## Abstract

The superconformal index Z of the 6d (2,0) theory on S^{5}×S^{1} (which is related to the localization partition function of 5d SYM on S^{5}) should be captured at large N by the quantum M2 brane theory in the dual M-theory background. Generalizing the type IIA string theory limit of this relation discussed in arXiv:2111.15493 and arXiv:2304.12340, we consider semiclassically quantized M2 branes in a half-supersymmetric 11d background which is a twisted product of thermal AdS_{7} and S^{4}. We show that the leading non-perturbative term at large N is reproduced precisely by the 1-loop partition function of an “instanton” M2 brane wrapped on S^{1}×S^{2} with S^{2}⊂S^{4}. Similarly, the (2,0) theory analog of the BPS Wilson loop expectation value is reproduced by the partition function of a “defect” M2 brane wrapped on thermal AdS⊂3 AdS_{7}. We comment on a curious analogy of these results with similar computations in arXiv:2303.15207 and arXiv:2307.14112 of the partition function of quantum M2 branes in AdS×4S^{7}/Z_{k} which reproduced the corresponding localization expressions in the ABJM 3d gauge theory.

Original language | English (US) |
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Article number | 116400 |

Journal | Nuclear Physics B |

Volume | 998 |

DOIs | |

State | Published - Jan 2024 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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