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arXiv · 1807.11900

Bootstrapping the $S^5$ partition function

Fabrizio Nieri·Yiwen Pan·Maxim Zabzine
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Abstract

We consider $U(N)$ SQCD on $S^5$ and propose a Higgs branch-like expression for its partition function. We support the result by arguing that the knowledge of certain BPS codimension 2 and 4 defects arising from Higgsing is enough to reconstruct the bulk partition function, and that the defect partition functions satisfy a set of non-perturbative Schwinger-Dyson equations. We show that the result is consistent with, and naturally come from, the BPS/CFT perspective. In this language, the defect partition functions are identified with free boson correlators of the $q$-Virasoro modular triple, and the constraint equations with Ward identities satisfied by the corresponding Dotsenko-Fateev $q$-conformal blocks, providing a natural basis to expand the $S^5$ partition function.

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Fabrizio Nieri, Yiwen Pan, Maxim Zabzine. 2018-07-31. Bootstrapping the $S^5$ partition function. https://doi.org/10.1051/epjconf/201819106005

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