scholarly journals Entanglement of Two Disjoint Intervals in Conformal Field Theory and the 2D Coulomb Gas on a Lattice

2021 ◽  
Vol 127 (14) ◽  
Author(s):  
Tamara Grava ◽  
Andrew P. Kels ◽  
Erik Tonni
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Coulomb Gas ◽  
Conformal Field

THE QUANTUM HALL EFFECT AT ARBITRARY RATIONAL FILLING: A PROPOSAL

1992 ◽  
Vol 07 (28) ◽  
pp. 2583-2591 ◽  
Author(s):  
G. CRISTOFANO ◽  
G. MAIELLA ◽  
R. MUSTO ◽  
F. NICODEMI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Hierarchical Model ◽  
Quantum Hall ◽  
Coulomb Gas ◽  
Vertex Operators ◽  
Two Dimensional ◽  
Conformal Field

A description of the quantum Hall effect, already proposed for the fractional filling ν=1/m, based on the introduction of Coulomb gas-like vertex operators typical of a two-dimensional conformal field theory, is extended to the case ν=p/m. The resulting physical picture is compared with the hierarchical model.

scholarly journals On the Real Part of a Conformal Field Theory

Universe ◽  
2018 ◽  
Vol 4 (9) ◽  
pp. 97
Author(s):  
Doron Gepner ◽  
Hervé Partouche
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Coulomb Gas ◽  
Field Theories ◽  
Partition Functions ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field ◽  
Exceptional Holonomy ◽  
General Method

Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, S U ( 2 ) current algebra and the N = 2 minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. For instance, it is of importance in analyzing the conformal field theories of exceptional holonomy manifolds.

scholarly journals Minimal Models of CFT on ℤN-Surfaces

1997 ◽  
Vol 12 (24) ◽  
pp. 4291-4307 ◽  
Author(s):  
S. A. Apikyan ◽  
C. J. Efthimiou
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Coulomb Gas ◽  
Minimal Models ◽  
Conformal Field

The conformal field theory on a ℤN-surface is studied by mapping it on the branched sphere. Using a Coulomb gas formalism we construct the minimal models of the theory.

scholarly journals ABELIAN HALL FLUIDS AND EDGE STATES: A CONFORMAL FIELD THEORY APPROACH

1995 ◽  
Vol 09 (21) ◽  
pp. 2839-2855 ◽  
Author(s):  
A. DE MARTINO ◽  
R. MUSTO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Coulomb Gas ◽  
Theory Approach ◽  
Edge States ◽  
Operator Representation ◽  
Conformal Field ◽  
Two Space Dimensions ◽  
The Difference ◽  
Toroidal Geometry

We show that a Coulomb gas Vertex Operator representation of 2D Conformal Field Theory gives a complete description of Abelian Hall fluids: as a Euclidean theory in two space dimensions leads to the construction of the ground state wave functions for planar and toroidal geometry and characterizes the spectrum of low energy excitations; as a 1+1 Minkowski theory gives the corresponding dynamics of the edge states. The difference between a generic Hall fluid and states of the Jain’s sequences is emphasized. In particular, the different structure of the lattice characterizing the indipendent Vertex Operators is exhibited; the presence, in Jain’s case, of of an [Formula: see text] extended algebra and the consequent propagation on the edges of a single charged mode and n−1 neutral modes is discussed.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

scholarly journals THE FREE FIELD REPRESENTATION OF SU(3) CONFORMAL FIELD THEORY

1993 ◽  
Vol 08 (23) ◽  
pp. 4031-4053
Author(s):  
HOVIK D. TOOMASSIAN
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Correlation Functions ◽  
Free Field ◽  
Field Representation ◽  
Conformal Field ◽  
Point Correlation

The structure of the free field representation and some four-point correlation functions of the SU(3) conformal field theory are considered.

scholarly journals Decoherence in Conformal Field Theory

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Adolfo del Campo ◽  
Tadashi Takayanagi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field
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