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In gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators in the dual CFT. We identify infinite families of theories…

High Energy Physics - Theory · Physics 2016-04-20 Steffen Aksteiner , Yegor Korovin

Recent results on the relation between hyper-Kahler geometry with torsion and solutions admitting Killing spinors in minimal de sitter supergravity are extended to more general supergravity models with vector multiplets.

High Energy Physics - Theory · Physics 2011-08-30 Jan B. Gutowski , W. A. Sabra

We proceed to study a (1+1)-dimensional dilaton gravity system with a hyperbolic dilaton potential. Introducing a couple of new variables leads to two copies of Liouville equations with two constraint conditions. In particular, in conformal…

High Energy Physics - Theory · Physics 2018-03-14 Hideki Kyono , Suguru Okumura , Kentaroh Yoshida

Warped configurations admitting pairs of gravitating defects are analyzed. After devising a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity. The…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Giovannini

Various holographic approaches to QCD in five dimensions are explored using input both from the putative non-critical string theory as well as QCD. It is argued that a gravity theory in five dimensions coupled to a dilaton and an axion may…

High Energy Physics - Theory · Physics 2009-11-18 U. Gursoy , E. Kiritsis

We revisit supersymmetric solutions to five dimensional ungauged N=1 supergravity with dynamic hypermultiplets. In particular we focus on a truncation to the axion-dilaton contained in the universal hypermultiplet. The relevant solutions…

High Energy Physics - Theory · Physics 2015-06-22 Joris Raeymaekers , Dieter Van den Bleeken

We consider a Weyl-Lorentz-$U(1)$-invariant gravity model written in terms of a scalar field, electromagnetic field and nonmetricity without torsion and curvature, the so-called symmetric teleparallel geometry, in three dimensions. Firstly,…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Muzaffer Adak , Nese Ozdemir , Caglar Pala

We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature…

High Energy Physics - Theory · Physics 2015-06-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We propose a superspace formulation of N=(1,0) conformal supergravity in six dimensions. The corresponding superspace constraints are invariant under super-Weyl transformations generated by a real scalar parameter. The known variant Weyl…

High Energy Physics - Theory · Physics 2017-02-08 William D. Linch , Gabriele Tartaglino-Mazzucchelli

We extend the notion of central charge superspace to the case of local supersymmetry. Gauged central charge transformations are identified as diffeomorphisms at the same footing as space-time diffeomorphisms and local supersymmetry…

High Energy Physics - Theory · Physics 2009-10-31 G. Akemann , R. Grimm , M. Hasler , C. Herrmann

We present non-trivial interactions of N=1 self-dual massive vector multiplet in three-dimensions, with gauged scale covariance. Our multiplets are a vector multiplet (A_\mu, \lambda) and a gauge multiplet (B_\mu, \chi), where the latter is…

High Energy Physics - Theory · Physics 2008-11-26 Hitoshi Nishino , Subhash Rajpoot

A notion of curvature is introduced in multivariable operator theory and an analogue of the Gauss-Bonnet-Chern theorem is established for graded (contractive) Hilbert modules over the complex polynomial algebra in d variables, d=1,2,3,....…

Operator Algebras · Mathematics 2007-05-23 William Arveson

We present a theory of modified gravity, inspired by the gauge theories, where the commutator algebra of covariant derivative gives us an added term with respect to the General Relativity, which represents the interaction of gravity with a…

General Relativity and Quantum Cosmology · Physics 2012-01-05 M. Hamani Daouda , Manuel E. Rodrigues , M. J. S. Houndjo

We compute the conformal anomalies for 6d (2,0) conformal supergravity by direct calculation in component fields. The main novel results consist of the type-B anomaly coefficients for the gravitino and the 3-form, as well as their explicit…

High Energy Physics - Theory · Physics 2025-02-19 Lorenzo Casarin , Christian Kennedy , Gabriele Tartaglino-Mazzucchelli

We perform a manifestly covariant quantization of a Weyl invariant, i.e., a locally scale invariant, scalar-tensor gravity in the extended de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance and a new…

High Energy Physics - Theory · Physics 2022-06-29 Ichiro Oda

Generalized Quasitopological Gravities (GQTGs) are higher-order extensions of Einstein gravity in $D$ dimensions satisfying a number of interesting properties, such as possessing second-order linearized equations of motion on top of…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Javier Moreno , Ángel J. Murcia

We present a new regularisation of Euclidean Einstein gravity in terms of (sequences of) graphs. In particular, we define a discrete Einstein-Hilbert action that converges to its manifold counterpart on sufficiently dense random geometric…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Christy Kelly , Carlo Trugenberger , Fabio Biancalana

It is well known that one can parameterize 2-D Riemannian structures by conformal transformations and diffeomorphisms of fiducial constant curvature geometries; and that this construction has a natural setting in general relativity theory…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Gegenberg , G. Kunstatter

We study gravity duals of the minimal $N=2$ super Yang-Mills (SYM) gauge theories in five dimensions using the matter coupled $F(4)$ gauged supergravity in six dimensions. The $F(4)$ gauged supergravity coupled to $n$ vector multiplets…

High Energy Physics - Theory · Physics 2014-11-05 Parinya Karndumri

We compute the sub-leading terms in the Tian-Yau-Zelditch asymptotic expansion of the partition function for dual giant gravitons on AdS5 $\times$ L5 and provide a bulk interpretation in terms of curvature invariants. We accomplish this by…

High Energy Physics - Theory · Physics 2010-11-25 Richard Eager , Michael Gary , Matthew M. Roberts