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We consider quantum spin chains with a hidden free fermionic structure, distinct from the Jordan-Wigner transformation and its generalizations. We express selected local operators with the hidden fermions. This way we can exactly solve the…

Statistical Mechanics · Physics 2025-04-14 István Vona , Márton Mestyán , Balázs Pozsgay

An outstanding question lying at the core of the AdS/CFT correspondence in string theory is the holographic prescription problem for Einstein metrics, which asserts that one can slightly perturb the conformal geometry at infinity of the…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Alberto Enciso , Niky Kamran

Using the proposed AdS/CFT correspondence, we calculate the correlators of operators of conformal field theory at the boundary of AdS$_{d+1}$ corresponding to the sine-Gordon model in the bulk.

High Energy Physics - Theory · Physics 2007-05-23 Sze-Shiang Feng , Mu-Lin Yan

We provide necessary and sufficient conditions for a Conformal Field Theory to have a description in terms of a perturbative Effective Field Theory in AdS. The first two conditions are well-known: the existence of a perturbative `1/N'…

High Energy Physics - Theory · Physics 2015-06-11 A. Liam Fitzpatrick , Jared Kaplan

The complete solution to the massive Rarita-Schwinger field equation in anti-de Sitter space is constructed, and used in the AdS/CFT correspondence to calculate the correlators for the boundary conformal field theory. It is found that when…

High Energy Physics - Theory · Physics 2009-10-31 P. Matlock , K. S. Viswanathan

We continue our study of string correlators on Euclidean $\text{AdS}_3$ with pure NS-NS flux. The worldsheet and spacetime correlators have a rich analytic structure, which we analyse completely for genus 0 four-point functions. We show…

High Energy Physics - Theory · Physics 2022-09-07 Andrea Dei , Lorenz Eberhardt

This is the draft/updated version of a textbook on "real-world" applications of the AdS/CFT duality for beginning graduate students in particle physics and for researchers in the other fields. The aim of this book is to provide background…

High Energy Physics - Theory · Physics 2016-09-01 Makoto Natsuume

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stanley J. Brodsky

We formulate axioms of conformal theory (CT) in dimensions $>2$ modifying Segal's axioms for two-dimensional CFT. (In the definition of higher-dimensional CFT one includes also a condition of existence of energy-momentum tensor.) We use…

High Energy Physics - Theory · Physics 2016-07-20 Albert Schwarz

Tensor networks give simple representations of complex quantum states. They have proven useful in the study of condensed matter systems and conformal fields, and recently have provided toy models of AdS/CFT. Underlying the tensor network -…

High Energy Physics - Theory · Physics 2017-09-29 Alex May

We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including the spectral problem, the boundary…

High Energy Physics - Theory · Physics 2015-06-04 Marius de Leeuw , Takuya Matsumoto , Sanefumi Moriyama , Vidas Regelskis , Alessandro Torrielli

We extend recent results on semi-classical conformal blocks in 2d CFT and their relation to 3D gravity via the AdS/CFT correspondence. We consider four-point functions with two heavy and two light external operators, along with the exchange…

High Energy Physics - Theory · Physics 2015-04-27 Eliot Hijano , Per Kraus , River Snively

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 find regular axionic Euclidean wormhole solutions in Type IIB string theory compactified on $\text{AdS}_5\times \text{S}^5/\mathbb{Z}_k$. AdS/CFT enables a precise derivation of the axion content of the Euclidean theory, placing the…

High Energy Physics - Theory · Physics 2017-06-28 Thomas Hertog , Mario Trigiante , Thomas Van Riet

We consider the holographic prescription problem in a (Lorentzian) AdS background, deriving from first principles the explicit formulas that relate the field at infinity with the field in the bulk. In contrast with the previous studies of…

Mathematical Physics · Physics 2015-06-04 Alberto Enciso , Niky Kamran

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

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 study the AdS/CFT correspondence with a brane extending in AdS, a setup which is dual to CFT in the presence of a defect. We focus on the correlation function of two local operators and the defect, which is the simplest observable with…

High Energy Physics - Theory · Physics 2023-06-22 Aleix Gimenez-Grau

We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual…

High Energy Physics - Theory · Physics 2015-11-10 Mir Faizal , Ahmed Farag Ali , Ali Nassar

We discuss AdS/CFT duality in the sector of ``semiclassical'' string states with large quantum numbers. We review the coherent-state effective action approach, in which similar 2d sigma model actions appear from the AdS_5 x S^5 string…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin