Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter
A. Brandhuber, S. Stieberger
Abstract
We determine the mass dependence of the coupling constant for N=2 SYM with Nf=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.
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