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.
Factorization of the 3d superconformal index
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abstract
We prove that 3d superconformal index for general $\mathcal N=2$ U(N) gauge group with fundamentals and anti-fundmentals with/without Chern-Simons terms is factorized into vortex and anti-vortex partition function. We show that for simple cases, 3d vortex partition function coincides with a suitable topological open string partition function. We provide much more elegant derivation at the index level for $\mathcal N=2$ Seiberg-like dualities of unitary gauge groups with fundamantal matters and $\mathcal N=4$ mirror symmetry
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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.