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We consider conformal and 't Hooft anomalies in six-dimensional ${\cal N}=(1,0)$ superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and $SU(2)_R$…

高能物理 - 理论 · 物理学 2020-08-26 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

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.

高能物理 - 理论 · 物理学 2007-05-23 Sze-Shiang Feng , Mu-Lin Yan

The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. A holographic model based on a truncated AdS space can be used to obtain the hadronic…

高能物理 - 唯象学 · 物理学 2009-09-11 S. J. Brodsky , G. F. de Teramond

N = 6 superconformal Chern-Simons theory was proposed as gauge theory dual to Type IIA string theory on AdS4*CP3. We study integrability of the theory from conformal dimension spectrum of single trace operators at planar limit. At strong `t…

高能物理 - 理论 · 物理学 2009-02-09 Dongsu Bak , Soo-Jong Rey

The Gross-Neveu model defines a unitary CFT of interacting fermions in $2<d<4$ which has perturbative descriptions in the $1/N$ expansion and in the epsilon-expansion near two and four dimensions. In each of these descriptions, the CFT has…

高能物理 - 理论 · 物理学 2017-09-18 S. Giombi , V. Kirilin , E. Skvortsov

Non-relativistic versions of the AdS/CFT conjecture have recently been investigated in some detail. These have primarily been in the context of the Schrodinger symmetry group. Here we initiate a study based on a {\it different}…

高能物理 - 理论 · 物理学 2009-07-22 Arjun Bagchi , Rajesh Gopakumar

Assuming the existence of the dS/CFT correspondence, we construct local scalar fields with $m^2>\left( \frac{d}{2} \right)^2$ in de Sitter space by smearing over conformal field theory operators on the future/past boundary. To maintain bulk…

高能物理 - 理论 · 物理学 2014-07-24 Xiao Xiao

We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of…

高能物理 - 理论 · 物理学 2017-03-08 Clifford Cheung , Karol Kampf , Jiri Novotny , Chia-Hsien Shen , Jaroslav Trnka

In the context of the AdS$_3$/CFT$_2$ correspondence, we investigate the Higgs branch CFT$_2$. Witten showed that states localised near the small instanton singularity can be described in terms of vector multiplet variables. This theory has…

高能物理 - 理论 · 物理学 2015-05-08 Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the…

高能物理 - 理论 · 物理学 2009-10-31 Vijay Balasubramanian , Eric Gimon , Djordje Minic , Joachim Rahmfeld

The swampland program of delineating the space of effective field theories consistent with quantum gravity appears similar to the bootstrap program of delineating the space of quantum field theories consistent with conformal symmetry. With…

高能物理 - 理论 · 物理学 2019-03-27 Joseph P. Conlon , Fernando Quevedo

We derive a bound on the conformal dimensions of the lightest few states in general unitary 2d conformal field theories with discrete spectra using modular invariance, including CFTs with chiral currents. We derive a bound on the conformal…

高能物理 - 理论 · 物理学 2015-08-04 Joshua D. Qualls

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

高能物理 - 理论 · 物理学 2022-01-25 Francesco Aprile , Michele Santagata

We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis on analyses…

高能物理 - 理论 · 物理学 2015-05-20 C. Sieg

The cusp anomalous dimension is a ubiquitous quantity in four-dimensional gauge theories, ranging from QCD to maximally supersymmetric N=4 Yang-Mills theory, and it is one of the best investigated observables in the AdS/CFT correspondence.…

高能物理 - 理论 · 物理学 2009-06-19 B. Basso , G. P. Korchemsky

We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d-1 spatial dimensions and gravitational theories in AdS_{d+2} backgrounds with one compactified lightlike direction. The breaking of the maximal…

高能物理 - 理论 · 物理学 2011-07-05 Walter D. Goldberger

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

高能物理 - 理论 · 物理学 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We incorporate the microscopic assumptions that lead to a certain generalization of the Lieb-Schultz-Mattis (LSM) theorem for one-dimensional spin chains into the conformal bootstrap. Our approach accounts for the "LSM anomaly" possessed by…

强关联电子 · 物理学 2023-05-31 Ryan A. Lanzetta , Lukasz Fidkowski

The AdS_3/CFT_2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2- and 3-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x…

高能物理 - 理论 · 物理学 2010-10-27 Matthias R. Gaberdiel , Ingo Kirsch

In order to study the effect of the anti de Sitter/ conformal field theory correspondence (AdS/CFT) on the primordial inflationary era, we consider a universe filled with a tachyon field in a slow-roll regime. In this context, the…

高能物理 - 理论 · 物理学 2016-12-14 Zahra Bouabdallaoui , Ahmed Errahmani , Mariam Bouhmadi-Lopez , Taoufik Ouali