Closed strings and CY
Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
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							| @@ -47,176 +47,179 @@ | ||||
|  | ||||
| %---- remap greek letters | ||||
|  | ||||
| \renewcommand{\alpha}{\upalpha} | ||||
| \renewcommand{\beta}{\upbeta} | ||||
| \renewcommand{\gamma}{\upgamma} | ||||
| \renewcommand{\delta}{\updelta} | ||||
| \renewcommand{\epsilon}{\upepsilon} | ||||
| \renewcommand{\zeta}{\upzeta} | ||||
| \renewcommand{\eta}{\upeta} | ||||
| \renewcommand{\theta}{\uptheta} | ||||
| \renewcommand{\iota}{\upiota} | ||||
| \renewcommand{\kappa}{\upkappa} | ||||
| \renewcommand{\lambda}{\uplambda} | ||||
| \renewcommand{\mu}{\upmu} | ||||
| \renewcommand{\nu}{\upnu} | ||||
| \renewcommand{\xi}{\upxi} | ||||
| \renewcommand{\pi}{\uppi} | ||||
| \renewcommand{\rho}{\uprho} | ||||
| \renewcommand{\sigma}{\upsigma} | ||||
| \renewcommand{\tau}{\uptau} | ||||
| \renewcommand{\upsilon}{\upupsilon} | ||||
| \renewcommand{\phi}{\upphi} | ||||
| \renewcommand{\chi}{\upchi} | ||||
| \renewcommand{\psi}{\uppsi} | ||||
| \renewcommand{\omega}{\upomega} | ||||
| \renewcommand{\varepsilon}{\upvarepsilon} | ||||
| \renewcommand{\vartheta}{\upvartheta} | ||||
| \renewcommand{\varpi}{\upvarpi} | ||||
| \renewcommand{\varphi}{\upvarphi} | ||||
| \renewcommand{\Gamma}{\Upgamma} | ||||
| \renewcommand{\Delta}{\Updelta} | ||||
| \renewcommand{\Theta}{\Uptheta} | ||||
| \renewcommand{\Lambda}{\Uplambda} | ||||
| \renewcommand{\Xi}{\Upxi} | ||||
| \renewcommand{\Pi}{\Uppi} | ||||
| \renewcommand{\Sigma}{\Upsigma} | ||||
| \renewcommand{\Upsilon}{\Upupsilon} | ||||
| \renewcommand{\Phi}{\Upphi} | ||||
| \renewcommand{\Psi}{\Uppsi} | ||||
| \renewcommand{\Omega}{\Upomega} | ||||
| \renewcommand{\alpha}{\upalpha\xspace} | ||||
| \renewcommand{\beta}{\upbeta\xspace} | ||||
| \renewcommand{\gamma}{\upgamma\xspace} | ||||
| \renewcommand{\delta}{\updelta\xspace} | ||||
| \renewcommand{\epsilon}{\upepsilon\xspace} | ||||
| \renewcommand{\zeta}{\upzeta\xspace} | ||||
| \renewcommand{\eta}{\upeta\xspace} | ||||
| \renewcommand{\theta}{\uptheta\xspace} | ||||
| \renewcommand{\iota}{\upiota\xspace} | ||||
| \renewcommand{\kappa}{\upkappa\xspace} | ||||
| \renewcommand{\lambda}{\uplambda\xspace} | ||||
| \renewcommand{\mu}{\upmu\xspace} | ||||
| \renewcommand{\nu}{\upnu\xspace} | ||||
| \renewcommand{\xi}{\upxi\xspace} | ||||
| \renewcommand{\pi}{\uppi\xspace} | ||||
| \renewcommand{\rho}{\uprho\xspace} | ||||
| \renewcommand{\sigma}{\upsigma\xspace} | ||||
| \renewcommand{\tau}{\uptau\xspace} | ||||
