scholarly journals On the Trace Anomaly of the Chaudhuri–Choi–Rabinovici Model

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 276
Author(s):  
Yu Nakayama
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Four Dimensions ◽  
Conformal Field ◽  
Trace Anomaly ◽  
Large N ◽  
Marginal Deformation

Recently a non-supersymmetric conformal field theory with an exactly marginal deformation in the large N limit was constructed by Chaudhuri–Choi–Rabinovici. On a non-supersymmetric conformal manifold, the c coefficient of the trace anomaly in four dimensions would generically change. In this model, we, however, find that it does not change in the first non-trivial order given by three-loop diagrams.

scholarly journals TOWARD A CONFORMAL FIELD THEORY FOR THE QUANTUM HALL EFFECT

1992 ◽  
Vol 06 (19) ◽  
pp. 3235-3247
Author(s):  
GREG NAGAO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Order Parameter ◽  
Quantum Hall ◽  
Cyclotron Motion ◽  
Conformal Field ◽  
Large N ◽  
Collective Coordinate

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a "current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large N limit. An order parameter is constructed from which the Hamiltonian may be derived. This order parameter may be viewed as either a collective coordinate for a system of N charged particles in a strong magnetic field; or as a field of spins associated with the cyclotron motion of these particles.

SOME LANDAU-GINZBURG MODELS FROM CONFORMAL FIELD THEORY

1990 ◽  
Vol 05 (12) ◽  
pp. 2343-2358 ◽  
Author(s):  
KEKE LI
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Conformal Field Theory ◽  
Current Algebra ◽  
Operator Algebra ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Coset Models ◽  
Marginal Deformation

A method of constructing critical (fixed point) Landau-Ginzburg action from operator algebra is applied to several classes of conformal field theories, including lines of c = 1 models and the coset models based on SU(2) current algebra. For the c = 1 models, the Landau-Ginzberg potential is argued to be physically consistent, and it resembles a modality-one singularity with modal deformation representing exactly the marginal deformation. The potentials for the coset models manifestly possess correct discrete symmetries.

scholarly journals INTEGRABLE CONFORMAL FIELD THEORY IN FOUR DIMENSIONS AND FOURTH-RANK GEOMETRY

1993 ◽  
Vol 02 (04) ◽  
pp. 413-429 ◽  
Author(s):  
VICTOR TAPIA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Critical Dimension ◽  
Conformal Killing ◽  
Infinitely Many Solutions ◽  
Four Dimensions ◽  
Conformal Field ◽  
Killing Equation ◽  
Associated Operators ◽  
Line Elements

We consider the conformal properties of geometries described by higher-rank line elements. A crucial role is played by the conformal Killing equation (CKE). We introduce the concept of null-flat spaces in which the line element can be written as dsr=r!dζ1 … dζr. We then show that, for null-flat spaces, the critical dimension, for which the CKE has infinitely many solutions, is equal to the rank of the metric. Therefore, in order to construct an integrable conformal field theory in four dimensions we need to rely on fourth-rank geometry. We consider the simple model ℒ = ¼ Gμνλρ ∂μ ϕ ∂ν ϕ ∂λ ϕ ∂ρϕ and show that it is an integrable conformal model in four dimensions. Furthermore, the associated operators satisfy a Vir4 algebra.

scholarly journals EXACT SOLUTIONS IN OPEN BOSONIC STRING FIELD THEORY AND MARGINAL DEFORMATION IN CFT

2004 ◽  
Vol 19 (27) ◽  
pp. 4695-4713 ◽  
Author(s):  
J. KLUSOŇ
Keyword(s):  
Field Theory ◽  
Exact Solution ◽  
Conformal Field Theory ◽  
Exact Solutions ◽  
Classical Solution ◽  
String Field Theory ◽  
Equation Of Motion ◽  
Bosonic String ◽  
Conformal Field ◽  
Marginal Deformation

In this paper we continue our study of the exact solution in open bosonic string field theory. We present new solution in the string field theory defined on the background corresponding to the boundary conformal field theory describing D25-brane. Then we will study the fluctuation modes around this solution and we determine their basic properties from the linearized equation of motion of the string field theory defined above the classical solution.

scholarly journals Universality of sparse d > 2 conformal field theory at large N

2017 ◽  
Vol 2017 (3) ◽  
Author(s):  
Alexandre Belin ◽  
Jan de Boer ◽  
Jorrit Kruthoff ◽  
Ben Michel ◽  
Edgar Shaghoulian ◽  
...  
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field ◽  
Large N

scholarly journals Looking at shadows of entanglement wedges

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuya Kusuki ◽  
Yuki Suzuki ◽  
Tadashi Takayanagi ◽  
Koji Umemoto
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
De Sitter ◽  
Conformal Field ◽  
Large N ◽  
Higher Dimensional ◽  
Round Ball ◽  
Wedge Structure ◽  
Free Scalar ◽  
Reduced Density

Abstract We present a new method of deriving shapes of entanglement wedges directly from conformal field theory (CFT) calculations. We point out that a reduced density matrix in holographic CFTs possesses a sharp wedge structure such that inside the wedge we can distinguish two local excitations, while outside we cannot. We can determine this wedge, which we call a CFT wedge, by computing a distinguishability measure. We find that CFT wedges defined by the fidelity or Bures distance as a distinguishability measure coincide perfectly with shadows of entanglement wedges in anti-de Sitter (AdS)/CFT. We confirm this agreement between CFT wedges and entanglement wedges for two-dimensional holographic CFTs where the subsystem is chosen to be an interval or double intervals, as well as higher-dimensional CFTs with a round ball subsystem. On the other hand, if we consider a free scalar CFT, we find that there are no sharp CFT wedges. This shows that sharp entanglement wedges emerge only for holographic CFTs owing to the large-$N$ factorization. We also generalize our analysis to a time-dependent example and to a holographic boundary conformal field theory (AdS/BCFT). Finally, we study other distinguishability measures to define CFT wedges. We observe that some of the measures lead to CFT wedges which slightly deviate from the entanglement wedges in AdS/CFT, and we give a heuristic explanation for this. This paper is an extended version of our earlier letter (arXiv:1908.09939 [hep-th]) and includes various new observations and examples.

scholarly journals A perturbative CFT dual for pure NS-NS AdS3 strings

2022 ◽  
Author(s):  
Lorenz Valentin Eberhardt
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Conformal Field Theory ◽  
String Theory ◽  
Long Strings ◽  
Ample Evidence ◽  
Conformal Field ◽  
Large N ◽  
Linear Dilaton

Abstract We construct a conformal field theory dual to string theory on AdS3 with pure NS-NS flux. It is given by a symmetric orbifold of a linear dilaton theory deformed by a marginal operator from the twist-2 sector. We compute two- and three-point functions on the CFT side to 4th order in conformal perturbation theory at large N. They agree with the string computation at genus 0, thus providing ample evidence for a duality. We also show that the full spectra of both short and long strings on the CFT and the string side match. The duality should be understood as perturbative in 1/N.

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