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In this thesis, the AdS/CFT correspondence is used as a tool to explore novel AdS$_5$ Supergravity backgrounds (containing five-dimensional Anti-de Sitter spacetime) and their dual (four dimensional) Conformal Field Theory descriptions. In…

High Energy Physics - Theory · Physics 2025-10-15 Paul Merrikin

The gauge dependence of the conformal anomaly for spin 3/2 and spin 2 fields in non-conformal supergravities has been a long standing puzzle. In this Letter we argue that the `correct' gauge choice is the one that follows from requiring all…

High Energy Physics - Theory · Physics 2017-08-09 Krzysztof A. Meissner , Hermann Nicolai

In a classical conformal invariant supersymmetric gauge theory, the chiral R-symmetry current, the supersymmetry current and the energy-momentum tensor constitute a supercurrent multiplet. There are two different superconformal anoamly…

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

In the framework of gauge invariant approach involving Stueckelberg and auxiliary fields, totally symmetric arbitrary spin anomalous conformal current and shadow field in flat space-time of dimension greater than or equal to four are…

High Energy Physics - Theory · Physics 2013-05-30 R. R. Metsaev

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

We show that there is a non-trivial relationship between the dilaton of IIB supergravity, and the coset of scalar fields in five-dimensional, gauged N=8 supergravity. This has important consequences for the running of the gauge coupling in…

High Energy Physics - Theory · Physics 2009-10-31 Krzysztof Pilch , Nicholas P. Warner

In this paper we construct solutions with AdS/dS asymptotics for $D=3$ truncated gauged supergravity with a periodic scalar potential. In a holographic perspective, assuming Dirichlet boundary conditions, the solutions can be interpreted as…

High Energy Physics - Theory · Physics 2026-02-27 Lev Astrakhantsev , Anastasia A. Golubtsova , Mikhail A. Podoinitsyn

The special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the Breitenlohner-Freedman bounds and their ratio is integral (``resonant scalars'') are studied in the…

High Energy Physics - Theory · Physics 2009-11-11 M. Banados , A. Schwimmer , S. Theisen

We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small…

High Energy Physics - Theory · Physics 2011-10-11 A. Liam Fitzpatrick , Emanuel Katz , David Poland , David Simmons-Duffin

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

The running gauge coupling and quark-antiquark potential in d-dimensions are calculated from the explicit solution of d+1-dimensional dilatonic gravity. This background interpolates between usual AdS in UV and flat space with singular…

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

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and…

High Energy Physics - Theory · Physics 2009-11-07 Nihat Sadik Deger

When quantizing Conformal Dilaton Gravity there is a conformal anomaly which starts at two loop order. This anomaly stems from evanescent operators on the divergent parts of the effective action. The general form of the finite counterterm…

High Energy Physics - Theory · Physics 2016-03-23 Enrique Álvarez , Sergio González-Martín , Carmelo P. Martín

Six dimensional supergravities on $ADS_3 \times S^3$ present interest due to the role they play in the $AdS/CFT$ correspondence. The correspondence in this case states the equivalence between supergravity on the given background and a still…

High Energy Physics - Theory · Physics 2009-10-31 Mihail Mihailescu

We explicitly calculate the induced gravity theory at the boundary of an asymptotically Anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Aros , Mauricio Romo , Nelson Zamorano

We explore the relation between positivity of the energy constraints in conformal field theories and causality in their dual gravity description. Our discussion involves CFTs with different central charges whose description, in the gravity…

High Energy Physics - Theory · Physics 2014-11-20 Xian O. Camanho , Jose D. Edelstein

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

We investigate the anomaly-induced activation of a gauge-invariant scalar degree of freedom in General Relativity, the conformalon mode, directly at the level of \(2\to2\) scattering amplitudes. The analysis couples anomalous three-point…

High Energy Physics - Theory · Physics 2026-04-02 Claudio Corianò , Stefano Lionetti , Dario Melle , Leonardo Torcellini

We consider type IIB supergravity backgrounds corresponding to the deformed AdS_n x S^n supercoset string models of the type constructed in arXiv:1309.5850 which depend on one deformation parameter \k. In AdS_2 x S^2 case we find that the…

High Energy Physics - Theory · Physics 2016-01-26 O. Lunin , R. Roiban , A. A. Tseytlin

We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester