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Motivated by structural issues in the AdS-CFT correspondence, the theory of generalized free fields is reconsidered. A stress-energy tensor for the generalized free field is constructed as a limit of Wightman fields. Although this limit is…

Mathematical Physics · Physics 2008-11-26 M. Duetsch , K. -H. Rehren

We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the…

High Energy Physics - Theory · Physics 2018-04-04 Anatoly Dymarsky , Filip Kos , Petr Kravchuk , David Poland , David Simmons-Duffin

We consider a classical XY-like Hamiltonian on a body-centered tetragonal lattice, focusing on the role of interlayer frustration. A three-dimensional (3D) ordered phase is realized via thermal fluctuations, breaking the mirror-image…

Strongly Correlated Electrons · Physics 2012-03-12 Yoshitomo Kamiya , Naoki Kawashima , Cristian D. Batista

We study correlation functions involving generalized ANEC operators of the form $\int dx^- \left(x^-\right)^{n+2} T_{--}(\vec{x})$ in four dimensions. We compute two, three, and four-point functions involving external scalar states in both…

High Energy Physics - Theory · Physics 2021-05-19 Alexandre Belin , Diego M. Hofman , Grégoire Mathys , Matthew T. Walters

A set of lattice operators for the energy-momentum (EM) tensor in the Ising CFT is derived in the spin variables. Our expression works under arbitrary affine transformation both on triangular and hexagonal lattices (where the former…

High Energy Physics - Lattice · Physics 2025-05-14 Richard C. Brower , George T. Fleming , Nobuyuki Matsumoto , Rohan Misra

We probe the conformal block structure of a scalar four-point function in $d\geq2$ conformal field theories by including higher-order derivative terms in a bulk gravitational action. We consider a heavy-light four-point function as the…

High Energy Physics - Theory · Physics 2019-08-27 A. Liam Fitzpatrick , Kuo-Wei Huang

Surface operators are among the most important observables of the 6d $\mathcal{N} = (2,0)$ theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the…

High Energy Physics - Theory · Physics 2021-04-01 Nadav Drukker , Malte Probst , Maxime Trépanier

Using light-cone gauge approach, bosonic and fermionic massive and partially-massless fields in AdS(4) space are considered. For such fields, light-cone gauge action is presented. Considering the massive and partially-massless fields in…

High Energy Physics - Theory · Physics 2023-05-19 R. R. Metsaev

We show that for a unitary modular invariant 2D CFT with central charge $c>1$ and having a nonzero twist gap in the spectrum of Virasoro primaries, for sufficiently large spin $J$, there always exist spin-$J$ operators with twist falling in…

High Energy Physics - Theory · Physics 2024-10-14 Sridip Pal , Jiaxin Qiao

Light-cone form of field dynamics in anti-de Sitter space-time is developed. Using field theoretic and group theoretic approaches the light-cone representation for generators of anti-de Sitter algebra acting as differential operators on…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

The stress tensor sector of a heavy-heavy-light-light scalar correlator in CFTs with a large central charge and a large gap is defined by the exchange of multi-stress tensor operators. The Regge limit of this correlator is determined by the…

High Energy Physics - Theory · Physics 2020-08-26 Robin Karlsson

Spin fluctuation in LiV2O4 is revisited by examining the earlier result of muon spin rotation/ relaxation measurements. Instead of a relationship for the localized electron limit, one for itinerant electron systems between muon…

Strongly Correlated Electrons · Physics 2011-12-19 R. Kadono , A. Koda , W. Higemoto , K. Ohishi , H. Ueda , C. Urano , S. Kondo , M. Nohara , H. Takagi

We study the two-point function of the stress-tensor multiplet of $\mathcal{N}=4$ SYM in the presence of a line defect. To be more precise, we focus on the single-trace operator of conformal dimension two that sits in the $20'$ irrep of the…

High Energy Physics - Theory · Physics 2023-01-11 Julien Barrat , Pedro Liendo , Jan Plefka

We propose a quasi-local stress tensor for the four-dimensional asymptotically flat Robinson-Trautman geometries by taking the flat-space limit from the corresponding asymptotically AdS solutions. This stress tensor results in the correct…

High Energy Physics - Theory · Physics 2020-01-08 Reza Fareghbal , Isa Mohammadi

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave…

High Energy Physics - Theory · Physics 2007-05-23 L. Hoffmann , A. C. Petkou , W. Ruehl

We investigate stress-energy tensors constructed from the covariant derivatives of delta functions on a worldline. Since covariant derivatives are used all the components transform as tensors. We derive the dynamical equations for the…

Mathematical Physics · Physics 2023-04-05 Jonathan Gratus , Spyridon Talaganis

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig

We present a study of the correlation function of three stress-energy tensors in $d$ dimensions using free field theory realizations, and compare them to the exact solutions of their conformal Ward identities (CWI's) obtained by a general…

High Energy Physics - Theory · Physics 2018-11-14 Claudio Coriano , Matteo Maria Maglio

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

We study the operator product expansion (OPE) of two identical scalar primary operators in the lightcone limit in a conformal field theory where a scalar is the operator with lowest twist. We see that in CFTs where both the stress tensor…

High Energy Physics - Theory · Physics 2020-03-11 Atanu Bhatta , Soham Ray