diff --git a/sec/part1/introduction.tex b/sec/part1/introduction.tex index 63ac51b..ec3fe8c 100644 --- a/sec/part1/introduction.tex +++ b/sec/part1/introduction.tex @@ -1280,7 +1280,7 @@ The field $\cA^a$ forms a vector representation of the group \SO{D-1-p} and from \end{figure} It is also possible to add non dynamical degrees of freedom (\dof) to the open string endpoints. -They are known as \emph{Chan-Paton factors}~\cite{Paton:1969:GeneralizedVenezianoModel}. +They are known as \emph{Chan-Paton factors}~\cite{Chan:1969:GeneralizedVenezianoModel}. They have no dynamics and do not spoil Poincaré or conformal invariance in the action of the string. Each state can then be labelled by $i$ and $j$ running from $1$ to $N$. Matrices $\tensor{\lambda}{^a_{ij}}$ thus form a basis for expanding wave functions and states: diff --git a/sec/part2/divergences.tex b/sec/part2/divergences.tex index 3469fdd..a023e13 100644 --- a/sec/part2/divergences.tex +++ b/sec/part2/divergences.tex @@ -3547,7 +3547,7 @@ Differently from the \nbo, in this case the orbifold generator~\eqref{eq:nbo_kil \kappa & = - 2 \pi i \Delta\, J_{+2} - 2 \pi i R P_3 \\ & = - 2 \pi\, (\Delta\, \ipd{z} + R,\ \ipd{3}). + 2 \pi\, (\Delta\, \ipd{z} + R\, \ipd{3}). \end{split} \end{equation} with metric diff --git a/thesis.bib b/thesis.bib index 6e249a3..071a8d5 100644 --- a/thesis.bib +++ b/thesis.bib @@ -792,6 +792,22 @@ number = {9} } +@article{Chan:1969:GeneralizedVenezianoModel, + title = {Generalized {{Veneziano}} Model with Isospin}, + author = {Chan, Hong-Mo and Paton, Jack E.}, + date = {1969}, + journaltitle = {Nuclear Physics B}, + shortjournal = {Nuclear Physics B}, + volume = {10}, + pages = {516--520}, + issn = {05503213}, + doi = {10/chp79v}, + file = {/home/riccardo/.local/share/zotero/files/paton_chan_hong-mo_1969_generalized_veneziano_model_with_isospin.pdf}, + keywords = {archived}, + langid = {english}, + number = {3} +} + @article{Chen:2008:RealisticWorldIntersecting, title = {A {{Realistic World}} from {{Intersecting D6}}-{{Branes}}}, author = {Chen, Ching-Ming and Li, Tianjun and Mayes, van Eric and Nanopoulos, Dimitri V.}, @@ -2429,22 +2445,6 @@ number = {5} } -@article{Paton:1969:GeneralizedVenezianoModel, - title = {Generalized {{Veneziano}} Model with Isospin}, - author = {Paton, Jack E. and {Chan Hong-Mo}}, - date = {1969}, - journaltitle = {Nuclear Physics B}, - shortjournal = {Nuclear Physics B}, - volume = {10}, - pages = {516--520}, - issn = {05503213}, - doi = {10/chp79v}, - file = {/home/riccardo/.local/share/zotero/files/paton_chan_hong-mo_1969_generalized_veneziano_model_with_isospin.pdf}, - keywords = {archived}, - langid = {english}, - number = {3} -} - @article{Pedregosa:2011:ScikitlearnMachineLearning, title = {Scikit-Learn: {{Machine}} Learning in Python}, author = {Pedregosa, Fabian and Varoquaux, Gaël and Gramfort, Alexandre and Michel, Vincent and Thirion, Bertrand and Grisel, Olivier and Blondel, Mathieu and Prettenhofer, Peter and Weiss, Ron and Dubourg, Vincent and Vanderplas, Jake and Passos, Alexandre and Cournapeau, David and Brucher, Matthieu and Perrot, Matthieu and Duchesnay, Édouard},