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Citation

BibTex format

@article{Beccaria:2026:10.1007/JHEP03(2026)257,
author = {Beccaria, M and Kurlyand, SA and Tseytlin, AA},
doi = {10.1007/JHEP03(2026)257},
journal = {Journal of High Energy Physics},
title = {2-loop free energy of M2 brane in AdS7 × S4 and surface defect anomaly in (2,0) theory},
url = {http://dx.doi.org/10.1007/JHEP03(2026)257},
volume = {2026},
year = {2026}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 12-BPS surface operator viewed as a conformal defect in rank N 6d (2,0) theory is expected to have a holographic description in terms of a probe M2 brane wrapped on AdS<inf>3</inf> in the AdS<inf>7</inf> × S<sup>4</sup> M-theory background. The M2 brane has the effective tension T<inf>2</inf> = 2πN so that the large tension expansion corresponds to the 1/N expansion. The value of the defect conformal anomaly coefficient in SU(N) (2,0) theory was previously argued to be b= 12N – 9 – 3N<sup>−1</sup>. Semiclassically quantizing M2 brane it was found in arXiv:2004.04562 that the first two terms in b are indeed reproduced by the classical and 1-loop corrections to the M2 free energy. Here we address the question if the 2-loop term in the M2 brane free energy reproduces the N<sup>−1</sup> term in b. Remarkably, despite the general non-renormalizability of the standard BST M2 brane action we find that the 2-loop correction to the free energy of the AdS<inf>3</inf> M2 brane in AdS<inf>7</inf> × S<sup>4</sup> is UV finite (modulo power divergences that can be removed by an analytic regularization). Moreover, the 2-loop correction vanishes in the dimensional and ζ-function regularizations. This result appears to be in disagreement with the non-vanishing of the coefficient of the N<sup>−1</sup> term in the expected expression for the anomaly coefficient b. We discuss possible resolutions of this puzzle, including the one that the M2 brane probe computation may be capturing the surface defect anomaly in the U(N) rather than the SU(N) boundary 6d CFT.
AU  - Beccaria,M
AU  - Kurlyand,SA
AU  - Tseytlin,AA
DO  - 10.1007/JHEP03(2026)257
PY  - 2026///
TI  - 2-loop free energy of M2 brane in AdS7 × S4 and surface defect anomaly in (2,0) theory
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP03(2026)257
VL  - 2026
ER  -
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