {258},
  pages = {46--74},
  issn = {05503213},
  doi = {10.1016/0550-3213(85)90602-9},
-  url = {10.1016/0550-3213(85)90602-9},
+  url = {http://www.sciencedirect.com/science/article/pii/0550321385906029},
  urldate = {2020-08-31},
-  file = {/home/riccardo/.local/share/zotero/files/candelas_et_al_1985_vacuum_configurations_for_superstrings2.pdf},
+  abstract = {We study candidate vacuum configurations in ten-dimensional O(32) and E8 × E8 supergravity and superstring theory that have unbroken N = 1 supersymmetry in four dimensions. This condition permits only a few possibilities, all of which have vanishing cosmological constant. In the E8 × E8 case, one of these possibilities leads to a model that in four dimensions has an E6 gauge group with four standard generations of fermions.},
+  annotation = {http://web.archive.org/web/20200831103147/https://linkinghub.elsevier.com/retrieve/pii/0550321385906029},
+  file = {/home/riccardo/.local/share/zotero/files/candelas_et_al_1985_vacuum_configurations_for_superstrings.pdf},
  keywords = {archived},
  langid = {english}
 }

-@book{DiFrancesco:1997:ConformalFieldTheorya,
-  title = {Conformal Field Theory},
-  author = {Di Francesco, P. and Mathieu, P. and Senechal, D.},
+@book{DiFrancesco:1997:ConformalFieldTheory,
+  title = {Conformal {{Field Theory}}},
+  author = {Di Francesco, Philippe and Mathieu, Pierre and Sénéchal, David},
  date = {1997},
-  publisher = {{Springer-Verlag}},
-  location = {{New York}},
+  publisher = {{Springer New York}},
+  location = {{New York, NY}},
  doi = {10.1007/978-1-4612-2256-9},
-  isbn = {978-0-387-94785-3 978-1-4612-7475-9},
-  series = {Graduate Texts in Contemporary Physics}
+  url = {http://link.springer.com/10.1007/978-1-4612-2256-9},
+  urldate = {2020-05-31},
+  file = {/home/riccardo/.local/share/zotero/files/di_francesco_et_al_1997_conformal_field_theory.pdf},
+  isbn = {978-1-4612-7475-9 978-1-4612-2256-9},
+  langid = {english},
+  series = {Graduate {{Texts}} in {{Contemporary Physics}}}
 }

-@article{Friedan:1986:ConformalInvarianceSupersymmetrya,
+@article{Friedan:1986:ConformalInvarianceSupersymmetry,
+  ids = {Friedan:1986:ConformalInvarianceSupersymmetrya},
  title = {Conformal Invariance, Supersymmetry and String Theory},
-  author = {Friedan, Daniel and Martinec, Emil J. and Shenker, Stephen H.},
-  date = {1986},
+  author = {Friedan, Daniel and Martinec, Emil and Shenker, Stephen},
+  date = {1986-01},
  journaltitle = {Nuclear Physics B},
-  shortjournal = {Nucl. Phys. B},
  volume = {271},
  pages = {93--165},
-  doi = {10.1016/0550-3213(86)90356-1},
-  url = {10.1016/0550-3213(86)90356-1},
-  file = {/home/riccardo/.local/share/zotero/files/friedan_et_al_1986_conformal_invariance,_supersymmetry_and_string_theory4.pdf},
+  issn = {05503213},
+  doi = {10.1016/s0550-3213(86)80006-2},
+  url = {http://linkinghub.elsevier.com/retrieve/pii/S0550321386800062},
+  abstract = {Covariant quantization of string theories is developed in the context of conformal field theory and the BRST quantization procedure. The BRST method is used to covariantly quantize superstrings, and in particular to construct the vertex operators for string emission as well as the supersymmetry charge. The calculation of string loop diagrams is sketched. We discuss how conformal methods can be used to study string compactification and dynamics. © 1986, Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division). All rights reserved. All rights reserved.},
+  annotation = {ZSCC: 0002220},
