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General solutions of the Wess-Zumino consistency condition for the Weyl anomalies

Nicolas Boulanger
- 26 Jul 2007 - 
- Vol. 2007, Iss: 07, pp 069-069
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TLDR
In this article, the general solutions of the Wess-Zumino consistency condition for the Weyl anomalies are derived in a purely algebraic manner by explicitly computing the cohomology of the corresponding Becchi-Rouet-Stora-Tyutin differential in the space of integrated local functions at ghost number unity.
Abstract
The general solutions of the Wess-Zumino consistency condition for the Weyl anomalies are derived in a purely algebraic manner. The solutions are obtained, in arbitrary dimensions, by explicitly computing the cohomology of the corresponding Becchi-Rouet-Stora-Tyutin differential in the space of integrated local functions at ghost number unity.

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Scale invariance vs conformal invariance

TL;DR: In this article, the authors discuss the equivalence between scale invariance and conformal invariance in relativistic quantum field theories in d=2 space-time dimensions and prove that scale invariant quantum field theory in d =2 space time dimensions necessarily possess the enhanced conformal symmetry.
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Entanglement entropy, trace anomalies and holography ✩

TL;DR: In this article, the holographic representation of the entanglement entropy of four-dimensional conformal field theories is studied and the anomalous terms in the entropy are evaluated by generalizing the replica trick.
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Weyl anomaly of conformal higher spins on six-sphere

TL;DR: In this paper, the Weyl anomaly was computed for higher-derivative conformal higher spin field in d = 4 and shown that it matched the expression found in arXiv:1306.5242 by a “holographic” method from a ratio of massless higher spin determinants in AdS5.
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Trace anomalies in chiral theories revisited

TL;DR: In this article, the Pontryagin density of theories with chiral fermions at one-loop has been investigated and it has been shown that this may break unitarity, in which case the trace anomaly has to be used as a selective criterion for theories, analogous to the chiral anomalies in gauge theories.
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Polyakov formulas for GJMS operators from AdS/CFT

TL;DR: In this paper, a holographic derivation of the conformal anomaly and its conformal primitive, associated to the whole family of conformally covariant powers of the Laplacian (GJMS) operators, is presented.
References
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Journal ArticleDOI

Anti De Sitter Space And Holography

TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Book

Quantum Fields in Curved Space

N. D. Birrell, +1 more
TL;DR: A comprehensive review of the subject of gravitational effects in quantum field theory can be found in this paper, where special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe.
Journal ArticleDOI

Large N Field Theories, String Theory and Gravity

TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
Journal ArticleDOI

Consequences of anomalous ward identities

TL;DR: In this paper, the anomalous Ward identities are shown to satisfy consistency or integrability relations, which restrict their possible form, for the case of SU(3) × SU(1) and for SU(2) + SU (3) + 2.
Journal ArticleDOI

The holographic Weyl anomaly

TL;DR: In this article, the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence was calculated for the case d = 2, 4 and 6.