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We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

Anomalies of N = (4,4) superconformal field theories coupled to a conformal supergravity background in two dimensions are computed by using the AdS/CFT correspondence. We find that Weyl, axial gauge and super Weyl transformations are…

High Energy Physics - Theory · Physics 2009-10-31 M. Nishimura , Y. Tanii

The Weyl anomaly problem is treated within a purely geometrical context. Arguments are given that hint at a possible classical origin of the conformal anomaly in the Riemannian nature of the background geometry where the matter fields play…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

Anomaly mediation mechanism of supersymmetry breaking is known to have an unsatisfactory aspect which is often referred to as the tachyonic slepton problem. A possible way out of this difficulty is investigated by considering the mediation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Koske Nishihara , Takahiro Kubota

We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general…

High Energy Physics - Theory · Physics 2009-10-31 Mans Henningson , Kostas Skenderis

We give a complete account of the Schr\"odinger representation approach to the calculation of the Weyl anomaly of ${\cal N}=4$ SYM from the AdS/CFT correspondence. On the AdS side, the $1/N^2$ correction to the leading order result receives…

High Energy Physics - Theory · Physics 2009-11-10 Paul Mansfield , David Nolland , Tatsuya Ueno

We explore an unusual symmetry in a field theory on a specific (1+1)-dimensional curved spacetime, which has an interesting interpretation as an approximate asymptotic Weyl symmetry. Unlike the conventional Weyl symmetry, the boundary term…

High Energy Physics - Theory · Physics 2025-12-09 Jeongwon Ho , O-Kab Kwon , Sang-A Park , Sang-Heon Yi

We revisit Weyl invariance of string theories in generalized supergravity backgrounds. In the previous work arXiv:1703.09213, a possible counterterm was constructed, but it seems to be a point of controversy in some literatures whether it…

High Energy Physics - Theory · Physics 2019-09-13 Jose J. Fernandez-Melgarejo , Jun-ichi Sakamoto , Yuho Sakatani , Kentaroh Yoshida

For a classical superconformal gauge theory in a conformal supergravity background, its chiral R-symmetry anomaly, Weyl anomaly and super-Weyl anomaly constitute a supermultiplet. We review how these anomalies arise from the…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , W. F. Chen

We define the notion of Weyl anomalies, measuring the violation of local scale invariance, in interacting quantum field theory on curved spacetimes in the framework of locally covariant field theory. We discuss some general properties of…

High Energy Physics - Theory · Physics 2025-11-13 Markus B. Fröb , Jochen Zahn

Nonlocality is an interesting topic in quantum physics and is usually mediated by some unique quantum states. Here we investigate a Weyl semimetal slab and find an exotic nonlocal correlation effect when placing two potential wells merely…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Zhe Hou , Qing-Feng Sun

We review our calculation of the Weyl anomaly for d-dimensional conformal field theories that have a description in terms of a (d + 1)-dimensional gravity theory.

High Energy Physics - Theory · Physics 2017-04-26 Mans Henningson , Kostas Skenderis

Using the formulation for N=2 conformal supergravity in SU(2) superspace, we define super-Weyl (or superconformal) anomalies and construct two types of nonlocal effective actions that generate these anomalies. We also present the local…

High Energy Physics - Theory · Physics 2015-06-16 Sergei M. Kuzenko

Conformally invariant massless field systems involving only dimensionless parameters are known to describe particle physics at very high energy. In the presence of an external gravitational field, the conformal symmetry may generalize to…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Boulanger

Operators transform anomalously under the symmetry in the presence of quantum anomalies. We study this aspect of the super-Weyl anomaly in $\mathcal N=(1,1)$ superconformal field theories (SCFTs), in the context of AdS/CFT. In particular,…

High Energy Physics - Theory · Physics 2019-05-22 Ok Song An , Yong Hae Ko , Sok-Hyon Won

We discuss Weyl anomaly and consistency conditions of local renormalization group in d=1+2 dimensional quantum field theories. We give a classification of the consistency conditions and ambiguities in most generality within the…

High Energy Physics - Theory · Physics 2015-06-16 Yu Nakayama

We study how local symmetry transformations of (p, q) anti de Sitter supergravities in three dimensions act on fields on the two-dimensional boundary. The boundary transformation laws are shown to be the same as those of two-dimensional (p,…

High Energy Physics - Theory · Physics 2015-06-26 M. Nishimura , Y. Tanii

We consider a new MacDowell-Mansouri R^2-type of supergravity theory, an extension of conformal supergravity, based on the superalgebra Osp(1|8). Invariance under local symmetries with negative Weyl weight is achieved by imposing…

High Energy Physics - Theory · Physics 2009-10-30 Tobias Hurth , Peter van Nieuwenhuizen , Andrew Waldron , Christian Preitschopf

The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov , Sven-Olaf Moch

It is well known that a quantized two-dimensional Weyl fermion coupled to gravity spoils general covariance and breaks the covariant conservation of the energy-momentum tensor. In this brief article, we point out that the quantum…

High Energy Physics - Theory · Physics 2019-05-20 Pau Beltrán-Palau , Jose Navarro-Salas , Silvia Pla
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