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We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of $N$,…

统计力学 · 物理学 2008-04-24 Nickolay Sh. Izmailian , Vyatcheslav B. Priezzhev , Philippe Ruelle

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries…

高能物理 - 理论 · 物理学 2009-02-23 R. R. Metsaev

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…

高能物理 - 理论 · 物理学 2015-06-19 Diego M. Hofman , Blaise Rollier

We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a…

高能物理 - 理论 · 物理学 2009-10-31 Adel M. Awad , Clifford V. Johnson

In the framework of gauge invariant approach involving Stueckelberg and auxiliary fields, totally symmetric arbitrary spin anomalous conformal current and shadow field in flat space-time of dimension greater than or equal to four are…

高能物理 - 理论 · 物理学 2013-05-30 R. R. Metsaev

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain…

高能物理 - 理论 · 物理学 2009-11-10 W. Ruehl

Warped conformal field theories in two dimensions are exotic nonlocal, Lorentz violating field theories characterized by Virasoro-Kac-Moody symmetries and have attracted a lot of attention as candidate boundary duals to warped AdS$_3$…

高能物理 - 理论 · 物理学 2023-01-19 Arpan Bhattacharyya , Gaurav Katoch , Shubho R. Roy

The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-\epsilon$ dimensions using the…

高能物理 - 理论 · 物理学 2025-07-31 Simone Giombi , Zimo Sun

After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In the spirit of two dimensional conformal…

高能物理 - 理论 · 物理学 2010-12-09 Glenn Barnich , Cedric Troessaert

We discuss an exact time dependent O(3) symmetric solution with a horizon of the 5d AdS classical gravity equations searching for a 4d boundary theory which would correspond to expanding gauge theory matter. The boundary energy-momentum…

高能物理 - 理论 · 物理学 2008-11-26 K. Kajantie , T. Tahkokallio

We study deformations of three-dimensional large N CFTs by double-trace operators constructed from spin s single-trace operators of dimension \Delta. These theories possess UV fixed points, and we calculate the change of the 3-sphere free…

高能物理 - 理论 · 物理学 2015-06-16 Simone Giombi , Igor R. Klebanov , Silviu S. Pufu , Benjamin R. Safdi , Grigory Tarnopolsky

We develop a systematic framework to compute the conformal partial wave expansions (CPWEs) of tree-level four-point Witten diagrams with totally symmetric external fields of arbitrary mass and integer spin in AdS$_{d+1}$. Employing this…

高能物理 - 理论 · 物理学 2017-08-02 Charlotte Sleight , Massimo Taronna

We provide a new general setting for scalar interacting fields on the covering of a d+1-dimensional AdS spacetime. The formalism is used at first to construct a one-paramater family of field theories, each living on a corresponding…

高能物理 - 理论 · 物理学 2007-05-23 M. Bertola , J. Bros , U. Moschella , R. Schaeffer

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by…

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

高能物理 - 理论 · 物理学 2017-05-24 Dalimil Mazac

We discuss an enhancement of the Brown-Henneaux boundary conditions in three-dimensional AdS General Relativity to encompass Weyl transformations of the boundary metric. The resulting asymptotic symmetry algebra, after a field-dependent…

高能物理 - 理论 · 物理学 2021-10-13 Francesco Alessio , Glenn Barnich , Luca Ciambelli , Pujian Mao , Romain Ruzziconi

Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman…

数学物理 · 物理学 2011-04-14 Harald Grosse , Gandalf Lechner

In the 2022 study, together with Paul McFadden and Kostas Skenderis, I analyzed tree-level 3- and 4-point Witten diagrams (amplitudes) of scalar operators in anti-de Sitter space in momentum space. This paper constitutes its extension to…

高能物理 - 理论 · 物理学 2023-12-20 Adam Bzowski

Holographic Conformal Field Theories (CFTs) are usually studied in a limit where the gravity description is weakly coupled. By contrast, lattice quantum field theory can be used as a tool for doing computations in a wider class of…

高能物理 - 理论 · 物理学 2021-05-19 Richard C. Brower , Cameron V. Cogburn , A. Liam Fitzpatrick , Dean Howarth , Chung-I Tan

Two sets of modes of a massive free scalar field are quantized in a pair of Poincar\'e patches of Lorentzian anti-de Sitter (AdS) space, AdS$_{d+1}$ ($d \geq 2$). It is shown that in Poincar\'e coordinates $(r,t,\vec{x})$, the two…

高能物理 - 理论 · 物理学 2015-06-19 Ippei Fujisawa , Ryuichi Nakayama