+  file = {/home/riccardo/.local/share/zotero/files/friedan_et_al_1986_conformal_invariance,_supersymmetry_and_string_theory.pdf},
+  issue = {3-4},
  number = {PRINT-86-0024 (CHICAGO), EFI-85-89-CHICAGO}
 }

+@article{Ginsparg:1988:AppliedConformalField,
+  title = {Applied {{Conformal Field Theory}}},
+  author = {Ginsparg, Paul},
+  date = {1988-11},
+  url = {http://arxiv.org/abs/hep-th/9108028},
+  abstract = {These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: 1. Conformal theories in d dimensions 2. Conformal theories in 2 dimensions 3. The central charge and the Virasoro algebra 4. Kac determinant and unitarity 5. Identication of m = 3 with the critical Ising model 6. Free bosons and fermions 7. Free fermions on a torus 8. Free bosons on a torus 9. Affine Kac-Moody algebras and coset constructions 10. Advanced applications},
+  annotation = {ZSCC: 0000776},
+  file = {/home/riccardo/.local/share/zotero/files/ginsparg_1988_applied_conformal_field_theory.pdf}
+}
+
+@article{Grana:2005:FluxCompactificationsString,
+  title = {Flux Compactifications in String Theory: A Comprehensive Review},
+  author = {Graña, Mariana},
+  date = {2005-09},
+  journaltitle = {Physics Reports},
+  volume = {423},
+  pages = {91--158},
+  issn = {03701573},
+  doi = {10.1016/j.physrep.2005.10.008},
+  url = {http://linkinghub.elsevier.com/retrieve/pii/S0370157305004618 http://arxiv.org/abs/hep-th/0509003 http://dx.doi.org/10.1016/j.physrep.2005.10.008},
+  abstract = {We present a pedagogical overview of flux compactifications in string theory, from the basic ideas to the most recent developments. We concentrate on closed string fluxes in type II theories. We start by reviewing the supersymmetric flux configurations with maximally symmetric four-dimensional spaces. We then discuss the no-go theorems (and their evasion) for compactifications with fluxes. We analyze the resulting four-dimensional effective theories, as well as some of its perturbative and non-perturbative corrections, focusing on moduli stabilization. Finally, we briefly review statistical studies of flux backgrounds.},
+  annotation = {ZSCC: 0000000[s0]},
+  file = {/home/riccardo/.local/share/zotero/files/graña_2005_flux_compactifications_in_string_theory.pdf},
+  number = {3}
+}
+
+@book{Grana:2017:StringTheoryCompactifications,
+  title = {String {{Theory Compactifications}}},
+  author = {Graña, Mariana and Triendl, Hagen},
+  date = {2017},
+  publisher = {{Springer International Publishing}},
+  location = {{Cham}},
+  doi = {10.1007/978-3-319-54316-1},
+  url = {http://link.springer.com/10.1007/978-3-319-54316-1},
+  urldate = {2020-05-31},
+  file = {/home/riccardo/.local/share/zotero/files/graña_triendl_2017_string_theory_compactifications.pdf},
+  isbn = {978-3-319-54315-4 978-3-319-54316-1},
+  langid = {english},
+  series = {{{SpringerBriefs}} in {{Physics}}}
+}
+
@mvbook{Green:1988:SuperstringTheoryIntroduction,
  title = {Superstring {{Theory}}. {{Introduction}}.},
  author = {Green, Michael B. and Schwarz, J.H. and Witten, Edward},
  date = {1988-07},
  volume = {1},
-  file = {/home/riccardo/.local/share/zotero/storage/G7BXB7V4/GreenSchwarzWitten_SuperstringTheory_vol1.pdf},
+  file = {/home/riccardo/.local/share/zotero/files/green_et_al_1988_superstring_theory.pdf},
  isbn = {978-0-521-35752-4},
  series = {Cambridge Monographs on Mathematical Physics},
  volumes = {2}
@@ -67,23 +164,24 @@
  author = {Green, Michael B. and Schwarz, J.H. and Witten, Edward},
