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Related papers: The Holographic Weyl anomaly

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We investigate the AdS/CFT correspondence for higher-derivative gravity systems, and develop a formalism in which the generating functional of the boundary field theory is given as a functional that depends only on the boundary values of…

High Energy Physics - Theory · Physics 2009-11-07 Masafumi Fukuma , So Matsuura , Tadakatsu Sakai

We study whether the relations between the Weyl anomaly, entanglement entropy (EE), and thermal entropy of a two-dimensional (2D) conformal field theory (CFT) extend to 2D boundaries of 3D CFTs, or 2D defects of $D \geq 3$ CFTs. The Weyl…

High Energy Physics - Theory · Physics 2019-07-15 Kristan Jensen , Andy O'Bannon , Brandon Robinson , Ronnie Rodgers

We present a first attempt to derive the full (type-A and type-B) Weyl anomaly of four dimensional conformal higher spin (CHS) fields in a holographic way. We obtain the type-A and type-B Weyl anomaly coefficients for the whole family of 4D…

High Energy Physics - Theory · Physics 2017-12-06 S. Acevedo , R. Aros , F. Bugini , D. E. Diaz

We explore the connection between the holographic Weyl anomaly and the superconformal index in six-dimensional $(1,0)$ theories. Using earlier results from holographic computations of the $\mathcal O(1)$ contributions $\delta a$ and…

High Energy Physics - Theory · Physics 2019-01-16 James T. Liu , Brian McPeak

We study the anomalies of two-dimensional BPS defects in six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories. Using a holographic description of these defects furnished by probe D4-branes in AdS${}_7$ solutions of…

High Energy Physics - Theory · Physics 2024-08-27 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

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…

High Energy Physics - Theory · Physics 2021-07-28 Chong-Sun Chu

We calculate the holographic three-point function parameters $\mathcal A$, $\mathcal B$, $\mathcal C$ in general $d\geqslant 4$ dimensions from higher curvature gravities up to and including the quartic order. The result is valid both for…

High Energy Physics - Theory · Physics 2023-11-10 Fei-Yu Chen , H. Lu

We present a systematic approach to supersymmetric holographic renormalization for a generic 5D $\mathcal{N}=2$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to…

High Energy Physics - Theory · Physics 2018-01-17 Ok Song An

In AdS/CFT, the holographic Weyl anomaly computation relates the a-anomaly coefficient to the properties of the bulk action at the UV fixed point. This universal behavior suggests the possibility of a holographic c-theorem for the a-anomaly…

High Energy Physics - Theory · Physics 2013-05-30 James T. Liu , Wafic Sabra , Zhichen Zhao

We determine the type-A Weyl anomaly coefficient $b$, associated with the intrinsic scalar curvature of the defect, for the class of holographically realised co-dimension two defect CFTs (dCFTs) introduced in arXiv: 2506.14505 and arXiv:…

High Energy Physics - Theory · Physics 2026-04-23 George Georgiou

For a general $\lambda$-deformation of current algebra CFTs we compute the exact Weyl anomaly coefficient and the corresponding metric in the couplings space geometry. By incorporating the exact $\beta$-function found in previous works we…

High Energy Physics - Theory · Physics 2018-12-05 Eftychia Sagkrioti , Konstantinos Sfetsos , Konstantinos Siampos

Motivated by questions about quantum information and classification of quantum field theories, we consider Conformal Field Theories (CFTs) in spacetime dimension $d\geq 5$ with a conformally-invariant spatial boundary (BCFTs) or…

High Energy Physics - Theory · Physics 2023-03-21 Adam Chalabi , Christopher P. Herzog , Andy O'Bannon , Brandon Robinson , Jacopo Sisti

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local…

High Energy Physics - Theory · Physics 2017-08-30 Branislav Cvetković , Olivera Miskovic , Dejan Simić

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

We follow to Witten proposal in the calculation of conformal anomaly from d+1-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

Supersymmetric higher derivative gravities define superconformal field theories via the AdS/CFT correspondence. From the boundary theory viewpoint, supersymmetry implies a relation between the coefficients which determine the three point…

High Energy Physics - Theory · Physics 2011-02-28 Manuela Kulaxizi , Andrei Parnachev

We show that a "constructive derivation" of the AdS/CFT correspondence based on the quantum local renormalization group in large N quantum field theories consistently provides the a-c holographic Weyl anomaly in d=4 at the curvature squared…

High Energy Physics - Theory · Physics 2014-09-18 Yu Nakayama

Trace anomaly for dilaton coupled conformal theories on curved background with non-zero dilaton is found from supergravity side as an IR effect using AdS/CFT correspondence. For $d=2$ it coincides with the conformal anomaly for dilaton…

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

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…

High Energy Physics - Theory · Physics 2019-07-29 Chong-Sun Chu , Rong-Xin Miao

We discuss various issues related to the understanding of the conformal anomaly matching in CFT from the dual holographic viewpoint. First, we act with a PBH diffeomorphism on a generic 5D RG flow geometry and show that the corresponding…

High Energy Physics - Theory · Physics 2013-11-21 Alejandro Cabo-Bizet , Edi Gava , K. S. Narain