End of NBO

Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
This commit is contained in:
2020-10-05 17:49:06 +02:00
parent 3e8dfee25e
commit f97b9f87a1
7 changed files with 2298 additions and 809 deletions

View File

@@ -47,6 +47,7 @@
\numberwithin{table}{section}
%---- abbreviations
\providecommand{\sm}{\textsc{sm}\xspace}
\providecommand{\eom}{\textsc{e.o.m.}\xspace}
\providecommand{\cft}{\textsc{CFT}\xspace}
@@ -54,10 +55,12 @@
\providecommand{\qed}{\textsc{QED}\xspace}
\providecommand{\qcd}{\textsc{QCD}\xspace}
\providecommand{\ope}{\textsc{o.p.e.}\xspace}
\providecommand{\dof}{\textsc{d.o.f.}\xspace}
\providecommand{\cy}{\textsc{CY}\xspace}
\providecommand{\lhs}{\textsc{lhs}\xspace}
\providecommand{\rhs}{\textsc{rhs}\xspace}
\providecommand{\ap}{\ensuremath{\alpha'}\xspace}
\providecommand{\sgn}{\ensuremath{\mathrm{sign}}}
%---- remap greek letters
@@ -256,6 +259,45 @@
\providecommand{\hPsi}{\ensuremath{\widehat{\Uppsi}}\xspace}
\providecommand{\hOmega}{\ensuremath{\widehat{\Upomega}}\xspace}
\providecommand{\ualpha}{\ensuremath{\underline{\upalpha}}\xspace}
\providecommand{\ubeta}{\ensuremath{\underline{\upbeta}}\xspace}
\providecommand{\ugamma}{\ensuremath{\underline{\upgamma}}\xspace}
\providecommand{\udelta}{\ensuremath{\underline{\updelta}}\xspace}
\providecommand{\uepsilon}{\ensuremath{\underline{\upepsilon}}\xspace}
\providecommand{\uzeta}{\ensuremath{\underline{\upzeta}}\xspace}
\providecommand{\ueta}{\ensuremath{\underline{\upeta}}\xspace}
\providecommand{\utheta}{\ensuremath{\underline{\uptheta}}\xspace}
\providecommand{\uiota}{\ensuremath{\underline{\upiota}}\xspace}
\providecommand{\ukappa}{\ensuremath{\underline{\upkappa}}\xspace}
\providecommand{\ulambda}{\ensuremath{\underline{\uplambda}}\xspace}
\providecommand{\umu}{\ensuremath{\underline{\upmu}}\xspace}
\providecommand{\unu}{\ensuremath{\underline{\upnu}}\xspace}
\providecommand{\uxi}{\ensuremath{\underline{\upxi}}\xspace}
\providecommand{\upi}{\ensuremath{\underline{\uppi}}\xspace}
\providecommand{\urho}{\ensuremath{\underline{\uprho}}\xspace}
\providecommand{\usigma}{\ensuremath{\underline{\upsigma}}\xspace}
\providecommand{\utau}{\ensuremath{\underline{\uptau}}\xspace}
\providecommand{\uupsilon}{\ensuremath{\underline{\upupsilon}}\xspace}
\providecommand{\uphi}{\ensuremath{\underline{\upphi}}\xspace}
\providecommand{\uchi}{\ensuremath{\underline{\upchi}}\xspace}
\providecommand{\upsi}{\ensuremath{\underline{\uppsi}}\xspace}
\providecommand{\uomega}{\ensuremath{\underline{\upomega}}\xspace}
\providecommand{\uvarepsilon}{\ensuremath{\underline{\upvarepsilon}}\xspace}
\providecommand{\uvartheta}{\ensuremath{\underline{\upvartheta}}\xspace}
\providecommand{\uvarpi}{\ensuremath{\underline{\upvarpi}}\xspace}
\providecommand{\uvarphi}{\ensuremath{\underline{\upvarphi}}\xspace}