  date = {1988-07},
  volume = {2},
-  file = {/home/riccardo/.local/share/zotero/storage/QG8G8I3V/GreenSchwarzWitten_SuperstringTheory_vol2.pdf},
+  file = {/home/riccardo/.local/share/zotero/files/green_et_al_1988_superstring_theory2.pdf},
  isbn = {978-0-521-35753-1},
  volumes = {2}
 }

-@article{Joyce:2002:LecturesCalabiYauSpecial,
-  title = {Lectures on {{Calabi}}-{{Yau}} and Special {{Lagrangian}} Geometry},
-  author = {Joyce, Dominic},
-  date = {2002-06-25},
-  url = {http://arxiv.org/abs/math/0108088},
-  urldate = {2020-08-31},
-  abstract = {This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by a survey of recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture. It is aimed at graduate students in Geometry, String Theorists, and others wishing to learn the subject, and is designed to be fairly self-contained. It is based on lecture courses given at Nordfjordeid, Norway and MSRI, Berkeley in June and July 2001. We introduce Calabi-Yau m-folds via holonomy groups, Kahler geometry and the Calabi Conjecture, and special Lagrangian m-folds via calibrated geometry. `Almost Calabi-Yau m-folds' (a generalization of Calabi-Yau m-folds useful in special Lagrangian geometry) are explained and the deformation theory and moduli spaces of compact special Lagrangian submanifolds in (almost) Calabi-Yau m-folds is described. In the final part we consider isolated singularities of special Lagrangian m-folds, focussing mainly on singularities locally modelled on cones, and the expected behaviour of singularities of compact special Lagrangian m-folds in generic (almost) Calabi-Yau m-folds. String Theory, Mirror Symmetry and the SYZ Conjecture are briefly discussed, and some results of the author on singularities of special Lagrangian fibrations of Calabi-Yau 3-folds are described.},
+@article{Krippendorf:2010:CambridgeLecturesSupersymmetry,
+  ids = {krippendorfCambridgeLecturesSupersymmetry2010a},
+  title = {Cambridge {{Lectures}} on {{Supersymmetry}} and {{Extra Dimensions}}},
+  author = {Krippendorf, Sven and Quevedo, Fernando and Schlotterer, Oliver},
+  date = {2010-11-05},
+  url = {http://arxiv.org/abs/1011.1491},
+  abstract = {These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledge in general relativity might be advantageous for the discussion of extra dimensions. This course was taught as a 24+1 lecture course in Part III of the Mathematical Tripos in recent years. The first six chapters give an introduction to supersymmetry in four spacetime dimensions, they fill about two thirds of the lecture notes and are in principle self-contained. The remaining two chapters are devoted to extra spacetime dimensions which are in the end combined with the concept of supersymmetry. Videos from the course lectured in 2006 can be found online at http://www.sms.cam.ac.uk/collection/659537 .},
  archivePrefix = {arXiv},
-  eprint = {math/0108088},
+  eprint = {1011.1491},
  eprinttype = {arxiv},
-  file = {/home/riccardo/.local/share/zotero/files/joyce_2002_lectures_on_calabi-yau_and_special_lagrangian_geometry.pdf},
-  keywords = {⛔ No DOI found,High Energy Physics - Theory,Mathematics - Algebraic Geometry,Mathematics - Differential Geometry}
+  file = {/home/riccardo/.local/share/zotero/files/krippendorf_et_al_2010_cambridge_lectures_on_supersymmetry_and_extra_dimensions.pdf},
+  langid = {english},
+  primaryClass = {hep-ph, physics:hep-th}
 }

@mvbook{Polchinski:1998:StringTheoryIntroduction,
@@ -96,7 +194,7 @@
