Bootstrapping the S5 partition function
Department of Physics and Astronomy, Uppsala University, Box 516, SE-75120 Uppsala, Sweden
2 School of Physics, Sun Yat-sen university, Guangzhou, Guangdong, China
Published online: 31 October 2018
We consider U(N) SQCD on S5 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 S5 partition function.
© The Authors, published by EDP Sciences, 2018
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