Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
High Energy Physics - Theory
2009-10-30 v2
Abstract
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.
Cite
@article{arxiv.hep-th/9609130,
title = {Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter},
author = {A. Brandhuber and S. Stieberger},
journal= {arXiv preprint arXiv:hep-th/9609130},
year = {2009}
}
Comments
Some changes, final version to appear in IJMPA. 14 LaTex pages