Derives a new basic hypergeometric beta integral identity from supersymmetric partition function equality on RP² × S¹ that does not arise as a degeneration of the lens elliptic beta integral.
Integral pentagon relations for 3d superconformal indices
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abstract
The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals. Some of these integral identities have the form of the pentagon identity which can be interpreted as the 2-3 Pachner move for triangulated 3-manifolds.
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New Beta Integral from Supersymmetric Gauge Theory on Projective Space
Derives a new basic hypergeometric beta integral identity from supersymmetric partition function equality on RP² × S¹ that does not arise as a degeneration of the lens elliptic beta integral.