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We propose a recipe - arguably the simplest - to compute the holographic type-B Weyl anomaly for general higher-derivative gravity in asymptotically AdS spacetimes. In 5 and 7 dimensions we identify a suitable basis of curvature invariants…

High Energy Physics - Theory · Physics 2017-05-24 F. Bugini , D. E. Diaz

We use the relation between certain diffeomorphisms in the bulk and Weyl transformations on the boundary to build the conformal structure of the metric in the presence of matter in the bulk. We explicitly obtain the conformal anomaly in any…

High Energy Physics - Theory · Physics 2013-10-23 Mozhgan Mir

A spinorial approach to 6-dimensional differential geometry is constructed and used to analyze tensor fields of low rank, with special attention to the Weyl tensor. We perform a study similar to the 4-dimensional case, making full use of…

General Relativity and Quantum Cosmology · Physics 2013-06-06 Carlos Batista , Bruno Carneiro da Cunha

Six-dimensional conformal field theories with $(2,0)$ supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to…

High Energy Physics - Theory · Physics 2015-09-30 Christopher Beem , Leonardo Rastelli , Balt C. van Rees

We look for chiral primaries in the general Leigh-Strassler deformed N=4 super Yang-Mills theory by systematically computing the planar one-loop anomalous dimension for single trace operators up to dimension six. The operators are organised…

High Energy Physics - Theory · Physics 2010-02-03 Kallingalthodi Madhu , Suresh Govindarajan

In this paper we study the spectrum of all conformal, ${\cal N}$-extended supergravities (${\cal N}=1,2,3,4$) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl$^2$supergravity, the…

High Energy Physics - Theory · Physics 2018-09-26 Sergio Ferrara , Alex Kehagias , Dieter Lust

We study a number of (3+1)- and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using…

High Energy Physics - Theory · Physics 2015-11-09 John Estes , Kristan Jensen , Andy O'Bannon , Efstratios Tsatis , Timm Wrase

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , M. A. Lledó

We present a bottom-up holographic description of the QCD $\theta$-vacuum and the $U(1)_A$ anomaly in five dimensions. The multi-branched $\theta$-vacuum structure emerges geometrically from a higher-dimensional gauge field, while the axial…

High Energy Physics - Phenomenology · Physics 2026-03-27 Csaba Csáki , Eric Kuflik , Wei Xue , Taewook Youn

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

We construct supersymmetric completions of various curvature squared terms in five dimensional supergravity with eight supercharges. Adopting the dilaton Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar squared as…

High Energy Physics - Theory · Physics 2013-08-15 Mehmet Ozkan , Yi Pang

I review the computation of the conformal anomaly of a Wilson surface observable in free two-form gauge theory in six dimensions.

High Energy Physics - Theory · Physics 2007-05-23 Mans Henningson

The conformal anomaly for spinors and scalars on a N-dimensional hyperbolic space is calculated explicitly, by using zeta-function regularization techniques and the Selberg trace formula. In the case of conformally invariant spinors and…

General Relativity and Quantum Cosmology · Physics 2009-09-17 A. A. Bytsenko , E. Elizalde , S. D. Odintsov

As was shown earlier, one-loop correction in 10d supergravity on AdS_5 x S^5 corresponds to the contributions to the vacuum energy and boundary 4d conformal anomaly which are minus the values for one n=4 Maxwell supermultiplet, thus…

High Energy Physics - Theory · Physics 2015-06-29 Matteo Beccaria , Guido Macorini , Arkady A. Tseytlin

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight…

High Energy Physics - Theory · Physics 2023-05-03 Connor Behan

We formulate off-shell N=1 superconformal higher spin multiplets in four spacetime dimensions and briefly discuss their coupling to conformal supergravity. As an example, we explicitly work out the coupling of the superconformal gravitino…

High Energy Physics - Theory · Physics 2017-12-01 Sergei M. Kuzenko , Ruben Manvelyan , Stefan Theisen

Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to…

High Energy Physics - Theory · Physics 2011-03-02 Andreas Brandhuber , Dimitrios Korres , Daniel Koschade , Gabriele Travaglini

The main result of this paper is that the Weyl anomaly of a $z=2$ (1+1)-dimensional Lifshitz effective action can be derived from a (2+1)-dimensional non-relativistic Schr$\mathrm{\ddot{o}}$dinger-invariant Chern-Simons (NRSCS) action which…

High Energy Physics - Theory · Physics 2019-10-24 Amr Ahmadain

We calculate the one-loop corrections to the mass and central charge of the BPS monopole in N=2 super-Yang-Mills theory in 3+1 dimensions using a supersymmetry-preserving version of dimensional regularization adapted to solitons. In the…

High Energy Physics - Theory · Physics 2009-11-10 A. Rebhan , P. van Nieuwenhuizen , R. Wimmer

We compute the first-order correction in the quartic coupling $\alpha$ to the entanglement entropy of a massive, non-minimally coupled scalar across the horizon of a four-dimensional Schwarzschild black hole, treating the non-minimal…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Florin Manea