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.

scholarly journals A twisted conformal field theory description of dissipative quantum mechanics

2004 ◽  
Vol 679 (3) ◽  
pp. 621-631 ◽  
Author(s):  
Gerardo Cristofano ◽  
Vincenzo Marotta ◽  
Adele Naddeo
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Conformal Field Theory ◽  
Conformal Field

SUPERCONFORMAL SYMMETRY AND SUPERSTRING COMPACTIFICATION

1989 ◽  
Vol 04 (11) ◽  
pp. 2653-2713 ◽  
Author(s):  
JOHN H. SCHWARZ
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Degrees Of Freedom ◽  
Perturbation Expansion ◽  
Singularity Theory ◽  
Minimal Models ◽  
Strongly Coupled ◽  
Conformal Field ◽  
Superconformal Theories ◽  
Mathematical Techniques

Various topics in conformal field theory and the theory of Kac-Moody algebras are presented. In particular, the Goddard-Kent-Olive construction is used to derive various conformal and superconformal theories, including a large class of N=2 models recently discovered by Kazama and Suzuki. The relationship between compactification of extra dimensions and the description of internal degrees of freedom by a conformal field theory is discussed. Various approaches to compactification based on exactly soluble conformal field theories, including Gepner’s proposal for using the N=2 minimal models, are sketched. Recent progress in understanding N=2 models and Calabi-Yau spaces using mathematical techniques of singularity theory is described. It is argued that a classical solution could be a useful first approximation to a quantum ground state even though it is known that string theory is strongly coupled and the perturbation expansion diverges.

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".  

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