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We use the AdS/CFT correspondence to study a thermally isolated conformal field theory in four dimensions which undergoes a repeated deformation by an external periodic time-dependent source coupled to an operator of dimension Delta. The…

High Energy Physics - Theory · Physics 2013-12-03 Roberto Auzzi , Shmuel Elitzur , Sven Bjarke Gudnason , Eliezer Rabinovici

We formulate a holographic description of effects of disorder in conformal field theories based on the replica method and the AdS/CFT correspondence. Starting with $n$ copies of conformal field theories, randomness with a gaussian…

High Energy Physics - Theory · Physics 2009-01-22 Mitsutoshi Fujita , Yasuaki Hikida , Shinsei Ryu , Tadashi Takayanagi

We consider conformal perturbation theory for $n$-point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate perturbation integrals using canonical hard disk excisions of size $\epsilon$ around the…

High Energy Physics - Theory · Physics 2023-12-22 Benjamin A. Burrington , Ida G. Zadeh

We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the…

High Energy Physics - Theory · Physics 2016-07-08 David Berenstein , Alexandra Miller

We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large…

High Energy Physics - Theory · Physics 2009-10-16 Diego M. Hofman , Juan Maldacena

The requirements of conformal invariance for two and three point functions for general dimension $d$ on flat space are investigated. A compact group theoretic construction of the three point function for arbitrary spin fields is presented…

High Energy Physics - Theory · Physics 2008-11-26 H. Osborn , A. Petkos

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

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 consider a conformal field theory in two dimensions in which an external perturbation is placed. We study the energy flux and entanglement entropy for one, two and multiple intervals and give a suggestion relating the two in some cases.…

High Energy Physics - Theory · Physics 2017-11-01 Talya Vaknin

The existence of an exactly marginal deformation in a conformal field theory is very special, but it is not well understood how this is reflected in the allowed dimensions and OPE coefficients of local operators. To shed light on this…

High Energy Physics - Theory · Physics 2018-03-28 Connor Behan

We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational invariant Hamiltonian (a local quench),…

Statistical Mechanics · Physics 2009-11-13 Pasquale Calabrese , John Cardy

In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

High Energy Physics - Theory · Physics 2016-11-04 Satoshi Ohya

We find classes of driven conformal field theories (CFT) in d + 1 dimensions with d > 1, whose quench and Floquet dynamics can be computed exactly. The setup is suitable for studying periodic drives, consisting of square pulse protocols for…

High Energy Physics - Theory · Physics 2024-09-23 Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta

Conformal symmetry provides a systematic approximation to QCD in both its perturbative and nonperturbative domains. One can use the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories to obtain an analytically…

High Energy Physics - Phenomenology · Physics 2009-11-13 Stanley J. Brodsky

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

We perform conformal perturbation theory by marginal operators to first order. A suitable renormalization method is needed that makes the conformal invariance of the deformed correlation functions manifest. Combining the embedding space…

High Energy Physics - Theory · Physics 2018-02-27 Kallol Sen , Yuji Tachikawa

An improved correspondence formula is proposed for the calculation of correlation functions of a conformal field theory perturbed by multi-trace operators from the analysis of the dynamics of the dual field theory in Anti-de Sitter space.…

High Energy Physics - Theory · Physics 2016-09-06 Wolfgang Mueck

We consider theories with time-dependent Hamiltonians which alternate between being bounded and unbounded from below. For appropriate frequencies dynamical stabilization can occur rendering the effective potential of the system stable. We…

High Energy Physics - Theory · Physics 2012-08-13 Roberto Auzzi , Shmuel Elitzur , Sven Bjarke Gudnason , Eliezer Rabinovici

We review aspects of certain time-dependent deformations of $AdS/CFT$ containing cosmological singularities and their gauge theory duals. Towards understanding these solutions better, we explore similar singular deformations of de Sitter…

High Energy Physics - Theory · Physics 2012-04-17 K. Narayan

Light-cone formulation of conformal field theory in space-time of arbitrary dimension is developed. Conformal fundamental and shadow fields with arbitrary conformal dimension and arbitrary spin are studied. Representation of conformal…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev
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