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We discuss non-commutative field theories in coordinate space. To do so we introduce pseudo-localized operators that represent interesting position dependent (gauge invariant) observables. The formalism may be applied to arbitrary field…

高能物理 - 理论 · 物理学 2007-05-23 David Berenstein , Robert G. Leigh

Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of…

高能物理 - 理论 · 物理学 2009-10-08 Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We discuss twisted states of AdS orbifolds which couple to N=2 chiral primary operators not invariant under exchange of the gauge factors. Kaluza-Klein reduction on the fixed circle gives the correct conformal dimensions of operators in the…

高能物理 - 理论 · 物理学 2009-10-31 Sergei Gukov

It's well known that in conformal theories the two- and three-point functions of a subset of the local operators-the conformal primaries-suffice, via the operator product expansion (OPE), to determine all local correlation functions of…

高能物理 - 理论 · 物理学 2014-05-01 Jean-François Fortin , Kenneth Intriligator , Andreas Stergiou

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a…

高能物理 - 理论 · 物理学 2011-10-06 Plamen Bozhilov

We numerically study the crossing symmetry constraints in 4D CFTs, using previously introduced algorithms based on semidefinite programming. We study bounds on OPE coefficients of tensor operators as a function of their scaling dimension…

高能物理 - 理论 · 物理学 2015-06-22 Francesco Caracciolo , Alejandro Castedo Echeverri , Benedict von Harling , Marco Serone

Using conformal field theoretic methods we calculate correlation functions of geometric observables in the loop representation of the O(n) model at the critical point. We focus on correlation functions containing twist operators, combining…

数学物理 · 物理学 2009-06-10 Jacob J. H. Simmons , John Cardy

We study the map between two descriptions of the $T\bar{T}$ deformation of conformal field theory (CFT): One is the defining description as a deformation of CFT by the $T\bar{T}$-operator. The other is an alternative description as the…

高能物理 - 理论 · 物理学 2024-02-14 Shinji Hirano , Masaki Shigemori

Form factors of composite operators in the SL(2) sector of N=4 SYM theory are studied up to two loops via the on-shell unitarity method. The non-compactness of this subsector implies the novel feature and technical challenge of an unlimited…

高能物理 - 理论 · 物理学 2017-01-06 Florian Loebbert , Christoph Sieg , Matthias Wilhelm , Gang Yang

We present a calculation of three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the…

高能物理 - 理论 · 物理学 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure…

高能物理 - 理论 · 物理学 2011-08-03 M. Maio , A. N. Schellekens

We derive general bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and N=1 superconformal field theories. In any CFT containing a scalar primary phi of dimension d we show that crossing symmetry of <phi…

高能物理 - 理论 · 物理学 2011-05-09 David Poland , David Simmons-Duffin

In this work, we explore the twist operator OPEs of a generic bosonic symmetric product ($S_N$) orbifold CFT. We conjecture that at large $N$ the OPE of bare twist operators contains only bare twists and excitations of bare twists with…

高能物理 - 理论 · 物理学 2018-09-26 Benjamin A. Burrington , Ian T. Jardine , Amanda W. Peet

We study two-dimensional conformal field theories generated from a ``symplectic fermion'' - a free two-component fermion field of spin one - and construct the maximal local supersymmetric conformal field theory generated from it. This…

高能物理 - 理论 · 物理学 2011-05-05 Horst G. Kausch

Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre-…

高能物理 - 理论 · 物理学 2018-09-20 Davide Gaiotto

We continue the study of the bosonic $O(N)^3$ model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant $\phi^4$ composite operators, known as tetrahedron, pillow and double-trace. As…

高能物理 - 理论 · 物理学 2020-06-23 Dario Benedetti , Razvan Gurau , Kenta Suzuki

We study the decoupling of high dimension operators from the the description of the low-energy spectrum in theories where conformal symmetry is broken by a single scale, which we refer to as `broken CFTs'. Holographic duality suggests that…

高能物理 - 理论 · 物理学 2013-04-15 A. Liam Fitzpatrick , Jared Kaplan , Emanuel Katz , Lisa Randall

We propose CFT descriptions of the D1/D5 system in a class of freely acting Z_2 orbifolds/orientifolds of type IIB theory, with sixteen unbroken supercharges. The CFTs describing D1/D5 systems involve N=(4,4) or N=(4,0) sigma models on…

高能物理 - 理论 · 物理学 2009-10-31 E. Gava , A. B. Hammou , J. F. Morales , K. S. Narain

We derive the basic correlation functions of twist fields coming from arbitrary twisted sectors in symmetric $Z_N$ orbifold conformal field theories, keeping all the admissible marginal perturbations, in particular those corresponding to…

高能物理 - 理论 · 物理学 2009-10-22 J. Erler , D. Jungnickel , M. Spalinski , S. Stieberger

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

高能物理 - 理论 · 物理学 2008-11-26 B. Basso , G. P. Korchemsky