Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter

We determine the mass dependence of the coupling constant for N=2 SYM with $N_f=1,2,3$ and $4$ flavours. All these cases can be unified in one analytic expression, given by a Schwarzian triangle function. Moreover we work out the connection to modular functions which enables us to give explicit form...

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Detalles Bibliográficos
Autores principales: Brandhuber, A., Stieberger, S.
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1142/S0217751X98000627
http://cds.cern.ch/record/310989
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author Brandhuber, A.
Stieberger, S.
author_facet Brandhuber, A.
Stieberger, S.
author_sort Brandhuber, A.
collection CERN
description We determine the mass dependence of the coupling constant for N=2 SYM with $N_f=1,2,3$ and $4$ flavours. All these cases can be unified in one analytic expression, given by a Schwarzian triangle function. Moreover we work out the connection to modular functions which enables us to give explicit formulas for the periods. Using the form of the $J$--functions we are able to determine in an elegant way the couplings and monodromies at the superconformal points.
id cern-310989
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3109892023-03-12T05:48:05Zdoi:10.1142/S0217751X98000627http://cds.cern.ch/record/310989engBrandhuber, A.Stieberger, S.Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive MatterParticle Physics - TheoryWe determine the mass dependence of the coupling constant for N=2 SYM with $N_f=1,2,3$ and $4$ flavours. All these cases can be unified in one analytic expression, given by a Schwarzian triangle function. Moreover we work out the connection to modular functions which enables us to give explicit formulas for the periods. Using the form of the $J$--functions we are able to determine in an elegant way the couplings and monodromies at the superconformal points.We determine the mass dependence of the coupling constant for N=2 SYM with N_f=1,2,3 and 4 flavours. All these cases can be unified in one analytic expression, given by a Schwarzian triangle function. Moreover we work out the connection to modular functions which enables us to give explicit formulas for the periods. Using the form of the J-functions we are able to determine in an elegant way the couplings and monodromies at the superconformal points.hep-th/9609130CERN-TH-96-260NEIP-96-006CERN-TH-96-260NEIP-96-006oai:cds.cern.ch:3109891996-09-17
spellingShingle Particle Physics - Theory
Brandhuber, A.
Stieberger, S.
Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
title Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
title_full Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
title_fullStr Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
title_full_unstemmed Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
title_short Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
title_sort periods, coupling constants and modular functions in n=2 su(2) sym with massive matter
topic Particle Physics - Theory
url https://dx.doi.org/10.1142/S0217751X98000627
http://cds.cern.ch/record/310989
work_keys_str_mv AT brandhubera periodscouplingconstantsandmodularfunctionsinn2su2symwithmassivematter
AT stiebergers periodscouplingconstantsandmodularfunctionsinn2su2symwithmassivematter

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