Semiclassical quantization of M5 brane probes wrapped on AdS₃× S³ and defect anomalies

authored by

M. Beccaria, L. Casarin, A. A. Tseytlin

Abstract

We consider two supersymmetric M5 brane probe solutions in AdS₇ × S⁴ and one in AdS₄ × S⁷ that all have the AdS₃ × S³ world-volume geometry. The values of the classical action of the first two M5 probes (with S³ in AdS₇ or in S⁴) are related to the leading N² parts in the anomaly b-coefficient in the (2,0) theory corresponding to a spherical surface defect in symmetric or antisymmetric SU(N) representations. We present a detailed computation of the corresponding one-loop M5 brane partition functions finding that they vanish (in a particular regularization). This implies the vanishing of the order N⁰ part in the b-anomaly coefficients, in agreement with earlier predictions for their exact values. It remains, however, a puzzle of how to reproduce the non-vanishing order N terms in these coefficients within the semiclassical M5-brane probe setup.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

University of Salento
INFN - sezione di Lecce
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Imperial College London

Type

Article

Journal

Journal of high energy physics

Volume

2025

No. of pages

56

ISSN

1029-8479

Publication date

17.01.2025

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Electronic version(s)

https://doi.org/10.1007/JHEP01(2025)088 (Access: Open)