Report/Journal Article

PUBDB-2015-01774

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Isomonodromic Tau-Functions from Liouville Conformal Blocks

Iorgov, N. ; Lisovyy, O. ; Teschner, J. (Corresponding Author)DESY*

2015
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/s00220-014-2245-0

Report No.: DESY-14-012; arXiv:1401.6104

Abstract: The goal of this note is to show that the Riemann-Hilbert problem to find multivalued analytic functions with SL(2,C)-valued monodromy on Riemann surfaces of genus zero with n punctures can be solved by taking suitable linear combinations of the conformal blocks of Liouville theory at c=1. This implies a similar representation for the isomonodromic tau-function. In the case n=4 we thereby get a proof of the relation between tau-functions and conformal blocks discovered in \cite{GIL}. We briefly discuss a possible application of our results to the study of relations between certain N=2 supersymmetric gauge theories and conformal field theory.

Note: OA

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 514 - Theoretical Particle Physics (POF2-514) (POF2-514)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2015

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Database coverage:
; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Internal Report Iorgov, N. (Corresponding Author) ; Lisovyy, O. ; Teschner, J.DESY*
Isomonodromic tau-functions from Liouville conformal blocks
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