  doi = {10.1017/CBO9780511816079; http://web.archive.org/web/20200831133025/https://www.cambridge.org/core/books/string-theory/30409AF2BDE27D53E275FDA395AB667A},
  url = {https://doi.org/10.1017/CBO9780511816079},
  urldate = {2020-08-31},
-  file = {/home/riccardo/.local/share/zotero/storage/IBTZMGEY/Polchinski_StringTheory_vol1.pdf},
+  file = {/home/riccardo/.local/share/zotero/files/polchinski_1998_string_theory.pdf},
  isbn = {978-0-521-67227-6 978-0-521-63303-1 978-0-511-81607-9},
  keywords = {archived},
  volumes = {2}
@@ -112,7 +210,7 @@
  doi = {10.1017/CBO9780511618123; http://web.archive.org/web/20200831133053/https://www.cambridge.org/core/books/string-theory/2D456468D20AA8A9CE10CEB08B95B9DC},
  url = {https://doi.org/10.1017/CBO9780511618123},
  urldate = {2020-08-31},
-  file = {/home/riccardo/.local/share/zotero/storage/HYIV7348/Polchinski_StringTheory_vol2.pdf},
+  file = {/home/riccardo/.local/share/zotero/files/polchinski_1998_string_theory2.pdf},
  isbn = {978-0-521-63304-8 978-0-521-67228-3 978-0-511-61812-3},
  keywords = {archived},
  volumes = {2}
@@ -123,35 +221,26 @@
  author = {Polyakov, A.M.},
  date = {1981-07},
  journaltitle = {Physics Letters B},
-  shortjournal = {Physics Letters B},
  volume = {103},
  pages = {207--210},
  issn = {03702693},
  doi = {10.1016/0370-2693(81)90743-7},
  url = {10.1016/0370-2693(81)90743-7},
-  urldate = {2020-08-31},
-  file = {/home/riccardo/.local/share/zotero/files/polyakov_1981_quantum_geometry_of_bosonic_strings.pdf},
+  urldate = {2020-09-01},
+  annotation = {http://web.archive.org/web/20200901072439/https://linkinghub.elsevier.com/retrieve/pii/0370269381907437},
  keywords = {archived},
  langid = {english},
  number = {3}
 }

-@article{Yau:1977:CalabiConjectureNew,
-  title = {Calabi's Conjecture and Some New Results in Algebraic Geometry},
-  author = {Yau, S.-T.},
-  date = {1977-05-01},
-  journaltitle = {Proceedings of the National Academy of Sciences},
-  shortjournal = {Proceedings of the National Academy of Sciences},
-  volume = {74},
-  pages = {1798--1799},
-  issn = {0027-8424, 1091-6490},
-  doi = {10.1073/pnas.74.5.1798},
-  url = {10.1073/pnas.74.5.1798},
-  urldate = {2020-08-31},
-  file = {/home/riccardo/.local/share/zotero/files/yau_1977_calabi's_conjecture_and_some_new_results_in_algebraic_geometry.pdf},
-  keywords = {archived},
-  langid = {english},
-  number = {5}
+@article{Uranga:2005:TASILecturesString,
+  title = {{{TASI}} Lectures on {{String Compactification}}, {{Model Building}}, and {{Fluxes}}},
+  author = {Uranga, Angel M.},
+  date = {2005},
+  url = {http://cds.cern.ch/record/933469/files/cer-002601054.pdf},
+  abstract = {We review the construction of chiral four-dimensional compactifications of string theory with different systems of D-branes, including type IIA intersecting D6-branes and type IIB magnetised D-branes. Such models lead to four-dimensional theories with non-abelian gauge interactions and charged chiral fermions. We discuss the application of these techniques to building of models with spectrum as close as possible to the Standard Model, and review their main phenomenological properties. We finally describe how to implement the tecniques to construct these models in flux compactifications, leading to models with realistic gauge sectors, moduli stabilization and supersymmetry breaking soft terms.},
+  annotation = {ZSCC: 0000000},
+  file = {/home/riccardo/.local/share/zotero/files/uranga_2005_tasi_lectures_on_string_compactification,_model_building,_and_fluxes.pdf}
 }