Negative screenings in conformal field theory and 2D gravity: the braiding matrix

Rasmussen, J. and Schnittger, J. (2000) Negative screenings in conformal field theory and 2D gravity: the braiding matrix. Nuclear Physics B, 574 1-2: 525-550. doi:10.1016/S0550-3213(99)00799-3


Author Rasmussen, J.
Schnittger, J.
Title Negative screenings in conformal field theory and 2D gravity: the braiding matrix
Journal name Nuclear Physics B   Check publisher's open access policy
ISSN 0550-3213
1873-1562
Publication date 2000-05
Sub-type Article (original research)
DOI 10.1016/S0550-3213(99)00799-3
Open Access Status DOI
Volume 574
Issue 1-2
Start page 525
End page 550
Total pages 26
Place of publication Amsterdam, Netherlands
Publisher Elsevier
Language eng
Formatted abstract
We consider an extension of the Coulomb gas picture which is motivated by Liouville theory and contains negative powers of screening operators on the same footing as positive ones. The braiding problem for chiral vertex operators in this extended framework is analyzed. We propose explicit expressions for the R-matrix with general integer screening numbers, which are given in terms of 4F3 q-hypergeometric functions through natural analytic continuations of the well-known expression for positive integer screenings. These proposals are subsequently verified using a subset of the Moore-Seiberg equations that is obtained by simple manipulations in the operator approach. Interesting new relations for q-hypergeometric functions (particularly of type 4F3) arise on the way.
Keyword LIOUVILLE THEORY
CONFORMAL FIELD THEORY
CHIRAL VERTEX OPERATORS
QUANTUM GROUP-STRUCTURE
SL(2) CURRENT-ALGEBRA
LIOUVILLE THEORY
2-DIMENSIONAL GRAVITY
CONTINUOUS SPINS
MINIMAL MODELS
BOOTSTRAP
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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Created: Thu, 22 Mar 2012, 12:50:18 EST by Kay Mackie on behalf of Mathematics