2023/12/04 by Matteo Beccaria, Beccaria, Matteo, A.A. Tseytlin +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2312.01917
openalex publication_date 2023/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It was shown in arXiv:2309.10786 that the leading non-perturbative contribution to the large N expansion of superconformal index of (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× S2 in a twisted version of AdS7× 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) × 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 × S5 in a twisted version of AdS4× 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.