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Four-dimensional cosmological models are studied on a boundary of a five-dimensional Anti-de Sitter (AdS_5) black hole with AdS Reissner-Nordstrom and scalar charged Reissner- Nordstrom black hole solutions, where we call the former a…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Sunly Khimphun , Bum-Hoon Lee , Gansukh Tumurtushaa

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

The AdS soliton is a nonsingular spacetime that has a flat conformal boundary with a compact $S^1$ direction. We find a horizonless cohomogeneity-1 metric that describes nonlinear gravitational oscillations of the AdS soliton in five…

High Energy Physics - Theory · Physics 2020-09-01 Markus Garbiso , Takaaki Ishii , Keiju Murata

In this paper we investigate the large-$N$ behavior of 5-dimensional $\mathcal{N}=1$ super Yang-Mills with a level $k$ Chern-Simons term and an adjoint hypermultiplet. As in three-dimensional Chern-Simons theories, one must choose an…

High Energy Physics - Theory · Physics 2015-02-26 Joseph A. Minahan , Anton Nedelin

We consider the (2, 0) supersymmetric theory of tensor multiplets and self-dual strings in six space-time dimensions. Space-time diffeomorphisms that leave the string world-sheet invariant appear as gauge transformations on the normal…

High Energy Physics - Theory · Physics 2009-11-10 Mans Henningson

A Fermi surface threaded by a Berry phase can be described by the Wess-Zumino-Witten (WZW) term. After gauging, it produces a five-dimensional Chern-Simons term in the action. We show how this Chern-Simons term captures the essence of the…

High Energy Physics - Theory · Physics 2013-10-16 Gokce Basar , Dmitri E. Kharzeev , Ismail Zahed

We glue together two copies of pure AdS spacetime along their conformal boundaries creating a manifold without boundaries. The resulting space, which in dimension $d+2$ we denote by $AdS^{d+2}_\pm$, has the topology of $S^2\times\Sigma^d$,…

High Energy Physics - Theory · Physics 2025-12-25 Cesar Arias

We study the vacuum structure of spin-3 higher-spin supergravity in AdS_3 spacetime. The theory can be written as a Chern-Simons theory based on the Lie superalgebra sl(3|2). We find three distinct AdS_3 vacua, AdS^(1), AdS^(2) and AdS^(p),…

High Energy Physics - Theory · Physics 2015-06-12 Cheng Peng

We examine whether the free energy of N=4 super Yang-Mills theory (SYM) in four dimensions corresponds to the partition function of the AdS_5 x S^5 superstring when corresponding operators are inserted into both theories. We obtain a formal…

High Energy Physics - Theory · Physics 2008-11-26 Matsuo Sato

In three and two dimensions the asymptotic symmetry groups of $AdS$ spaces are infinite dimensional. This can be explained easily by noting the relations $AdS_3 \simeq SL(2)$ and $AdS_2 \simeq SL(2)/SO(2)$, i.e. that the asymptotic…

High Energy Physics - Theory · Physics 2012-12-11 Heikki Arponen

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the…

High Energy Physics - Theory · Physics 2008-11-26 Sean McReynolds

In the Berkooz-Douglas matrix model of M theory in the presence of longitudinal $M5$-brane, we investigate the effective dynamics of the system by considering the longitudinal $M5$-brane as the background and the spherical $M5$-brane…

High Energy Physics - Theory · Physics 2007-05-23 Yi-Xin Chen

In this paper we perform canonical quantization of the product of the gauged WZW models on a strip with boundary conditions specified by permutation branes. We show that the phase space of the $N$-fold product of the gauged WZW model $G/H$…

High Energy Physics - Theory · Physics 2023-04-12 Gor Sarkissian

We investigate the Wightman function, the mean field squared and the vacuum expectation values of energy-momentum tensor for a scalar field in AdS spacetime, in the presence of a brane perpendicular to the AdS boundary. On the brane the…

High Energy Physics - Theory · Physics 2015-11-11 E. R. Bezerra de Mello , A. A. Saharian , M. R. Setare

Yang-Mills theory in AdS$_{4}$ with Dirichlet boundary conditions is expected to undergo a transition as the AdS radius varies, since the boundary data is incompatible with confinement in flat space. Various mechanisms have been proposed…

High Energy Physics - Theory · Physics 2025-12-02 Lorenzo Di Pietro , Stefanos R. Kousvos , Marco Meineri , Alessandro Piazza , Marco Serone , Alessandro Vichi

There are two natural Chern-Simons theories associated with the embedding of a three-dimensional surface in Euclidean space; one is constructed using the induced metric connection -- it involves only the intrinsic geometry, the other is…

High Energy Physics - Theory · Physics 2008-11-26 Jemal Guven

This paper constructs in the framework of algebraic quantum field theory (AQFT) the linear Chern-Simons/Wess-Zumino-Witten system on a class of $3$-manifolds $M$ whose boundary $\partial M$ is endowed with a Lorentzian metric. It is proven…

Mathematical Physics · Physics 2023-12-15 Marco Benini , Alastair Grant-Stuart , Alexander Schenkel

We develop the method of Green's function to evaluate the one loop determinants that arise in localization of supersymmetric field theories on $AdS$ spaces. The theories we study have at least ${\cal N}=2$ supersymmetry and normalisable…

High Energy Physics - Theory · Physics 2020-03-18 Justin R. David , Edi Gava , Rajesh Kumar Gupta , Kumar Narain

We revisit various topological issues concerning four-dimensional ungauged and gauged Wess-Zumino-Witten (WZW) terms for $SU$ and $SO$ quantum chromodynamics (QCD), from the modern bordism point of view. We explain, for example, why the…

High Energy Physics - Theory · Physics 2021-03-10 Yasunori Lee , Kantaro Ohmori , Yuji Tachikawa

We explicitly rewrite the path integral for the free or critical $O(N)$ (or $U(N)$) bosonic vector models in $d$ space-time dimensions as a path integral over fields (including massless high-spin fields) living on ($d+1$)-dimensional…

High Energy Physics - Theory · Physics 2022-03-23 Ofer Aharony , Shai M. Chester , Erez Y. Urbach