Large N expansion of superconformal index of k=1 ABJM theory and semiclassical M5 brane partition function

被引：9

作者：

Beccaria, M. ^{[1
,2
]}

Tseytlin, A. A. ^{[3
,4
,5
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Arnesano, I-73100 Lecce, Italy

[2] INFN, Sez Lecce, Via Arnesano, I-73100 Lecce, Italy

[3] Imperial Coll London, Blackett Lab, London SW7 2AZ, England

[4] Moscow Univ, Inst Theoret & Math Phys ITMP, Moscow, Russia

[5] Lebedev Inst, Moscow, Russia

来源：

NUCLEAR PHYSICS B | 2024年 / 1001卷

关键词：

STATISTICAL-MECHANICS; COVARIANT ACTION; TENSOR; SUPERGRAVITY; OPERATOR; GRAVITY; 5-BRANE; D=11;

D O I：

10.1016/j.nuclphysb.2024.116507

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

It was shown in arXiv :2309 .10786 that the leading non-perturbative contribution to the large N expansion of the superconformal index of the (2,0) 6d theory (which describes low -energy dynamics of N coincident M5 branes) is reproduced by the semiclassical partition function of quantum M2 brane wrapped on S1 x S2 in a twisted version of AdS7 x S4 background. Here we demonstrate an analogous relation for the leading non-perturbative contribution to the large N expansion of the superconformal index of the N = 8 supersymmetric level -one U(N) x U(N) ABJM theory (which describes low -energy dynamics of N coincident M2 branes). The roles of M2 and M5 branes get effectively interchanged. Namely, the large N correction to the ABJM index is found to be given by the semiclassical partition function of quantum M5 brane wrapped on S1 x S5 in a twisted version of AdS4 x S7 background. This effectively confirms the suggestion for the "M5 brane index" made in arXiv :2007 .05213 on the basis of indirect superconformal algebra considerations.

引用

页数：25

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[71] Counting 1/8-BPS dual-giants [J].