\providecommand{\uGamma}{\ensuremath{\underline{\Upgamma}}\xspace}
\providecommand{\uDelta}{\ensuremath{\underline{\Updelta}}\xspace}
\providecommand{\uTheta}{\ensuremath{\underline{\Uptheta}}\xspace}
\providecommand{\uLambda}{\ensuremath{\underline{\Uplambda}}\xspace}
\providecommand{\uXi}{\ensuremath{\underline{\Upxi}}\xspace}
\providecommand{\uPi}{\ensuremath{\underline{\Uppi}}\xspace}
\providecommand{\uSigma}{\ensuremath{\underline{\Upsigma}}\xspace}
\providecommand{\uUpsilon}{\ensuremath{\underline{\Upupsilon}}\xspace}
\providecommand{\uPhi}{\ensuremath{\underline{\Upphi}}\xspace}
\providecommand{\uPsi}{\ensuremath{\underline{\Uppsi}}\xspace}
\providecommand{\uOmega}{\ensuremath{\underline{\Upomega}}\xspace}
%---- numerical sets
\providecommand{\1}{\ensuremath{\mathds{1}}\xspace}
@@ -479,6 +521,59 @@
\providecommand{\hatY}{\ensuremath{\widehat{Y}}\xspace}
\providecommand{\hatZ}{\ensuremath{\widehat{Z}}\xspace}
\providecommand{\undera}{\ensuremath{\underline{a}}\xspace}
\providecommand{\underb}{\ensuremath{\underline{b}}\xspace}
\providecommand{\underc}{\ensuremath{\underline{c}}\xspace}
\providecommand{\underd}{\ensuremath{\underline{d}}\xspace}
\providecommand{\undere}{\ensuremath{\underline{e}}\xspace}
\providecommand{\underf}{\ensuremath{\underline{f}}\xspace}
\providecommand{\underg}{\ensuremath{\underline{g}}\xspace}
\providecommand{\underh}{\ensuremath{\underline{h}}\xspace}
\providecommand{\underi}{\ensuremath{\underline{i}}\xspace}
\providecommand{\underj}{\ensuremath{\underline{j}}\xspace}
\providecommand{\underk}{\ensuremath{\underline{k}}\xspace}
\providecommand{\underl}{\ensuremath{\underline{l}}\xspace}
\providecommand{\underm}{\ensuremath{\underline{m}}\xspace}
\providecommand{\undern}{\ensuremath{\underline{n}}\xspace}
\providecommand{\undero}{\ensuremath{\underline{o}}\xspace}
\providecommand{\underp}{\ensuremath{\underline{p}}\xspace}
\providecommand{\underq}{\ensuremath{\underline{q}}\xspace}
\providecommand{\underr}{\ensuremath{\underline{r}}\xspace}
\providecommand{\unders}{\ensuremath{\underline{s}}\xspace}
\providecommand{\undert}{\ensuremath{\underline{t}}\xspace}
\providecommand{\underu}{\ensuremath{\underline{u}}\xspace}
\providecommand{\underv}{\ensuremath{\underline{v}}\xspace}
\providecommand{\underw}{\ensuremath{\underline{w}}\xspace}
\providecommand{\underx}{\ensuremath{\underline{x}}\xspace}
\providecommand{\undery}{\ensuremath{\underline{y}}\xspace}
\providecommand{\underz}{\ensuremath{\underline{z}}\xspace}
\providecommand{\underA}{\ensuremath{\underline{A}}\xspace}
\providecommand{\underB}{\ensuremath{\underline{B}}\xspace}
\providecommand{\underC}{\ensuremath{\underline{C}}\xspace}
\providecommand{\underD}{\ensuremath{\underline{D}}\xspace}
\providecommand{\underE}{\ensuremath{\underline{E}}\xspace}
