Recursive representation of the torus 1-point conformal block

The recursive relation for the 1-point conformal block on a torus is derived and used to prove the identities between conformal blocks recently conjectured by Poghossian in [ 1 ]. As an illustration of the efficiency of the recurrence method the modular invariance of the 1-point Liouville correlatio...

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Bibliographic Details
Published in:The journal of high energy physics 2010-01, Vol.2010 (1), Article 63
Main Authors: Hadasz, Leszek, Jaskólski, Zbigniew, Suchanek, Paulina
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Correlation analysis
Elementary Particles
High energy physics
Ice
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Toruses
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Summary:The recursive relation for the 1-point conformal block on a torus is derived and used to prove the identities between conformal blocks recently conjectured by Poghossian in [ 1 ]. As an illustration of the efficiency of the recurrence method the modular invariance of the 1-point Liouville correlation function is numerically analyzed.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2010)063