| \renewcommand{\upsilon}{\upupsilon\xspace} | ||||
| \renewcommand{\phi}{\upphi\xspace} | ||||
| \renewcommand{\chi}{\upchi\xspace} | ||||
| \renewcommand{\psi}{\uppsi\xspace} | ||||
| \renewcommand{\omega}{\upomega\xspace} | ||||
| \renewcommand{\varepsilon}{\upvarepsilon\xspace} | ||||
| \renewcommand{\vartheta}{\upvartheta\xspace} | ||||
| \renewcommand{\varpi}{\upvarpi\xspace} | ||||
| \renewcommand{\varphi}{\upvarphi\xspace} | ||||
| \renewcommand{\Gamma}{\Upgamma\xspace} | ||||
| \renewcommand{\Delta}{\Updelta\xspace} | ||||
| \renewcommand{\Theta}{\Uptheta\xspace} | ||||
| \renewcommand{\Lambda}{\Uplambda\xspace} | ||||
| \renewcommand{\Xi}{\Upxi\xspace} | ||||
| \renewcommand{\Pi}{\Uppi\xspace} | ||||
| \renewcommand{\Sigma}{\Upsigma\xspace} | ||||
| \renewcommand{\Upsilon}{\Upupsilon\xspace} | ||||
| \renewcommand{\Phi}{\Upphi\xspace} | ||||
| \renewcommand{\Psi}{\Uppsi\xspace} | ||||
| \renewcommand{\Omega}{\Upomega\xspace} | ||||
|  | ||||
| %---- numerical sets | ||||
|  | ||||
| \providecommand{\1}{\ensuremath{\mathds{1}}} | ||||
| \providecommand{\N}{\ensuremath{\mathds{N}}} | ||||
| \providecommand{\Q}{\ensuremath{\mathds{Q}}} | ||||
| \providecommand{\R}{\ensuremath{\mathds{R}}} | ||||
| \providecommand{\Z}{\ensuremath{\mathds{Z}}} | ||||
| \providecommand{\C}{\ensuremath{\mathds{C}}} | ||||
| \providecommand{\1}{\ensuremath{\mathds{1}}\xspace} | ||||
| \providecommand{\N}{\ensuremath{\mathds{N}}\xspace} | ||||
| \providecommand{\Q}{\ensuremath{\mathds{Q}}\xspace} | ||||
| \providecommand{\R}{\ensuremath{\mathds{R}}\xspace} | ||||
| \providecommand{\Z}{\ensuremath{\mathds{Z}}\xspace} | ||||
| \providecommand{\C}{\ensuremath{\mathds{C}}\xspace} | ||||
|  | ||||
| %---- calligraphic letters | ||||
|  | ||||
| \providecommand{\cA}{\ensuremath{\mathcal{A}}} | ||||
| \providecommand{\cB}{\ensuremath{\mathcal{B}}} | ||||
| \providecommand{\cC}{\ensuremath{\mathcal{C}}} | ||||
| \providecommand{\cD}{\ensuremath{\mathcal{D}}} | ||||
| \providecommand{\cE}{\ensuremath{\mathcal{E}}} | ||||
| \providecommand{\cF}{\ensuremath{\mathcal{F}}} | ||||
| \providecommand{\cG}{\ensuremath{\mathcal{G}}} | ||||
| \providecommand{\cH}{\ensuremath{\mathcal{H}}} | ||||
| \providecommand{\cI}{\ensuremath{\mathcal{I}}} | ||||
| \providecommand{\cJ}{\ensuremath{\mathcal{J}}} | ||||
| \providecommand{\cK}{\ensuremath{\mathcal{K}}} | ||||
| \providecommand{\cL}{\ensuremath{\mathcal{L}}} | ||||
| \providecommand{\cM}{\ensuremath{\mathcal{M}}} | ||||
| \providecommand{\cN}{\ensuremath{\mathcal{N}}} | ||||
| \providecommand{\cO}{\ensuremath{\mathcal{O}}} | ||||
| \providecommand{\cP}{\ensuremath{\mathcal{P}}} | ||||
| \providecommand{\cQ}{\ensuremath{\mathcal{Q}}} | ||||
| \providecommand{\cR}{\ensuremath{\mathcal{R}}} | ||||
| \providecommand{\cS}{\ensuremath{\mathcal{S}}} | ||||
| \providecommand{\cT}{\ensuremath{\mathcal{T}}} | ||||
| \providecommand{\cU}{\ensuremath{\mathcal{U}}} | ||||
| \providecommand{\cV}{\ensuremath{\mathcal{V}}} | ||||
| \providecommand{\cW}{\ensuremath{\mathcal{W}}} | ||||
| \providecommand{\cX}{\ensuremath{\mathcal{X}}} | ||||
| \providecommand{\cY}{\ensuremath{\mathcal{Y}}} | ||||
| \providecommand{\cZ}{\ensuremath{\mathcal{Z}}} | ||||
| \providecommand{\cA}{\ensuremath{\mathcal{A}}\xspace} | ||||
| \providecommand{\cB}{\ensuremath{\mathcal{B}}\xspace} | ||||
| \providecommand{\cC}{\ensuremath{\mathcal{C}}\xspace} | ||||
| \providecommand{\cD}{\ensuremath{\mathcal{D}}\xspace} | ||||
| \providecommand{\cE}{\ensuremath{\mathcal{E}}\xspace} | ||||
| \providecommand{\cF}{\ensuremath{\mathcal{F}}\xspace} | ||||
| \providecommand{\cG}{\ensuremath{\mathcal{G}}\xspace} | ||||
| \providecommand{\cH}{\ensuremath{\mathcal{H}}\xspace} | ||||
| \providecommand{\cI}{\ensuremath{\mathcal{I}}\xspace} | ||||
| \providecommand{\cJ}{\ensuremath{\mathcal{J}}\xspace} | ||||
| \providecommand{\cK}{\ensuremath{\mathcal{K}}\xspace} | ||||
| \providecommand{\cL}{\ensuremath{\mathcal{L}}\xspace} | ||||
| \providecommand{\cM}{\ensuremath{\mathcal{M}}\xspace} | ||||
| \providecommand{\cN}{\ensuremath{\mathcal{N}}\xspace} | ||||
| \providecommand{\cO}{\ensuremath{\mathcal{O}}\xspace} | ||||
| \providecommand{\cP}{\ensuremath{\mathcal{P}}\xspace} | ||||
| \providecommand{\cQ}{\ensuremath{\mathcal{Q}}\xspace} | ||||
| \providecommand{\cR}{\ensuremath{\mathcal{R}}\xspace} | ||||
| \providecommand{\cS}{\ensuremath{\mathcal{S}}\xspace} | ||||
| \providecommand{\cT}{\ensuremath{\mathcal{T}}\xspace} | ||||
| \providecommand{\cU}{\ensuremath{\mathcal{U}}\xspace} | ||||
| \providecommand{\cV}{\ensuremath{\mathcal{V}}\xspace} | ||||
| \providecommand{\cW}{\ensuremath{\mathcal{W}}\xspace} | ||||
| \providecommand{\cX}{\ensuremath{\mathcal{X}}\xspace} | ||||
| \providecommand{\cY}{\ensuremath{\mathcal{Y}}\xspace} | ||||
| \providecommand{\cZ}{\ensuremath{\mathcal{Z}}\xspace} | ||||
|  | ||||
| \providecommand{\ccA}{\ensuremath{\mathscr{A}}} | ||||
| \providecommand{\ccB}{\ensuremath{\mathscr{B}}} | ||||
| \providecommand{\ccC}{\ensuremath{\mathscr{C}}} | ||||
| \providecommand{\ccD}{\ensuremath{\mathscr{D}}} | ||||
| \providecommand{\ccE}{\ensuremath{\mathscr{E}}} | ||||