\providecommand{\underF}{\ensuremath{\underline{F}}\xspace}
\providecommand{\underG}{\ensuremath{\underline{G}}\xspace}
\providecommand{\underH}{\ensuremath{\underline{H}}\xspace}
\providecommand{\underI}{\ensuremath{\underline{I}}\xspace}
\providecommand{\underJ}{\ensuremath{\underline{J}}\xspace}
\providecommand{\underK}{\ensuremath{\underline{K}}\xspace}
\providecommand{\underL}{\ensuremath{\underline{L}}\xspace}
\providecommand{\underM}{\ensuremath{\underline{M}}\xspace}
\providecommand{\underN}{\ensuremath{\underline{N}}\xspace}
\providecommand{\underO}{\ensuremath{\underline{O}}\xspace}
\providecommand{\underP}{\ensuremath{\underline{P}}\xspace}
\providecommand{\underQ}{\ensuremath{\underline{Q}}\xspace}
\providecommand{\underR}{\ensuremath{\underline{R}}\xspace}
\providecommand{\underS}{\ensuremath{\underline{S}}\xspace}
\providecommand{\underT}{\ensuremath{\underline{T}}\xspace}
\providecommand{\underU}{\ensuremath{\underline{U}}\xspace}
\providecommand{\underV}{\ensuremath{\underline{V}}\xspace}
\providecommand{\underW}{\ensuremath{\underline{W}}\xspace}
\providecommand{\underX}{\ensuremath{\underline{X}}\xspace}
\providecommand{\underY}{\ensuremath{\underline{Y}}\xspace}
\providecommand{\underZ}{\ensuremath{\underline{Z}}\xspace}
%---- calligraphic letters
\providecommand{\cA}{\ensuremath{\mathcal{A}}\xspace}
@@ -751,6 +846,60 @@
\providecommand{\bccY}{\ensuremath{\overline{\mathscr{Y}}}\xspace}
\providecommand{\bccZ}{\ensuremath{\overline{\mathscr{Z}}}\xspace}
\providecommand{\ucA}{\ensuremath{\underline{\mathcal{A}}}\xspace}
\providecommand{\ucB}{\ensuremath{\underline{\mathcal{B}}}\xspace}
\providecommand{\ucC}{\ensuremath{\underline{\mathcal{C}}}\xspace}
\providecommand{\ucD}{\ensuremath{\underline{\mathcal{D}}}\xspace}
\providecommand{\ucE}{\ensuremath{\underline{\mathcal{E}}}\xspace}
\providecommand{\ucF}{\ensuremath{\underline{\mathcal{F}}}\xspace}
\providecommand{\ucG}{\ensuremath{\underline{\mathcal{G}}}\xspace}
\providecommand{\ucH}{\ensuremath{\underline{\mathcal{H}}}\xspace}
\providecommand{\ucI}{\ensuremath{\underline{\mathcal{I}}}\xspace}
\providecommand{\ucJ}{\ensuremath{\underline{\mathcal{J}}}\xspace}
\providecommand{\ucK}{\ensuremath{\underline{\mathcal{K}}}\xspace}
\providecommand{\ucL}{\ensuremath{\underline{\mathcal{L}}}\xspace}
\providecommand{\ucM}{\ensuremath{\underline{\mathcal{M}}}\xspace}
\providecommand{\ucN}{\ensuremath{\underline{\mathcal{N}}}\xspace}
\providecommand{\ucO}{\ensuremath{\underline{\mathcal{O}}}\xspace}
\providecommand{\ucP}{\ensuremath{\underline{\mathcal{P}}}\xspace}
\providecommand{\ucQ}{\ensuremath{\underline{\mathcal{Q}}}\xspace}
\providecommand{\ucR}{\ensuremath{\underline{\mathcal{R}}}\xspace}
\providecommand{\ucS}{\ensuremath{\underline{\mathcal{S}}}\xspace}
