Basic hypergeometry of supersymmetric dualities

Gahramanov, Ilmar; Rosengren, Hjalmar

doi:10.1016/j.nuclphysb.2016.10.004

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Basic hypergeometry of supersymmetric dualities

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Gahramanov, Ilmar
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1606.08185.pdf
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Citation

Gahramanov, I., & Rosengren, H. (2016). Basic hypergeometry of supersymmetric dualities. Nuclear Physics B, 913, 747-768. doi:10.1016/j.nuclphysb.2016.10.004.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-5E15-5

Abstract

We introduce several new identities combining basic hypergeometric sums and integrals. Such identities appear in the context of superconformal index computations for three-dimensional supersymmetric dual theories. We give both analytic proofs and physical interpretations of the presented identities.