scholarly journals Simple space-time symmetries: Generalizing conformal field theory

2007 ◽  
Vol 48 (5) ◽  
pp. 052304 ◽  
Author(s):  
Gerhard Mack ◽  
Mathias de Riese
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Space Time ◽  
Conformal Field

ON THE INTERPOLATING SOLUTIONS OF STRING IN DIFFERENT BACKGROUNDS

1992 ◽  
Vol 07 (15) ◽  
pp. 1361-1366 ◽  
Author(s):  
SUDIPTA MUKHERJI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
String Theory ◽  
Central Charge ◽  
Space Time ◽  
Time Dependent ◽  
Target Space ◽  
Conformal Field ◽  
Β Function ◽  
Time Dependent Solution

We analyze the β-function equations for string theory in the case when the target space has one space-like (or time-like) direction and the rest is some conformal field theory (CFT) with appropriate central charge and has one nearly marginal operator. We show there always exists a space-(time) dependent solution which interpolates between the original background and the background where CFT is replaced by a new conformal field theory, obtained by perturbing CPT by the nearly marginal operator.

scholarly journals CONFORMAL SYMMETRY OF SUPERSTRINGS ON AdS3 × S3 × T4 AND D1/D5 System

2002 ◽  
Vol 17 (37) ◽  
pp. 2477-2485 ◽  
Author(s):  
ABBAS ALI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Symmetry ◽  
Space Time ◽  
Superconformal Algebra ◽  
Superconformal Symmetry ◽  
Conformal Field ◽  
Time Symmetry

Conformal field theory of the D1/D5 system and superstrings on AdS3 × S3 × T4 is studied with particular attention to the worldsheet fields corresponding to the T4 part. A solution to the space–time N = 4 superconformal symmetry doubling and other problems is proposed. It is argued that the relevant space–time symmetry should be based on the middle N = 4 superconformal algebra. It is discussed as to why this superconformal structure has been missed so far.

A twistor conformal field theory for four space-time dimensions

1989 ◽  
Vol 216 (1-2) ◽  
pp. 48-52 ◽  
Author(s):  
A.P. Hodges ◽  
R. Penrose ◽  
M.A. Singer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Space Time ◽  
Conformal Field

scholarly journals EXACT STRING BACKGROUNDS FROM WZW MODELS BASED ON NON-SEMISIMPLE GROUPS

1994 ◽  
Vol 09 (27) ◽  
pp. 4759-4766 ◽  
Author(s):  
KONSTADINOS SFETSOS
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Central Charge ◽  
Space Time ◽  
Extended Version ◽  
Euclidean Group ◽  
Semisimple Groups ◽  
Killing Vectors ◽  
Conformal Field ◽  
The One

We formulate WZW models based on a centrally extended version of the Euclidean group in d dimensions. We obtain string backgrounds corresponding to conformal σ models in D=d2 space-time dimensions with exact central charge c=d2 and d(d−1)/2 null Killing vectors. By identifying the corresponding conformal field theory we show that the one-loop results coincide with the exact ones up to a shifting of a parameter.

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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