\providecommand{\ucT}{\ensuremath{\underline{\mathcal{T}}}\xspace}
\providecommand{\ucU}{\ensuremath{\underline{\mathcal{U}}}\xspace}
\providecommand{\ucV}{\ensuremath{\underline{\mathcal{V}}}\xspace}
\providecommand{\ucW}{\ensuremath{\underline{\mathcal{W}}}\xspace}
\providecommand{\ucX}{\ensuremath{\underline{\mathcal{X}}}\xspace}
\providecommand{\ucY}{\ensuremath{\underline{\mathcal{Y}}}\xspace}
\providecommand{\ucZ}{\ensuremath{\underline{\mathcal{Z}}}\xspace}
\providecommand{\uccA}{\ensuremath{\underline{\mathscr{A}}}\xspace}
\providecommand{\uccB}{\ensuremath{\underline{\mathscr{B}}}\xspace}
\providecommand{\uccC}{\ensuremath{\underline{\mathscr{C}}}\xspace}
\providecommand{\uccD}{\ensuremath{\underline{\mathscr{D}}}\xspace}
\providecommand{\uccE}{\ensuremath{\underline{\mathscr{E}}}\xspace}
\providecommand{\uccF}{\ensuremath{\underline{\mathscr{F}}}\xspace}
\providecommand{\uccG}{\ensuremath{\underline{\mathscr{G}}}\xspace}
\providecommand{\uccH}{\ensuremath{\underline{\mathscr{H}}}\xspace}
\providecommand{\uccI}{\ensuremath{\underline{\mathscr{I}}}\xspace}
\providecommand{\uccJ}{\ensuremath{\underline{\mathscr{J}}}\xspace}
\providecommand{\uccK}{\ensuremath{\underline{\mathscr{K}}}\xspace}
\providecommand{\uccL}{\ensuremath{\underline{\mathscr{L}}}\xspace}
\providecommand{\uccM}{\ensuremath{\underline{\mathscr{M}}}\xspace}
\providecommand{\uccN}{\ensuremath{\underline{\mathscr{N}}}\xspace}
\providecommand{\uccO}{\ensuremath{\underline{\mathscr{O}}}\xspace}
\providecommand{\uccP}{\ensuremath{\underline{\mathscr{P}}}\xspace}
\providecommand{\uccQ}{\ensuremath{\underline{\mathscr{Q}}}\xspace}
\providecommand{\uccR}{\ensuremath{\underline{\mathscr{R}}}\xspace}
\providecommand{\uccS}{\ensuremath{\underline{\mathscr{S}}}\xspace}
\providecommand{\uccT}{\ensuremath{\underline{\mathscr{T}}}\xspace}
\providecommand{\uccU}{\ensuremath{\underline{\mathscr{U}}}\xspace}
\providecommand{\uccV}{\ensuremath{\underline{\mathscr{V}}}\xspace}
\providecommand{\uccW}{\ensuremath{\underline{\mathscr{W}}}\xspace}
\providecommand{\uccX}{\ensuremath{\underline{\mathscr{X}}}\xspace}
\providecommand{\uccY}{\ensuremath{\underline{\mathscr{Y}}}\xspace}
\providecommand{\uccZ}{\ensuremath{\underline{\mathscr{Z}}}\xspace}
%---- roman letters
\providecommand{\rA}{\ensuremath{\mathrm{A}}\xspace}
@@ -834,6 +983,33 @@
\providecommand{\trY}{\ensuremath{\widetilde{\mathrm{Y}}}\xspace}
\providecommand{\trZ}{\ensuremath{\widetilde{\mathrm{Z}}}\xspace}
\providecommand{\urA}{\ensuremath{\underline{\mathrm{A}}}\xspace}
\providecommand{\urB}{\ensuremath{\underline{\mathrm{B}}}\xspace}
\providecommand{\urC}{\ensuremath{\underline{\mathrm{C}}}\xspace}
\providecommand{\urD}{\ensuremath{\underline{\mathrm{D}}}\xspace}
\providecommand{\urE}{\ensuremath{\underline{\mathrm{E}}}\xspace}
\providecommand{\urF}{\ensuremath{\underline{\mathrm{F}}}\xspace}
