The conformal anomaly of M5-branes

Maxfield, Travis; Sethi, Savdeep

doi:10.1007/jhep06(2012)075

Cited by 43 publications

(105 citation statements)

References 70 publications

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“…Once these off-shell supersymmetric actions are available, the relation between the anomalies of the six-dimensional theory and the r 1 → 0 asymptotics of the partition functions could be readily generalized to all the possible supersymmetric backgrounds of the type M 5 × S 1 . Analogously to the four-dimensional case, for 6d superconformal theories one could rewrite some of the anomalies above in terms of the conformal anomalies (see [63] for a recent discussion in the context of (2, 0) theories).…”

Section: Jhep12(2014)031mentioning

confidence: 99%

Cardy formulae for SUSY theories in d = 4 and d = 6

Pietro

Komargodski

2014

J. High Energ. Phys.

165

358

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We consider supersymmetric theories on a space with compact space-like slices. One can count BPS representations weighted by (−1) F , or, equivalently, study supersymmetric partition functions by compactifying the time direction. A special case of this general construction corresponds to the counting of short representations of the superconformal group. We show that in four-dimensional N = 1 theories the "high temperature" asymptotics of such counting problems is fixed by the anomalies of the theory. Notably, the combination a − c of the trace anomalies plays a crucial role. We also propose similar formulae for six-dimensional (1, 0) theories.

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Section: Jhep12(2014)031mentioning

confidence: 99%

Cardy formulae for SUSY theories in d = 4 and d = 6

Pietro

Komargodski

2014

J. High Energ. Phys.

165

358

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“…at the point q = 1 reproduces the known conformal anomaly on S 6 [14,8,9] for any value of x, a(1) = 7 12 r + 4 3 dh ∨…”

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confidence: 57%

“…When q = 1 we have the undeformed S 6 and we reproduce the known conformal anomaly [8,9,14,15] a(1) = r…”

Section: Introductionmentioning

confidence: 72%

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Nonabelian M5-brane on S6q

Bak

Gustavsson

2019

J. High Energ. Phys.

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We compute the conformal anomaly of a nonabelian M5 brane on S 1 q ×H 5 in the large N limit by using the gravity dual of a black hole. We also obtain a general formula for this conformal anomaly for any gauge group by combining various results already present in the literature.From the conformal anomaly we extract the Casimir energy on R × S 5 . We find agreement with the proposal in arXiv:1507.08553.

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“…[61] 2 An N 3 dependence has also been found for the conformal a-anomaly, the Euler density contribution, by relating the six-dimensional the Coulomb branch of the (2, 0) theory with the Coulomb branch interactions in four dimensions using supersymmetry. [57,58] We consider current that is conserved…”

Section: Induced Particle Currentmentioning

confidence: 99%

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

Chu

2019

Fortschritte der Physik

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It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non‐uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum. It was also shown that this ‘magnetic Casimir effect’ of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system. In this article, we review the derivation of this phenomena from QFT as well as the derivation of it using AdS/BCFT. We then generalize this four dimensional effect to six‐dimensions. We use the AdS/BCFT holography to show that in the presence of a 3‐form magnetic field strength H, a string current is induced in a six‐dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six‐dimensional conformal field theory in a H‐flux background. For the (2,0) superconformal field theory of N M5‐branes, the current has a magnitude proportional to N3 for large N. This suggests that the degree of freedoms scales as N3 in the (2,0) superconformal theory of N multiple M5‐branes. Our result for the Weyl anomaly is a new prediction for the (2,0) theory.

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The conformal anomaly of M5-branes

Cited by 43 publications

References 70 publications

Cardy formulae for SUSY theories in d = 4 and d = 6

Cardy formulae for SUSY theories in d = 4 and d = 6

Nonabelian M5-brane on S6q

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

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