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Instantons on the 5-sphere and M5-branes
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Instantons on the 5-sphere and M5-branes
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We calculate the partition functions of supersymmetric gauge theories on S^5, which acquire non-perturbative contributions from instanton loops wrapping its Hopf fiber. The instantons on the CP^2 base equivariantly localize to 3 fixed points of SU(3) Cartans. Using our results, we study the index of the 6d (2,0) theory. We first study the partition functions of maximal SYM with AD(E) gauge groups, which agree with the gravity dual indices on AdS_7 in the large N limits. We also show that the most general partition function of the Abelian theory agrees with the index for a free 6d tensor supermultiplet. We explain possible ambiguities in our 5d approach, role of maximal SUSY, and the Wilson loops on S^5 dual to M2-brane Wilson surfaces in AdS_7.
Forward citations
Cited by 2 Pith papers
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Towards OSV in AdS
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
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From Weyl Anomaly to Defect Supersymmetric R\'enyi Entropy and Casimir Energy
In 6D (2,0) theories, defect supersymmetric Rényi entropy contribution is linear in 1/n and equals a constant times (2b - d2); Casimir energy contribution equals -d2 (up to constant) in the chiral algebra limit.
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