\providecommand{\urG}{\ensuremath{\underline{\mathrm{G}}}\xspace}
\providecommand{\urH}{\ensuremath{\underline{\mathrm{H}}}\xspace}
\providecommand{\urI}{\ensuremath{\underline{\mathrm{I}}}\xspace}
\providecommand{\urJ}{\ensuremath{\underline{\mathrm{J}}}\xspace}
\providecommand{\urK}{\ensuremath{\underline{\mathrm{K}}}\xspace}
\providecommand{\urL}{\ensuremath{\underline{\mathrm{L}}}\xspace}
\providecommand{\urM}{\ensuremath{\underline{\mathrm{M}}}\xspace}
\providecommand{\urN}{\ensuremath{\underline{\mathrm{N}}}\xspace}
\providecommand{\urO}{\ensuremath{\underline{\mathrm{O}}}\xspace}
\providecommand{\urP}{\ensuremath{\underline{\mathrm{P}}}\xspace}
\providecommand{\urQ}{\ensuremath{\underline{\mathrm{Q}}}\xspace}
\providecommand{\urR}{\ensuremath{\underline{\mathrm{R}}}\xspace}
\providecommand{\urS}{\ensuremath{\underline{\mathrm{S}}}\xspace}
\providecommand{\urT}{\ensuremath{\underline{\mathrm{T}}}\xspace}
\providecommand{\urU}{\ensuremath{\underline{\mathrm{U}}}\xspace}
\providecommand{\urV}{\ensuremath{\underline{\mathrm{V}}}\xspace}
\providecommand{\urW}{\ensuremath{\underline{\mathrm{W}}}\xspace}
\providecommand{\urX}{\ensuremath{\underline{\mathrm{X}}}\xspace}
\providecommand{\urY}{\ensuremath{\underline{\mathrm{Y}}}\xspace}
\providecommand{\urZ}{\ensuremath{\underline{\mathrm{Z}}}\xspace}
\providecommand{\hrA}{\ensuremath{\widehat{\mathrm{A}}}\xspace}
\providecommand{\hrB}{\ensuremath{\widehat{\mathrm{B}}}\xspace}
\providecommand{\hrC}{\ensuremath{\widehat{\mathrm{C}}}\xspace}
@@ -1155,6 +1331,59 @@
\providecommand{\bffY}{\ensuremath{\overline{\mathfrak{Y}}}\xspace}
\providecommand{\bffZ}{\ensuremath{\overline{\mathfrak{Z}}}\xspace}
\providecommand{\uffa}{\ensuremath{\underline{\mathfrak{a}}}\xspace}
\providecommand{\uffb}{\ensuremath{\underline{\mathfrak{b}}}\xspace}
\providecommand{\uffc}{\ensuremath{\underline{\mathfrak{c}}}\xspace}
\providecommand{\uffd}{\ensuremath{\underline{\mathfrak{d}}}\xspace}
\providecommand{\uffe}{\ensuremath{\underline{\mathfrak{e}}}\xspace}
\providecommand{\ufff}{\ensuremath{\underline{\mathfrak{f}}}\xspace}
\providecommand{\uffg}{\ensuremath{\underline{\mathfrak{g}}}\xspace}
\providecommand{\uffh}{\ensuremath{\underline{\mathfrak{h}}}\xspace}
\providecommand{\uffi}{\ensuremath{\underline{\mathfrak{i}}}\xspace}
\providecommand{\uffj}{\ensuremath{\underline{\mathfrak{j}}}\xspace}
\providecommand{\uffk}{\ensuremath{\underline{\mathfrak{k}}}\xspace}
\providecommand{\uffl}{\ensuremath{\underline{\mathfrak{l}}}\xspace}
\providecommand{\uffm}{\ensuremath{\underline{\mathfrak{m}}}\xspace}
\providecommand{\uffn}{\ensuremath{\underline{\mathfrak{n}}}\xspace}
\providecommand{\uffo}{\ensuremath{\underline{\mathfrak{o}}}\xspace}
\providecommand{\uffp}{\ensuremath{\underline{\mathfrak{p}}}\xspace}
\providecommand{\uffq}{\ensuremath{\underline{\mathfrak{q}}}\xspace}
\providecommand{\uffr}{\ensuremath{\underline{\mathfrak{r}}}\xspace}
\providecommand{\uffs}{\ensuremath{\underline{\mathfrak{s}}}\xspace}
\providecommand{\ufft}{\ensuremath{\underline{\mathfrak{t}}}\xspace}
\providecommand{\uffu}{\ensuremath{\underline{\mathfrak{u}}}\xspace}
\providecommand{\uffv}{\ensuremath{\underline{\mathfrak{v}}}\xspace}
\providecommand{\uffw}{\ensuremath{\underline{\mathfrak{w}}}\xspace}
\providecommand{\uffx}{\ensuremath{\underline{\mathfrak{x}}}\xspace}
\providecommand{\uffy}{\ensuremath{\underline{\mathfrak{y}}}\xspace}
\providecommand{\uffz}{\ensuremath{\underline{\mathfrak{z}}}\xspace}
\providecommand{\uffA}{\ensuremath{\underline{\mathfrak{A}}}\xspace}
\providecommand{\uffB}{\ensuremath{\underline{\mathfrak{B}}}\xspace}
\providecommand{\uffC}{\ensuremath{\underline{\mathfrak{C}}}\xspace}
\providecommand{\uffD}{\ensuremath{\underline{\mathfrak{D}}}\xspace}
\providecommand{\uffE}{\ensuremath{\underline{\mathfrak{E}}}\xspace}
\providecommand{\uffF}{\ensuremath{\underline{\mathfrak{F}}}\xspace}
\providecommand{\uffG}{\ensuremath{\underline{\mathfrak{G}}}\xspace}
\providecommand{\uffH}{\ensuremath{\underline{\mathfrak{H}}}\xspace}
\providecommand{\uffI}{\ensuremath{\underline{\mathfrak{I}}}\xspace}
\providecommand{\uffJ}{\ensuremath{\underline{\mathfrak{J}}}\xspace}
\providecommand{\uffK}{\ensuremath{\underline{\mathfrak{K}}}\xspace}
\providecommand{\uffL}{\ensuremath{\underline{\mathfrak{L}}}\xspace}
\providecommand{\uffM}{\ensuremath{\underline{\mathfrak{M}}}\xspace}
\providecommand{\uffN}{\ensuremath{\underline{\mathfrak{N}}}\xspace}
\providecommand{\uffO}{\ensuremath{\underline{\mathfrak{O}}}\xspace}
\providecommand{\uffP}{\ensuremath{\underline{\mathfrak{P}}}\xspace}
\providecommand{\uffQ}{\ensuremath{\underline{\mathfrak{Q}}}\xspace}
\providecommand{\uffR}{\ensuremath{\underline{\mathfrak{R}}}\xspace}
\providecommand{\uffS}{\ensuremath{\underline{\mathfrak{S}}}\xspace}
\providecommand{\uffT}{\ensuremath{\underline{\mathfrak{T}}}\xspace}
\providecommand{\uffU}{\ensuremath{\underline{\mathfrak{U}}}\xspace}
\providecommand{\uffV}{\ensuremath{\underline{\mathfrak{V}}}\xspace}
\providecommand{\uffW}{\ensuremath{\underline{\mathfrak{W}}}\xspace}
\providecommand{\uffX}{\ensuremath{\underline{\mathfrak{X}}}\xspace}
\providecommand{\uffY}{\ensuremath{\underline{\mathfrak{Y}}}\xspace}
\providecommand{\uffZ}{\ensuremath{\underline{\mathfrak{Z}}}\xspace}
%---- groups
\providecommand{\OO}[1]{\ensuremath{\mathrm{O}(#1)}\xspace}
@@ -1165,6 +1394,7 @@
\providecommand{\GL}[2]{\ensuremath{\mathrm{GL}_{#1}(#2)}\xspace}
%---- algebras
\providecommand{\liebraket}[2]{\ensuremath{\left[ #1,\, #2 \right]}}
\providecommand{\no}[1]{\ensuremath{\colon #1 \colon}\xspace}