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A gauge invariant action principle, based on the idea of transgression forms, is proposed. The action extends the Chern-Simons form by the addition of a boundary term that makes the action gauge invariant (and not just quasi-invariant).…

High Energy Physics - Theory · Physics 2009-11-11 Pablo Mora , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We further explore the counter-term subtraction definition of charges (e.g., energy) for classical gravitating theories in spacetimes of relevance to gauge/gravity dualities; i.e., in asymptotically anti-de Sitter spaces and their kin. In…

High Energy Physics - Theory · Physics 2011-07-19 S. Hollands , A. Ishibashi , D. Marolf

The Chern-Simons formulation of $AdS_3$ supergravity is considered. Asymptotic conditions on the Rarita-Schwinger fields are given. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic algebra…

High Energy Physics - Theory · Physics 2007-05-23 Karin Bautier

We revisit the action principle for general relativity motivated by the path integral approach to quantum gravity. We consider a spacetime region whose boundary has piecewise $C^2$ components, each of which can be spacelike, timelike or…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Ian Jubb , Joseph Samuel , Rafael Sorkin , Sumati Surya

A variational principle is constructed for gravity coupled to an asymptotically linear dilaton and a p-form field strength. This requires the introduction of appropriate surface terms -- also known as `boundary counterterms' -- in the…

High Energy Physics - Theory · Physics 2011-08-03 Robert B. Mann , Robert McNees

We generalise the work of 1810.11442 for the case of AdS$_7$/CFT$_6$. Starting from the 2-equivalent charge, 3-equivalent rotation non-extremal black-hole solution in 7D gauged supergravity, we consider the supersymmetric and then the…

High Energy Physics - Theory · Physics 2020-01-29 Gergely Kántor , Constantinos Papageorgakis , Paul Richmond

We give a general analysis of AdS boundary conditions for spin-3/2 Rarita-Schwinger fields and investigate boundary conditions preserving supersymmetry for a graviton multiplet in AdS_4. Linear Rarita-Schwinger fields in AdS_d are shown to…

High Energy Physics - Theory · Physics 2009-07-09 Aaron J. Amsel , Geoffrey Compère

An alternative way of introducing the supersymmetric cosmological term in a supergravity theory is presented. We show that the $AdS$-Lorentz superalgebra allows to construct a geometrical formulation of supergravity containing a generalized…

High Energy Physics - Theory · Physics 2015-08-07 P. K. Concha , E. K. Rodríguez , P. Salgado

New chiral boundary conditions are found for quantum gravity with matter on AdS3. The associated asymptotic symmetry group is generated by a single right-moving U(1) Kac-Moody-Virasoro algebra with c_R = 3l/2G. The Kac-Moody zero mode…

High Energy Physics - Theory · Physics 2015-06-15 Geoffrey Compère , Wei Song , Andrew Strominger

A `resolution' of the interior singularity of the spherically symmetric Schwarzschild solution of the Einstein equations for the gravitational field of a point-particle is carried out entirely and solely by finitistic and algebraic means.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ioannis Raptis

We find that AdS spacetime with a non-trivial linear dilaton field is an exact solution in the effective action of string theory, which is described by gravity with the Gauss-Bonnet curvature terms coupled to a dilaton field in the string…

High Energy Physics - Theory · Physics 2015-03-17 Kei-ichi Maeda , Nobuyoshi Ohta , Yukinori Sasagawa

We construct a new class of rotating AdS black hole solutions with non-compact event horizons of finite area in any dimension and study their thermodynamics. In four dimensions these black holes are solutions to gauged supergravity. We find…

High Energy Physics - Theory · Physics 2015-07-22 Robie A. Hennigar , David Kubiznak , Robert B. Mann

New five-dimensional charged AdS black hole solutions are found in Einstein-Gauss-Bonnet gravity and the nonlinear electrodynamics. These solutions include regular black holes as well as extremal black holes. The first law of the black hole…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Seungjoon Hyun , Cao H. Nam

The entropy of the Schwarzschild-anti de Sitter black hole in the recently proposed four-dimensional critical gravity is trivial in the Euclidean action formulation, while it is expressed by the area law in terms of the brick wall method…

High Energy Physics - Theory · Physics 2015-05-30 Edwin J. Son , Myungseok Eune , Wontae Kim

We calculate small correction terms to gravitational potential on Randall-Sundrum brane with an induced Einstein term. The behaviors of the correction terms depend on the magnitudes of $AdS$ radius $k^{-1}$ and a characteristic length scale…

High Energy Physics - Theory · Physics 2010-04-05 Masato Ito

We investigate $D$-dimensional gravitational model with curvature-quadratic and curvature-quartic correction terms: $R+R^2+R^4$. It is assumed that the corresponding higher dimensional spacetime manifold undergos a spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 Tamerlan Saidov , Alexander Zhuk

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Haas

The counting of microstates of supersymmetric black holes with anti-de Sitter or flat asymptotics is obtained by computing a supersymmetric index in a weakly coupled string theory or a dual superconformal field theory. These indices are…

High Energy Physics - Theory · Physics 2026-02-17 Enrico Turetta

Surface charges of a $p$-form theory on the boundary of an AdS$_{d+1}$ spacetime are computed. Counter-terms on the boundary produce divergent corner-terms which holographically renormalize the symplectic form. Different choices of boundary…

High Energy Physics - Theory · Physics 2021-11-24 Erfan Esmaeili , Vahid Hosseinzadeh

Using a holographic prescription for the Schwinger-Keldysh closed time path, we derive the effective action for a dissipative neutral fluid holographically described by the Einstein gravity in an asymptotic AdS spacetime. In the saddle…

High Energy Physics - Theory · Physics 2025-09-22 Yanyan Bu , Xiyang Sun