Conformal anomaly of (2,0) tensor multiplet in six-dimensions and AdS / CFT correspondence

By F. Bastianelli, S. Frolov, A. Tseytlin. 2000

187 citations recorded by the source corpus.

We compute the conformal anomaly in the free d = 6 superconformal (2,0) tensor multiplet theory on generic curved background. Up to a trivial covariant total-derivative term, it is given by the sum of the type A part proportional to the 6-d Euler density, and the type B part containing three independent conformal invariants. Multiplied by the factor 4N3, the latter Weyl-invariant part of the anomaly reproduces exactly the corresponding part of the conformal anomaly of large N multiple M5-brane (2,0) theory as predicted (hep-th/9806087) by AdS7 supergravity on the basis of AdS/CFT correspondence. The coefficients of the type A anomaly differ by the factor (4/7) × 4N3, so that the free tensor multiplet anomaly does not vanish on a Ricci-flat background. The coefficient 4N3 is the same as found (hep-th/9703040) in the comparison of the tensor multiplet theory and the d = 11 supergravity predictions for the absorption cross-sections of gravitons by M5 branes, and in the comparison (hep-th/9911135) of 2- and 3-point stress tensor correlators of the free tensor multiplet with the AdS7 supergravity predictions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d81641856b65fac5d9196f038bda88cea0ee4a53

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Citations in the corpus

On holographic entanglement entropy and higher curvature gravity (2011, background): “e discuss in section 7, the latter does not seem to lead to any diculties in d= 4. { 13 { 2.3.2 Entanglement entropy for d= 6 In six dimensions, the trace anomaly (2.13) can be explicitly written as [40] hTi ii= X3 n=1 B nI n+ 2AE 6 (2.25) where I 1 = C kijlC imnjC kl m n ; I 2 = C ij C mn kl C ij m”
AdS7/CFT6, Gauss-Bonnet gravity, and viscosity bound (2009, methodology): “ons involving terms of the type (5.6). Fortunately, the last (total derivative) term in the anomaly can also be represented in a convenient way. In fact, any total derivative term must be of the form [35] ∇iJ i = X7 i=1 ciCi (5.8) where Ci are certain combinations of curvature invariants which can b”
Entanglement Entropy of Black Holes (2011, methodology): “2 Logarithmic terms in 6-dimensional conformal field theory In six dimensions, omitting the total derivative terms, the conformal anomaly is a combination of four different conformal invariants [17]”
On renormalization group flows and the a-theorem in 6d (2012, methodology): “In a given example, one can, in principle, check this form, compute the coefficient and compare the result with a calculation of ∆a by a conventional method, such as the heat kernel method [22].”
Holographic c-theorems in arbitrary dimensions (2010, background): “There we have shown ad = A and we know that A can be identified as a particular coefficient in a (d/2+1)-point function [61].”
Massless higher spins and holography (2002, background): “pology while the rotating membrane has cylindrical topology. One important test of the free CFT6/7DHS gauge theory correspondence is the matching of the holographic Weyl anomaly [73]. It was shown in [89] that the 6d trace-anomaly of (free) tensor singletons does not match the holographic anomaly co”
The Hydrodynamics of M-Theory (2002, background): “3 For another N -puzzle involving the conformal anomaly, see [16].”
Holographic Lovelock gravities and black holes (2009, background): “1 biIi − X7 i=1 ciCi = 0 (4.5) 19 vanishes. In eq. (4.5) the Ii are the B-type anomaly terms composed out of Weyl tensor, and Ci are the total derivative terms. Both can be found in the Appendix A of [26]. This completely ﬁxes bi and ci. Since we are interested in the values of t2 and t4, it is suﬃc”