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We demonstrate that possession of a single negative mode is not a sufficient criterion for an instanton to mediate exponential decay. For example, de Sitter space is generically stable against decay via the Coleman-De Luccia instanton. This…

High Energy Physics - Theory · Physics 2011-10-12 Benjamin Shlaer

With a view to understanding extended-BMS symmetries in the framework of the $AdS_4/CFT_3$ correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters.…

High Energy Physics - Theory · Physics 2021-02-03 David A. Lowe , David M. Ramirez

In the prototypical AdS$_5$/CFT$_4$ correspondence, the free energy of $\mathcal{N}=4$ SU$(N)$ super Yang-Mills theory is commonly reproduced from the Euclidean on-shell action of five-dimensional gauged supergravity -- a consistent…

High Energy Physics - Theory · Physics 2026-03-23 Soumya Adhikari , Junho Hong , Chanyoung Joung , Geum Lee

We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Mariano Cadoni , Salvatore Mignemi , Matteo Serra

Quantum field theory on two- and three-dimensional fuzzy anti-de Sitter spaces is introduced and studied. We find a complete set of solutions to the fuzzy Klein-Gordon equation and identify the commutative limit in which they reduce to…

High Energy Physics - Theory · Physics 2025-08-15 Bojana Brkić , Ilija Burić , Maja Burić , Dušan Đorđević , Duško Latas

We consider ($d+n+1$)-dimensional solutions of Einstein gravity with constant negative curvature. Regular solutions of this type are expected to be dual to the ground states of ($d+n$)-dimensional holographic CFTs on $AdS_d\times S^n$.…

High Energy Physics - Theory · Physics 2023-11-23 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

The stability of physical systems depends on the existence of a state of least energy. In gravity, this is guaranteed by the positive energy theorem. For topological reasons this fails for nonsupersymmetric Kaluza-Klein compactifications,…

High Energy Physics - Theory · Physics 2009-11-07 G. J. Galloway , S. Surya , E. Woolgar

We study zero-temperature false vacuum decay in $D$ compact spatial dimensions and show that for volumes below a critical value a new bounce solution, different from Coleman's celebrated $O(D)$ bubble, mediates the decay process, and…

High Energy Physics - Theory · Physics 2026-05-13 Saquib Hassan , John March-Russell

Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region which is AdS_2 x R^{d-1}. The scale invariance of the AdS_2 region implies that at low energies the dual field theory exhibits…

High Energy Physics - Theory · Physics 2011-11-01 Thomas Faulkner , Hong Liu , John McGreevy , David Vegh

Motivated by the lack of consensus on whether or not de Sitter (dS) lies in the Swampland, we use a recently developed braneworld construction and known Anti-de Sitter (AdS) vacua to compute an explicit effective dS cosmology in three…

High Energy Physics - Theory · Physics 2022-02-16 Filip Landgren

We explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description. Free fields in the bulk are constructed from the CFT operators, but…

High Energy Physics - Theory · Physics 2007-05-23 Tom Banks , Michael R. Douglas , Gary T. Horowitz , Emil Martinec

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2007-05-23 Henrique Boschi-Filho , Nelson R. F. Braga

We discuss non-perturbative instabilities, mediated by bubbles of nothing, in the context of the AdS/CFT correspondence. By exploring the phase diagram of such decays we give an interpretation of the process in terms of an effective…

High Energy Physics - Theory · Physics 2008-11-26 Jianyang He , Moshe Rozali

This thesis is an elaboration of recent results on the holographic re-construction of metric-like interactions in higher-spin gauge theories on anti-de Sitter space (AdS), employing their conjectured holographic duality with free conformal…

High Energy Physics - Theory · Physics 2017-09-27 Charlotte Sleight

We prove two theorems, announced in hep-th/0108170, for static spacetimes that solve Einstein's equation with negative cosmological constant. The first is a general structure theorem for spacetimes obeying a certain convexity condition near…

High Energy Physics - Theory · Physics 2009-11-07 G. J. Galloway , S. Surya , E. Woolgar

We study the problem of false vacuum decay in arbitrary dimensions, in the presence of gravity, and compute the transition probability within the thin-wall approximation, generalising the results of Coleman and de Luccia. In the particular…

High Energy Physics - Theory · Physics 2025-12-16 Ignatios Antoniadis , Daniele Bielli , Auttakit Chatrabhuti , Hiroshi Isono

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 derive a simple formula for the action of any supersymmetric solution to minimal gauged supergravity in the AdS$_4$/CFT$_3$ correspondence. Such solutions are equipped with a supersymmetric Killing vector, and we show that the…

High Energy Physics - Theory · Physics 2019-11-05 Pietro Benetti Genolini , Juan Manuel Pérez Ipiña , James Sparks

We present exact Coleman-de Luccia (CdL) instantons, which describe vacuum decay from Anti de Sitter (AdS) space, de Sitter (dS) space and Minkowski space to AdS space. We systematically obtain these exact solutions by considering…

High Energy Physics - Theory · Physics 2014-12-09 Sugumi Kanno , Jiro Soda

We propose a simple non-perturbative formalism for false vacuum decay using functional methods. We introduce the quasi-stationary effective action, a bounce action that non-perturbatively incorporates radiative corrections and is robust to…

High Energy Physics - Theory · Physics 2023-07-11 Djuna Croon , Eleanor Hall , Hitoshi Murayama