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M5 Instantons in ABJM
Abstract
We study the existence of supersymmetric M5-brane instantons in asymptotically AdS4 × S7/Zk geometries of M-theory, dual to the ABJM theory. The supersymmetric embeddings of these instantons are determined by the M5-brane κ-symmetry, which forces them to localise to the equivariant fixed points in the asymptotically AdS4 geometry, and wrap $(S^3\times S^3)/\mathbf{Z}_k $. At the quantum level we find that the one-loop partition function of these instantons vanishes, suggesting that the bulk partition function is instead to be expanded in terms of supergravity modes and M2-brane instantons, in line with known results for the S3 partition function of the dual ABJM theory.
Related
BibTeX
@misc{lin2026instantons,
title = {{M5 Instantons in ABJM}},
author = {Jieming Lin and Jesse van Muiden and Zihan Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09041},
eprint = {2609.09041},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09041},
}
RIS
TY - UNPB
TI - M5 Instantons in ABJM
AU - Jieming Lin
AU - Jesse van Muiden
AU - Zihan Wang
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09041
UR - https://arxiv.org/abs/2609.09041
AB - We study the existence of supersymmetric M5-brane instantons in asymptotically AdS_4 × S^7/Z_k geometries of M-theory, dual to the ABJM theory. The supersymmetric embeddings of these instantons are determined by the M5-brane κ-symmetry, which forces them to localise to the equivariant fixed points in the asymptotically AdS_4 geometry, and wrap $(S^3\times S^3)/\mathbf{Z}_k $. At the quantum level we find that the one-loop partition function of these instantons vanishes, suggesting that the bulk partition function is instead to be expanded in terms of supergravity modes and M2-brane instantons, in line with known results for the S^3 partition function of the dual ABJM theory.
ER -