An analogue of modular BPZ-equation in logarithmic (super)conformal field theory

2009 ◽  
pp. 1-17 ◽  
Author(s):  
Dražen Adamović ◽  
Antun Milas
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field ◽  
Super Conformal Field Theory

FINE STRUCTURE OF THE MVW CORRESPONDENCE

1992 ◽  
Vol 07 (11) ◽  
pp. 2371-2415 ◽  
Author(s):  
TOSHIYA KAWAI
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Fine Structure ◽  
Conformal Field Theory ◽  
Singularity Theory ◽  
Conformal Field ◽  
Super Conformal Field Theory

A correspondence observed by Martinec, Vafa and Warner (MVW) between the singularity theory and the N = 2 super conformal field theory is reviewed by using N = 2 SUSY quantum mechanics.

POINT-SPLITTING REGULARIZATION IN (SUPER)CONFORMAL FIELD THEORY

1999 ◽  
Vol 14 (18) ◽  
pp. 2887-2904
Author(s):  
BELAL E. BAAQUIE ◽  
KOK KEAN YIM
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Splitting Method ◽  
Central Extensions ◽  
Singular Terms ◽  
Superconformal Field Theory ◽  
Conformal Field ◽  
Point Splitting ◽  
Super Conformal Field Theory ◽  
Wick’S Theorem

The method of point-splitting regularization is applied on the two-dimensional (super)conformal field theory. This method is first used to regularize the fermionic conformal field theory and then the N=1 superconformal field theory. We obtain the correct central extensions for the conformal algebra and the N=1 superconformal algebra. We arrived at these results only after some nontrivial, but exact, cancelations among all the singular terms, as required by the consistency of the point-splitting method. In the course of our analysis, we rederive Wick's Theorem directly from the commutation equations of the fundamental fields.

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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