Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums
Ori J. Ganor,
Hao-Yu Sun,
Nesty R. Torres-Chicon
Abstract:We study the supersymmetric partition function of a 2d linear σ-model whose target space is a torus with a complex structure that varies along one worldsheet direction and a Kähler modulus that varies along the other. This setup is inspired by the dimensional reduction of a Janus configuration of 4d N = 4 U (1) Super-Yang-Mills theory compactified on a mapping torus (T 2 fibered over S 1 ) times a circle with an SL(2, Z) duality wall inserted on S 1 , but our setup has minimal supersymmetry. The partition func… Show more
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