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We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling by calculating the area of the minimal surfaces in AdS_3 based on the associated thermodynamic Bethe ansatz system. The remainder function…

High Energy Physics - Theory · Physics 2011-10-25 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

We discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric traceless tensors in the presence of the defect.…

High Energy Physics - Theory · Physics 2016-05-26 Marco Billò , Vasco Gonçalves , Edoardo Lauria , Marco Meineri

We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we…

High Energy Physics - Theory · Physics 2014-12-10 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete spins, these can be treated as bosonic Gaussian states, which…

Strongly Correlated Electrons · Physics 2018-10-01 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

We introduce a formalism for conformal field theory in four dimensions: a symplectic bi-Grassmannian representation of CFT$_4$ Wightman correlators. Working in Klein space with off-shell spinor-helicity variables, we show that correlators…

High Energy Physics - Theory · Physics 2026-05-11 Aswini Bala , Sachin Jain , Dhruva K. S

Two dimensional Warped Conformal Field Theories (WCFTs) may represent the simplest examples of field theories without Lorentz invariance that can be described holographically. As such they constitute a natural window into holography in non…

High Energy Physics - Theory · Physics 2015-06-19 Diego M. Hofman , Blaise Rollier

The 4D 4-point scattering amplitude of massless scalars via a massive exchange is expressed in a basis of conformal primary particle wavefunctions. This celestial amplitude is expanded in a basis of 2D conformal partial waves on the unitary…

High Energy Physics - Theory · Physics 2022-01-12 Alexander Atanasov , Walker Melton , Ana-Maria Raclariu , Andrew Strominger

We extend the work of \cite{Ferrara:1971vh},\cite{Ferrara:1973vz}, to obtain an integral expression of OPE blocks for spinning primaries in CFT$_{2}$. We observe, when the OPE blocks are made out of conserved spinning primaries, the…

High Energy Physics - Theory · Physics 2019-04-15 Suchetan Das

All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary coset Conformal Field Theories, i.e., gauged Wess-Zumino-Witten (WZW) models with compact gauge groups. In this paper we use subfactor theory and…

Operator Algebras · Mathematics 2009-10-31 Feng Xu

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

We begin by explicating a recent proof of the cluster decomposition principle in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes the leading interactions between distant objects in AdS, and we confirm the…

High Energy Physics - Theory · Physics 2014-09-17 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

We formulate a set of consistency conditions appropriate to worldsheet form factors in the massive, integrable but non-relativistic, light-cone gauge fixed AdS(5) x S**5 string theory. We then perturbatively verify that these conditions…

High Energy Physics - Theory · Physics 2013-07-31 Thomas Klose , Tristan McLoughlin

Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the ``exotic'' two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map.…

High Energy Physics - Theory · Physics 2010-04-05 P. A. Horvathy , L. Martina , P. C. Stichel

Set of analytic solutions of the geodesic equation in a spherical conformal spacetime is presented. Solutions of this geodesics can be expressed in terms of the Weierstrass {\wp} function and the Kleinian {\sigma} function. Using conserved…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Bahareh Hoseini , Reza Saffari , Saheb Soroushfar

The cutoff version of the AdS/CFT correspondence states that the Randall Sundrum scenario is dual to a Conformal Field Theory (CFT) coupled to gravity in four dimensions. The gravitational field produced by relativistic domain walls can be…

High Energy Physics - Theory · Physics 2009-12-15 Luca Grisa , Oriol Pujolas

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

We have shown that a particular class of non-local free field theory has conformal symmetry in arbitrary dimensions. Using the local field theory counterpart of this class, we have found the Noether currents and Ward identities of the…

High Energy Physics - Theory · Physics 2015-05-27 M. A. Rajabpour

We examine the correspondence between the anti-de Sitter (AdS) description of conformal field theories (CFTs) and the unparticle description of CFTs. We show how unparticle actions are equivalent to holographic boundary actions for fields…

High Energy Physics - Phenomenology · Physics 2010-03-18 Giacomo Cacciapaglia , Guido Marandella , John Terning

An explicit analytic formula is presented that computes the conformal (super-)block decomposition of any free scalar or half-BPS diagram in 1d, 2d or 4d CFTs, with various supersymmetries, including none. We prove our formula by exploiting…

High Energy Physics - Theory · Physics 2025-02-21 F. Aprile , J. M. Drummond , P. J. Heslop , M. Santagata

We compute conformal correlation functions with spinor, tensor, and spinor-tensor primary fields in general dimensions with Euclidean and Lorentzian metrics. The spinors are taken to be Dirac spinors, which exist for any dimensions. For…

High Energy Physics - Theory · Physics 2019-07-16 Hiroshi Isono
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