| \providecommand{\ccF}{\ensuremath{\mathscr{F}}} | ||||
| \providecommand{\ccG}{\ensuremath{\mathscr{G}}} | ||||
| \providecommand{\ccH}{\ensuremath{\mathscr{H}}} | ||||
| \providecommand{\ccI}{\ensuremath{\mathscr{I}}} | ||||
| \providecommand{\ccJ}{\ensuremath{\mathscr{J}}} | ||||
| \providecommand{\ccK}{\ensuremath{\mathscr{K}}} | ||||
| \providecommand{\ccL}{\ensuremath{\mathscr{L}}} | ||||
| \providecommand{\ccM}{\ensuremath{\mathscr{M}}} | ||||
| \providecommand{\ccN}{\ensuremath{\mathscr{N}}} | ||||
| \providecommand{\ccO}{\ensuremath{\mathscr{O}}} | ||||
| \providecommand{\ccP}{\ensuremath{\mathscr{P}}} | ||||
| \providecommand{\ccQ}{\ensuremath{\mathscr{Q}}} | ||||
| \providecommand{\ccR}{\ensuremath{\mathscr{R}}} | ||||
| \providecommand{\ccS}{\ensuremath{\mathscr{S}}} | ||||
| \providecommand{\ccT}{\ensuremath{\mathscr{T}}} | ||||
| \providecommand{\ccU}{\ensuremath{\mathscr{U}}} | ||||
| \providecommand{\ccV}{\ensuremath{\mathscr{V}}} | ||||
| \providecommand{\ccW}{\ensuremath{\mathscr{W}}} | ||||
| \providecommand{\ccX}{\ensuremath{\mathscr{X}}} | ||||
| \providecommand{\ccY}{\ensuremath{\mathscr{Y}}} | ||||
| \providecommand{\ccZ}{\ensuremath{\mathscr{Z}}} | ||||
| \providecommand{\ccA}{\ensuremath{\mathscr{A}}\xspace} | ||||
| \providecommand{\ccB}{\ensuremath{\mathscr{B}}\xspace} | ||||
| \providecommand{\ccC}{\ensuremath{\mathscr{C}}\xspace} | ||||
| \providecommand{\ccD}{\ensuremath{\mathscr{D}}\xspace} | ||||
| \providecommand{\ccE}{\ensuremath{\mathscr{E}}\xspace} | ||||
| \providecommand{\ccF}{\ensuremath{\mathscr{F}}\xspace} | ||||
| \providecommand{\ccG}{\ensuremath{\mathscr{G}}\xspace} | ||||
| \providecommand{\ccH}{\ensuremath{\mathscr{H}}\xspace} | ||||
| \providecommand{\ccI}{\ensuremath{\mathscr{I}}\xspace} | ||||
| \providecommand{\ccJ}{\ensuremath{\mathscr{J}}\xspace} | ||||
| \providecommand{\ccK}{\ensuremath{\mathscr{K}}\xspace} | ||||
| \providecommand{\ccL}{\ensuremath{\mathscr{L}}\xspace} | ||||
| \providecommand{\ccM}{\ensuremath{\mathscr{M}}\xspace} | ||||
| \providecommand{\ccN}{\ensuremath{\mathscr{N}}\xspace} | ||||
| \providecommand{\ccO}{\ensuremath{\mathscr{O}}\xspace} | ||||
| \providecommand{\ccP}{\ensuremath{\mathscr{P}}\xspace} | ||||
| \providecommand{\ccQ}{\ensuremath{\mathscr{Q}}\xspace} | ||||
| \providecommand{\ccR}{\ensuremath{\mathscr{R}}\xspace} | ||||
| \providecommand{\ccS}{\ensuremath{\mathscr{S}}\xspace} | ||||
| \providecommand{\ccT}{\ensuremath{\mathscr{T}}\xspace} | ||||
| \providecommand{\ccU}{\ensuremath{\mathscr{U}}\xspace} | ||||
| \providecommand{\ccV}{\ensuremath{\mathscr{V}}\xspace} | ||||
| \providecommand{\ccW}{\ensuremath{\mathscr{W}}\xspace} | ||||
| \providecommand{\ccX}{\ensuremath{\mathscr{X}}\xspace} | ||||
| \providecommand{\ccY}{\ensuremath{\mathscr{Y}}\xspace} | ||||
| \providecommand{\ccZ}{\ensuremath{\mathscr{Z}}\xspace} | ||||
|  | ||||
| %---- roman letters | ||||
|  | ||||
| \providecommand{\rA}{\ensuremath{\mathrm{A}}} | ||||
| \providecommand{\rB}{\ensuremath{\mathrm{B}}} | ||||
| \providecommand{\rC}{\ensuremath{\mathrm{C}}} | ||||
| \providecommand{\rD}{\ensuremath{\mathrm{D}}} | ||||
| \providecommand{\rE}{\ensuremath{\mathrm{E}}} | ||||
| \providecommand{\rF}{\ensuremath{\mathrm{F}}} | ||||
| \providecommand{\rG}{\ensuremath{\mathrm{G}}} | ||||
| \providecommand{\rH}{\ensuremath{\mathrm{H}}} | ||||
| \providecommand{\rI}{\ensuremath{\mathrm{I}}} | ||||
| \providecommand{\rJ}{\ensuremath{\mathrm{J}}} | ||||
| \providecommand{\rK}{\ensuremath{\mathrm{K}}} | ||||
| \providecommand{\rL}{\ensuremath{\mathrm{L}}} | ||||
| \providecommand{\rM}{\ensuremath{\mathrm{M}}} | ||||
| \providecommand{\rN}{\ensuremath{\mathrm{N}}} | ||||
| \providecommand{\rO}{\ensuremath{\mathrm{O}}} | ||||
| \providecommand{\rP}{\ensuremath{\mathrm{P}}} | ||||
| \providecommand{\rQ}{\ensuremath{\mathrm{Q}}} | ||||
| \providecommand{\rR}{\ensuremath{\mathrm{R}}} | ||||
| \providecommand{\rS}{\ensuremath{\mathrm{S}}} | ||||
| \providecommand{\rT}{\ensuremath{\mathrm{T}}} | ||||
| \providecommand{\rU}{\ensuremath{\mathrm{U}}} | ||||
| \providecommand{\rV}{\ensuremath{\mathrm{V}}} | ||||
| \providecommand{\rW}{\ensuremath{\mathrm{W}}} | ||||
| \providecommand{\rX}{\ensuremath{\mathrm{X}}} | ||||
| \providecommand{\rY}{\ensuremath{\mathrm{Y}}} | ||||
| \providecommand{\rZ}{\ensuremath{\mathrm{Z}}} | ||||
| \providecommand{\rA}{\ensuremath{\mathrm{A}}\xspace} | ||||
| \providecommand{\rB}{\ensuremath{\mathrm{B}}\xspace} | ||||
| \providecommand{\rC}{\ensuremath{\mathrm{C}}\xspace} | ||||
| \providecommand{\rD}{\ensuremath{\mathrm{D}}\xspace} | ||||
| \providecommand{\rE}{\ensuremath{\mathrm{E}}\xspace} | ||||
| \providecommand{\rF}{\ensuremath{\mathrm{F}}\xspace} | ||||
| \providecommand{\rG}{\ensuremath{\mathrm{G}}\xspace} | ||||
| \providecommand{\rH}{\ensuremath{\mathrm{H}}\xspace} | ||||
| \providecommand{\rI}{\ensuremath{\mathrm{I}}\xspace} | ||||
| \providecommand{\rJ}{\ensuremath{\mathrm{J}}\xspace} | ||||
| \providecommand{\rK}{\ensuremath{\mathrm{K}}\xspace} | ||||
| \providecommand{\rL}{\ensuremath{\mathrm{L}}\xspace} | ||||
| \providecommand{\rM}{\ensuremath{\mathrm{M}}\xspace} | ||||
| \providecommand{\rN}{\ensuremath{\mathrm{N}}\xspace} | ||||
| \providecommand{\rO}{\ensuremath{\mathrm{O}}\xspace} | ||||
| \providecommand{\rP}{\ensuremath{\mathrm{P}}\xspace} | ||||
| \providecommand{\rQ}{\ensuremath{\mathrm{Q}}\xspace} | ||||
| \providecommand{\rR}{\ensuremath{\mathrm{R}}\xspace} | ||||
| \providecommand{\rS}{\ensuremath{\mathrm{S}}\xspace} | ||||
| \providecommand{\rT}{\ensuremath{\mathrm{T}}\xspace} | ||||
| \providecommand{\rU}{\ensuremath{\mathrm{U}}\xspace} | ||||
| \providecommand{\rV}{\ensuremath{\mathrm{V}}\xspace} | ||||
| \providecommand{\rW}{\ensuremath{\mathrm{W}}\xspace} | ||||
| \providecommand{\rX}{\ensuremath{\mathrm{X}}\xspace} | ||||
| \providecommand{\rY}{\ensuremath{\mathrm{Y}}\xspace} | ||||
| \providecommand{\rZ}{\ensuremath{\mathrm{Z}}\xspace} | ||||
|  | ||||
| %---- frak letters | ||||
|  | ||||
| \providecommand{\fA}{\ensuremath{\mathfrak{A}}} | ||||
| \providecommand{\fB}{\ensuremath{\mathfrak{B}}} | ||||
| \providecommand{\fC}{\ensuremath{\mathfrak{C}}} | ||||
| \providecommand{\fD}{\ensuremath{\mathfrak{D}}} | ||||
| \providecommand{\fE}{\ensuremath{\mathfrak{E}}} | ||||
| \providecommand{\fF}{\ensuremath{\mathfrak{F}}} | ||||
| \providecommand{\fG}{\ensuremath{\mathfrak{G}}} | ||||
| \providecommand{\fH}{\ensuremath{\mathfrak{H}}} | ||||
| \providecommand{\fI}{\ensuremath{\mathfrak{I}}} | ||||
| \providecommand{\fJ}{\ensuremath{\mathfrak{J}}} | ||||
| \providecommand{\fK}{\ensuremath{\mathfrak{K}}} | ||||
| \providecommand{\fL}{\ensuremath{\mathfrak{L}}} | ||||
| \providecommand{\fM}{\ensuremath{\mathfrak{M}}} | ||||
| \providecommand{\fN}{\ensuremath{\mathfrak{N}}} | ||||
| \providecommand{\fO}{\ensuremath{\mathfrak{O}}} | ||||
| \providecommand{\fP}{\ensuremath{\mathfrak{P}}} | ||||
| \providecommand{\fQ}{\ensuremath{\mathfrak{Q}}} | ||||
| \providecommand{\fR}{\ensuremath{\mathfrak{R}}} | ||||
| \providecommand{\fS}{\ensuremath{\mathfrak{S}}} | ||||
| \providecommand{\fT}{\ensuremath{\mathfrak{T}}} | ||||
| \providecommand{\fU}{\ensuremath{\mathfrak{U}}} | ||||
| \providecommand{\fV}{\ensuremath{\mathfrak{V}}} | ||||
| \providecommand{\fW}{\ensuremath{\mathfrak{W}}} | ||||
| \providecommand{\fX}{\ensuremath{\mathfrak{X}}} | ||||
| \providecommand{\fY}{\ensuremath{\mathfrak{Y}}} | ||||
| \providecommand{\fZ}{\ensuremath{\mathfrak{Z}}} | ||||
| \providecommand{\fA}{\ensuremath{\mathfrak{A}}\xspace} | ||||
| \providecommand{\fB}{\ensuremath{\mathfrak{B}}\xspace} | ||||
| \providecommand{\fC}{\ensuremath{\mathfrak{C}}\xspace} | ||||
