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 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.

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.

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 Finite-N corrections to the superconformal index of S-fold theories

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
Reona Arai ◽  
Yosuke Imamura
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
De Sitter ◽  
Superconformal Index ◽  
Conformal Field ◽  
Large N ◽  
Kaluza Klein

Abstract We study the superconformal index of S-fold theories by using the anti-de Sitter / conformal field theory correspondence. It is known that the index in the large-$N$ limit is reproduced as the contribution of bulk Kaluza–Klein modes. For finite-$N$, D3-branes wrapped around the non-trivial cycle in $\boldsymbol{S}^5/\mathbb{Z}_k$, which corresponds to Pfaffian-like operators, give the corrections of order $q^N$ to the index. We calculate the finite-$N$ corrections by analyzing the fluctuations of wrapped D3-branes. Comparisons to known results show that our formula correctly reproduces the corrections up to errors of order $q^{2N}$.

HIGHER SPIN SYMMETRY AND SU(2) WZNW MODEL

1994 ◽  
Vol 09 (26) ◽  
pp. 2389-2398
Author(s):  
SASANKA GHOSH
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Ising Model ◽  
Higher Spin Symmetry ◽  
Symmetry Algebra ◽  
Spin Symmetry ◽  
Conformal Field ◽  
Large N ◽  
Wznw Model ◽  
Higher Spin

Generators of an infinite number of conserved charges of the integrable SU(2) WZNW model are identified with the generators of a W1+∞ symmetry algebra. This integrable conformal field theory also describes the ZN symmetric Ising model at the critical point in the large-N limit.

scholarly journals a – c test of holography versus quantum renormalization group

2014 ◽  
Vol 29 (29) ◽  
pp. 1450158 ◽  
Author(s):  
Yu Nakayama
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Conformal Field Theory ◽  
Beta Function ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
De Sitter ◽  
Conformal Field ◽  
Large N

We show that a "constructive derivation" of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence based on the quantum local renormalization group in large-N quantum field theories consistently provides the a – c holographic Weyl anomaly in d = 4 at the curvature squared order in the bulk action. The consistency of the construction further predicts the form of the metric beta function.

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