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Main Authors: Gautason, Fridrik Freyr, van Muiden, Jesse
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.16597
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author Gautason, Fridrik Freyr
van Muiden, Jesse
author_facet Gautason, Fridrik Freyr
van Muiden, Jesse
contents We study quantum M2-branes in holographic backgrounds and show that their moduli spaces of zero-modes are localised according to an R-symmetry Killing vector. We discuss the relation with recent results in the context of equivariant localisation in gauged supergravity and argue its origin within M-theory path integrals expanded in saddle points over M2-branes. We argue that the M2-brane partition function, including its non-perturbative corrections, should be compared to the field theory grand canonical partition function. Our results extend recent observations in the context of the giant graviton expansion of superconformal indices to generic supersymmetric AdS boundary conditions. As a byproduct we predict non-perturbative corrections to a variety of supersymmetric observables of the ABJM theory.
format Preprint
id arxiv_https___arxiv_org_abs_2503_16597
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Localisation of the M2-brane
Gautason, Fridrik Freyr
van Muiden, Jesse
High Energy Physics - Theory
We study quantum M2-branes in holographic backgrounds and show that their moduli spaces of zero-modes are localised according to an R-symmetry Killing vector. We discuss the relation with recent results in the context of equivariant localisation in gauged supergravity and argue its origin within M-theory path integrals expanded in saddle points over M2-branes. We argue that the M2-brane partition function, including its non-perturbative corrections, should be compared to the field theory grand canonical partition function. Our results extend recent observations in the context of the giant graviton expansion of superconformal indices to generic supersymmetric AdS boundary conditions. As a byproduct we predict non-perturbative corrections to a variety of supersymmetric observables of the ABJM theory.
title Localisation of the M2-brane
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.16597