| \providecommand{\fD}{\ensuremath{\mathfrak{D}}\xspace} | ||||
| \providecommand{\fE}{\ensuremath{\mathfrak{E}}\xspace} | ||||
| \providecommand{\fF}{\ensuremath{\mathfrak{F}}\xspace} | ||||
| \providecommand{\fG}{\ensuremath{\mathfrak{G}}\xspace} | ||||
| \providecommand{\fH}{\ensuremath{\mathfrak{H}}\xspace} | ||||
| \providecommand{\fI}{\ensuremath{\mathfrak{I}}\xspace} | ||||
| \providecommand{\fJ}{\ensuremath{\mathfrak{J}}\xspace} | ||||
| \providecommand{\fK}{\ensuremath{\mathfrak{K}}\xspace} | ||||
| \providecommand{\fL}{\ensuremath{\mathfrak{L}}\xspace} | ||||
| \providecommand{\fM}{\ensuremath{\mathfrak{M}}\xspace} | ||||
| \providecommand{\fN}{\ensuremath{\mathfrak{N}}\xspace} | ||||
| \providecommand{\fO}{\ensuremath{\mathfrak{O}}\xspace} | ||||
| \providecommand{\fP}{\ensuremath{\mathfrak{P}}\xspace} | ||||
| \providecommand{\fQ}{\ensuremath{\mathfrak{Q}}\xspace} | ||||
| \providecommand{\fR}{\ensuremath{\mathfrak{R}}\xspace} | ||||
| \providecommand{\fS}{\ensuremath{\mathfrak{S}}\xspace} | ||||
| \providecommand{\fT}{\ensuremath{\mathfrak{T}}\xspace} | ||||
| \providecommand{\fU}{\ensuremath{\mathfrak{U}}\xspace} | ||||
| \providecommand{\fV}{\ensuremath{\mathfrak{V}}\xspace} | ||||
| \providecommand{\fW}{\ensuremath{\mathfrak{W}}\xspace} | ||||
| \providecommand{\fX}{\ensuremath{\mathfrak{X}}\xspace} | ||||
| \providecommand{\fY}{\ensuremath{\mathfrak{Y}}\xspace} | ||||
| \providecommand{\fZ}{\ensuremath{\mathfrak{Z}}\xspace} | ||||
|  | ||||
| %---- groups | ||||
|  | ||||
| \providecommand{\O}[1]{\ensuremath{\mathrm{O}(#1)}} | ||||
| \providecommand{\SO}[1]{\ensuremath{\mathrm{SO}(#1)}} | ||||
| \providecommand{\U}[1]{\ensuremath{\mathrm{U}(#1)}} | ||||
| \providecommand{\SU}[1]{\ensuremath{\mathrm{SU}(#1)}} | ||||
| \providecommand{\SL}[2]{\ensuremath{\mathrm{SL}_{#1}(#2)}} | ||||
| \providecommand{\GL}[2]{\ensuremath{\mathrm{GL}_{#1}(#2)}} | ||||
| \providecommand{\OO}[1]{\ensuremath{\mathrm{O}(#1)}\xspace} | ||||
| \providecommand{\SO}[1]{\ensuremath{\mathrm{SO}(#1)}\xspace} | ||||
| \providecommand{\U}[1]{\ensuremath{\mathrm{U}(#1)}\xspace} | ||||
| \providecommand{\SU}[1]{\ensuremath{\mathrm{SU}(#1)}\xspace} | ||||
| \providecommand{\SL}[2]{\ensuremath{\mathrm{SL}_{#1}(#2)}\xspace} | ||||
| \providecommand{\GL}[2]{\ensuremath{\mathrm{GL}_{#1}(#2)}\xspace} | ||||
|  | ||||
| %---- algebras | ||||
| \providecommand{\liebraket}[2]{\ensuremath{\left[ #1,\, #2 \right]}} | ||||
|  | ||||
| %---- inline partial derivatives (use $\ipd{s}$ for $\partial_s$) | ||||
|  | ||||
|   | ||||
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