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We formulate new boundary conditions that prove well defined variational principle and finite response functions for conformal gravity (CG). In the Anti--de Sitter/conformal field theory framework, gravity theory that is considered in the…

High Energy Physics - Theory · Physics 2016-12-30 I. Lovrekovic

In this work we elaborate on an extension of the AdS/CFT framework to a subclass of gravitational theories with vanishing cosmological constant. By building on earlier ideas, we construct a correspondence between Ricci-flat spacetimes…

High Energy Physics - Theory · Physics 2015-06-05 R. N. Caldeira Costa

We consider a very general dilaton-axion system coupled to Einstein-Hilbert gravity in arbitrary dimension and we carry out holographic renormalization for any dimension up to and including five dimensions. This is achieved by developing a…

High Energy Physics - Theory · Physics 2016-02-12 Ioannis Papadimitriou

We reconsider formulating $D$ dimensional gauge theories, with the focus on the case of gravity theories, in spacetimes with boundaries. We extend covariant phase space formalism to the cases in which boundaries are allowed to fluctuate. We…

High Energy Physics - Theory · Physics 2024-07-04 H. Adami , M. Golshani , M. M. Sheikh-Jabbari , V. Taghiloo , M. H. Vahidinia

We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a well-defined type II action for NS-sector linear dilaton backgrounds. Our methods are based on a…

High Energy Physics - Theory · Physics 2010-10-27 Donald Marolf , Amitabh Virmani

We consider gravity in four dimensions in the vielbein formulation, where the fundamental variables are a tetrad $e$ and a SO(3,1) connection $\omega$. We start with the most general action principle compatible with diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Alejandro Corichi , Irais Rubalcava-Garcia , Tatjana Vukasinac

We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS…

High Energy Physics - Theory · Physics 2021-04-28 Romain Ruzziconi , Céline Zwikel

We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supply a destination to the electric lines of force emanating…

High Energy Physics - Theory · Physics 2009-11-10 Marcos Alvarez , David I. Olive

We discuss an approach to characterizing local degrees of freedom of a subregion in diffeomorphism-invariant theories using the extended phase space of Donnelly and Freidel, [JHEP 2016 (2016) 102]. Such a characterization is important for…

High Energy Physics - Theory · Physics 2018-02-09 Antony J. Speranza

We present a set of noncommuting frame-translation symmetries in 4D gravity in tetrad-connection variables, which allow expressing diffeomorphisms as composite transformations. Working on the phase space level for finite regions, we pay…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Simon Langenscheidt , Daniele Oriti

The gauge/string dualities have drawn attention to a class of variational problems on a boundary at infinity, which are not well defined unless a certain boundary term is added to the classical action. In the context of supergravity in…

High Energy Physics - Theory · Physics 2011-03-17 Ioannis Papadimitriou

The conserved charges associated to gauge symmetries are defined at a boundary component of space-time because the corresponding Noether current can be rewritten on-shell as the divergence of a superpotential. However, the latter is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 B. Julia , S. Silva

We find the Holographic Renormalization Group equations for the holographic duals of generic gravity theories coupled to form fields and spin-1/2 fermions. Using Hamilton-Jacobi theory we discuss the structure of Ward identities, anomalies,…

High Energy Physics - Theory · Physics 2009-10-31 Jussi Kalkkinen , Dario Martelli

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

By incorporating two gauge connections, transgression forms provide a generalization of Chern-Simons actions that are genuinely gauge-invariant on bounded manifolds. In this work, we show that, when defined on a manifold with a boundary,…

High Energy Physics - Theory · Physics 2024-01-02 Pablo Pais , Patricio Salgado-Rebolledo , Aldo Vera

We revisit the problem of extending the phase space of diffeomorphism-invariant theories to account for embeddings associated with the boundary of sub-regions. We do so by emphasizing the importance of a careful treatment of embeddings in…

High Energy Physics - Theory · Physics 2022-05-02 Luca Ciambelli , Robert G. Leigh , Pin-Chun Pai

We study the covariant phase space of vacuum general relativity at the null boundary of causal diamonds. The past and future components of such a null boundary each have an infinite-dimensional symmetry algebra consisting of diffeomorphisms…

General Relativity and Quantum Cosmology · Physics 2019-11-12 Venkatesa Chandrasekaran , Kartik Prabhu

We derive hamiltionian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the ``covariant phase space'' method of Wald et al. We then compare our results with other definitions that have…

High Energy Physics - Theory · Physics 2009-11-11 S. Hollands , A. Ishibashi , D. Marolf

We investigate the asymptotic symmetries of General Relativity at spatial infinity within the first-order formalism described by the Holst action. Employing the covariant phase space method, we propose a set of relaxed boundary conditions…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Sepideh Bakhoda , Hongguang Liu

The asymptotic analysis for the metric of a generic solution of Einstein-Gauss-Bonnet AdS theory is provided by solving the field equations in the Fefferman-Graham frame. Using standard holographic renormalization, the counterterms that…

High Energy Physics - Theory · Physics 2026-02-09 Giorgos Anastasiou , Ignacio J. Araya , Avik Chakraborty , Cristóbal Corral , Rodrigo Olea