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arXiv · 2410.21376

Spherical Branes and the BMN Matrix Quantum Mechanics

Nikolay Bobev·Pieter Bomans·Fridrik Freyr Gautason
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Abstract

We study the maximally supersymmetric Yang-Mills theory on $S^d$ using supersymmetric localisation and holography. We argue that the analytic continuation in dimension to $d=1$ yields a Euclidean version of the BMN matrix quantum mechanics. This system can be analysed at large $N$ using supersymmetric localisation and leads to explicit results for the free energy on $S^d$ and the expectation value of supersymmetric Wilson loops. We show how these results can be reproduced at strong gauge coupling using holography by employing spherical D-brane solutions. We construct these solutions for any value of $d$ using an effective supergravity description and pay particular attention to the subtleties arising in the $d\to1$ limit. Our results have implications for the BMN matrix quantum mechanics and the physics of circular D0-branes.

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Nikolay Bobev, Pieter Bomans, Fridrik Freyr Gautason. 2024-10-28. Spherical Branes and the BMN Matrix Quantum Mechanics. https://arxiv.org/abs/2410.21376

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