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

verfasst von

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.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

University of Salento
INFN - sezione di Lecce
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
Imperial College London

Typ

Artikel

Journal

Journal of high energy physics

Band

2025

Anzahl der Seiten

56

ISSN

1029-8479

Publikationsdatum

17.01.2025

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Elektronische Version(en)

https://doi.org/10.1007/JHEP01(2025)088 (Zugang: Offen)