Brandhuber, A.; Stieberger, S. Periods, coupling constants and modular functions in \(N=2\) SU(2) SYM with massive matter. (English) Zbl 0936.81043 Int. J. Mod. Phys. A 13, No. 8, 1329-1343 (1998). Summary: We determine the mass dependence of the coupling constant for \(N = 2\) SYM with \(N_f = 1, 2, 3\) and 4 flavors. 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. Cited in 5 Documents MSC: 81T60 Supersymmetric field theories in quantum mechanics 81T13 Yang-Mills and other gauge theories in quantum field theory 14H45 Special algebraic curves and curves of low genus 14D05 Structure of families (Picard-Lefschetz, monodromy, etc.) Keywords:moduli space; periods; mass dependence; coupling constant; Schwarzian triangle function; modular functions; monodromies PDFBibTeX XMLCite \textit{A. Brandhuber} and \textit{S. Stieberger}, Int. J. Mod. Phys. A 13, No. 8, 1329--1343 (1998; Zbl 0936.81043) Full Text: DOI arXiv References: [1] DOI: 10.1016/0550-3213(94)90124-4 · Zbl 0996.81510 · doi:10.1016/0550-3213(94)90124-4 [2] DOI: 10.1016/0550-3213(94)90214-3 · Zbl 1020.81911 · doi:10.1016/0550-3213(94)90214-3 [3] DOI: 10.1016/0550-3213(95)00281-V · Zbl 1009.81572 · doi:10.1016/0550-3213(95)00281-V [4] DOI: 10.1016/0550-3213(95)00671-0 · Zbl 1004.81557 · doi:10.1016/0550-3213(95)00671-0 [5] DOI: 10.1016/0370-2693(95)01310-5 · doi:10.1016/0370-2693(95)01310-5 [6] DOI: 10.1016/0550-3213(96)00150-2 · Zbl 1003.81564 · doi:10.1016/0550-3213(96)00150-2 [7] DOI: 10.1142/S0217751X96001000 · Zbl 1044.81739 · doi:10.1142/S0217751X96001000 [8] DOI: 10.1142/S0217751X92002817 · Zbl 0954.81543 · doi:10.1142/S0217751X92002817 [9] DOI: 10.1016/0370-2693(95)01399-7 · doi:10.1016/0370-2693(95)01399-7 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.