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This monograph provides a largely self--contained and broadly accessible exposition of two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Thomas-Paul Hack

Even though quantum chromodynamics is a broken conformal theory, the AdS/CFT correspondence has led to important insights into the properties of QCD. For example, as shown by Polchinski and Strassler, dimensional counting rules for the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Guy F. de Teramond

A proposal to describe gravity duals of conformal theories with boundaries (AdS/BCFT correspondence) was put forward by Takayanagi few years ago. However interesting solutions describing field theories at finite temperature and charge…

High Energy Physics - Theory · Physics 2015-06-22 Javier M. Magán , Dmitry Melnikov , Madson R. O. Silva

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is…

High Energy Physics - Theory · Physics 2020-08-20 Sanjit Shashi

We study the quantum-mechanical corrections to two point particles accelerated by a strut in a 2+1 D flat background. Since the particles are accelerating, we use finite temperature techniques to compute the Green's function of a…

High Energy Physics - Theory · Physics 2008-11-26 Mohamed M. Anber

The large N behavior of Matrix theory is discussed on the basis of the previously proposed generalized conformal symmetry. The concept of `oblique' AdS/CFT correspondence, in which the conformal symmetry involves both the space-time…

High Energy Physics - Theory · Physics 2011-04-15 Tamiaki Yoneya

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

The primary aim of these lecture notes is to introduce the modern approach to two-dimensional conformal field theory (2D CFT). The study of analytical methods in two-dimensional conformal field theory has developed over several decades,…

High Energy Physics - Theory · Physics 2025-08-20 Yuya Kusuki

We investigate black hole formation by a spherically collapsing thin shell of matter in AdS space. This process has been suggested to have a holographic interpretation as thermalization of the CFT on the boundary of the AdS space. The…

High Energy Physics - Theory · Physics 2009-10-31 Ulf H. Danielsson , Esko Keski-Vakkuri , Martin Kruczenski

We present a detailed analysis of $AdS_3$ gravity, the BTZ black hole and the associated conformal field theories (CFTs). In particular we focus on the non-extreme six-dimensional string solution with background metric $AdS_3 \times S^3$…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Behrndt , Ilka Brunner , Ingo Gaida

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). We present an…

High Energy Physics - Phenomenology · Physics 2014-11-05 Sean P. Bartz , Joseph I. Kapusta

It is observed and illustrated in a greatly simplified example that the idea of AdS/QFT duality can be considered a special case of the Ehrenfest's correspondence principle between classical and quantum mechanics in the context of…

High Energy Physics - Phenomenology · Physics 2013-12-04 Stanisław D. Głazek , Arkadiusz P. Trawiński

We propose a new non-holographic formulation of AdS/CFT correspondence, according to which quantum gravity on AdS and its dual non-gravitational field theory both live in the same number D of dimensions. The field theory, however, appears…

High Energy Physics - Theory · Physics 2015-07-03 H. Nikolic

Due to the AdS/CFT correspondence the question of instability of Anti-de-Sitter spacetimes sits in the intersection of mathematical and numerical relativity, string theory, field theory and condensed matter physics. In this essay we revisit…

High Energy Physics - Theory · Physics 2015-06-05 H. P. de Oliveira , Leopoldo A. Pando Zayas , Cesar A. Terrero-Escalante

We use the AdS/CFT correspondence to discuss the response of an accelerated observer to the quantum vacuum fluctuations. In particular, we study heavy quarks probing a strongly coupled CFT by analysing strings moving in AdS. We propose…

High Energy Physics - Theory · Physics 2011-03-28 Mariano Chernicoff , Angel Paredes

Four lectures on holography and the AdS/CFT correspondence applied to condensed matter systems. The first lecture introduces the concept of a quantum phase transition. The second lecture discusses linear response theory and Ward identities.…

High Energy Physics - Theory · Physics 2009-08-12 Christopher P. Herzog

I review the relationship between AdS/CFT (anti-de Sitter / conformal field theory) dualities and the general theory of positive energy unitary representations of non-compact space-time groups and supergroups. I show, in particular, how one…

High Energy Physics - Theory · Physics 2007-05-23 Murat Gunaydin

We consider AdS/CFT correspondence for time-dependent \II B backgrounds in this paper. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also…

High Energy Physics - Theory · Physics 2010-02-03 Chong-Sun Chu , Pei-Ming Ho

These are introductory lectures on the correspondence between SU(N) gauge theories and Superstring Theory in anti-de Sitter geometries (AdS). The subject combines a number of different topics, including supersymmetric field theory,…

High Energy Physics - Theory · Physics 2007-05-23 J. G. Russo

We review how the AdS/CFT correspondence is motivated within string theory, and discuss how it is generalized to gauge/gravity duality. In particular, we highlight the relation to quantum information theory by pointing out that the Fisher…

High Energy Physics - Theory · Physics 2018-07-27 Johanna Erdmenger