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The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Theory · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

We use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed $p$-adic AdS/CFT correspondence (a holographic duality based on the $p$-adic number field $\mathbb{Q}_p$). Instead of assuming…

High Energy Physics - Theory · Physics 2018-02-02 Arpan Bhattacharyya , Ling-Yan Hung , Yang Lei , Wei Li

Real Clifford algebras for arbitrary number of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed. The Clifford algebras are classified in terms of isomorphic matrix algebras of real,…

High Energy Physics - Theory · Physics 2019-08-07 Stefan Floerchinger

We apply a physical principle, previously used to eliminate ambiguities in quantum corrections to the 2 dimensional kink, to the case of spinning strings moving in $AdS_4\times \mathbb{CP}^3$, thought of as another kind of two dimensional…

High Energy Physics - Theory · Physics 2015-06-04 Cristhiam Lopez-Arcos , Horatiu Nastase

We propose a connection between conformal field theory (CFT) and the exact solution and integrability of the reduced BCS model of superconductivity. The relevant CFT is given by the $SU(2)_k$-WZW model in the singular limit when the level k…

High Energy Physics - Theory · Physics 2009-10-31 German Sierra

We compute the four point function of scalar fields in AdS$_3$ charged under $U(1)$ Chern-Simons fields using the bulk version of the operator state mapping. Then we show how this four point function is reproduced from a CFT$_2$ with a…

High Energy Physics - Theory · Physics 2014-03-28 Ville Keranen

We study oscillons in a real scalar field theory in a (3+1)-dimensional AdS space with global coordinates. The initial configuration is given by a Gaussian shape with an appropriate core size as in Minkowski spacetime. The solution exhibits…

High Energy Physics - Theory · Physics 2025-05-20 Takaaki Ishii , Takaki Matsumoto , Kanta Nakano , Ryosuke Suda , Kentaroh Yoshida

We show that toroidal compactification of type II string theory to six dimensions admits axionic euclidean wormhole solutions. These wormholes can be inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a well-defined CFT…

High Energy Physics - Theory · Physics 2009-04-22 Nima Arkani-Hamed , Jacopo Orgera , Joseph Polchinski

In the current study, authors present the comprehensive analysis of the Anti-de Sitter/Boundary Conformal Field Theory (AdS/BCFT) correspondence for Lovelock theory of second order in the presence of canonical (and real) scalar field…

High Energy Physics - Theory · Physics 2022-06-10 Oleksii Sokoliuk , Fabiano F. Santos , Alexander Baransky

We show how some features of the AdS/CFT correspondence for AdS_3 can easily be understood via standard world-sheet methods and 2d gravity like scaling arguments. To do this, we propose a stringy way for perturbing two-dimensional CFT's…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Andreev

A set of two-parameter bi-orthogonal eigen-spinors has been constructed from a deformed pseudo- Hermitian extension of Pauli Hamiltonian and its Hermitian conjugate. The Hamiltonians thus obtained are iso-spectral to the original Pauli…

Mathematical Physics · Physics 2022-12-06 Arindam Chakraborty

We explore analytical aspects of correlators involving Dirac spinors in $d+1$- dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to…

High Energy Physics - Theory · Physics 2023-06-23 Vladimir Schaub

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

In this work, we revisit the operator-state correspondence in the Majorana conformal field theory (CFT) with emphasis on its semion representation. Whereas the semion representation (or $Z_{2}$ extension of the chiral Ising CFT) gives a…

High Energy Physics - Theory · Physics 2025-05-14 Yoshiki Fukusumi , Guangyue Ji , Bo Yang

We give a brief review of the AdS/CFT correspondence, which posits the equivalence between a certain gravitational theory and a lower-dimensional non-gravitational one. This remarkable duality, formulated in 1997, has sparked a vigorous…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Veronika E. Hubeny

We study correlation functions of elementary fermions in strongly interacting field theories using the AdS/CFT correspondence. This correspondence generically associates bulk fields to composite operators in field theory. We modify the…

High Energy Physics - Theory · Physics 2015-06-03 Umut Gursoy , Erik Plauschinn , Henk Stoof , Stefan Vandoren

We discuss analytic continuation from d-dimensional Lorentzian de Sitter (dS$_d$) to d-dimensional Lorentzian anti-de Sitter (AdS$_{d}$) spacetime. We show that AdS$_{d}$, with opposite signature of the metric, can be obtained as analytic…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta

An information-geometrical interpretation of AdS3/CFT2 correspondence is given. In particular, we consider an inverse problem in which the classical spacetime metric is given in advance and then we find what is the proper quantum…

High Energy Physics - Theory · Physics 2014-08-28 Hiroaki Matsueda

We define and study asymptotic Killing and conformal Killing vectors in $d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm AdS}_2\times S^{d-2}$. We construct the associated quantum charges for an arbitrary CFT and show…

High Energy Physics - Theory · Physics 2020-12-25 Laura Donnay , Gaston Giribet , Felipe Rosso

In the first part of the paper, we discuss different versions of the AdS/CFT dictionary out of equilibrium. We show that the Skenderis - van Rees prescription and the "extrapolate" dictionary are equivalent at the level of "in-in" two point…

High Energy Physics - Theory · Physics 2015-04-28 Ville Keranen , Philipp Kleinert