Inspired by 5d supersymmetric Yang–Mills theories placed on the compact space S 5 , we propose an intriguing algebraic construction for the q-Virasoro algebra. We show that, when multiple q-Virasoro “chiral” sectors have to be fused together, a natural SL (3 , Z) structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a q-Virasoro model, resembling ordinary Liouville theory.
q-Virasoro Modular Triple
Nieri F.;
2019-01-01
Abstract
Inspired by 5d supersymmetric Yang–Mills theories placed on the compact space S 5 , we propose an intriguing algebraic construction for the q-Virasoro algebra. We show that, when multiple q-Virasoro “chiral” sectors have to be fused together, a natural SL (3 , Z) structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a q-Virasoro model, resembling ordinary Liouville theory.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
