Connection problem for the sine-Gordon/Painlev e III tau function and irregular conformal blocks

dc.contributor.authorIts, Alexander
dc.contributor.authorLisovyy, Oleg
dc.contributor.authorTykhyy, Yuriy
dc.contributor.departmentDepartment of Mathematical Sciences, School of Scienceen_US
dc.date.accessioned2016-05-26T14:42:56Z
dc.date.available2016-05-26T14:42:56Z
dc.date.issued2015
dc.description.abstractThe short-distance expansion of the tau function of the radial sine-Gordon/Painlevé III equation is given by a convergent series which involves irregular c=1c=1 conformal blocks and possesses certain periodicity properties with respect to monodromy data. The long-distance irregular expansion exhibits a similar periodicity with respect to a different pair of coordinates on the monodromy manifold. This observation is used to conjecture an exact expression for the connection constant providing relative normalization of the two series. Up to an elementary prefactor, it is given by the generating function of the canonical transformation between the two sets of coordinates.en_US
dc.eprint.versionAuthor's manuscripten_US
dc.identifier.citationIts, A., Lisovyy, O., & Tykhyy, Y. (2015). Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. International Mathematics Research Notices, 2015(18), 8903-8924. http://dx.doi.org/10.1093/imrn/rnu209en_US
dc.identifier.urihttps://hdl.handle.net/1805/9673
dc.language.isoenen_US
dc.publisherOxforden_US
dc.relation.isversionof10.1093/imrn/rnu209en_US
dc.relation.journalInternational Mathematics Research Noticesen_US
dc.rightsPublisher Policyen_US
dc.sourceArXiven_US
dc.subjectSine-Gordon/Painlevé III equationen_US
dc.subjecthigh energy physics theoryen_US
dc.titleConnection problem for the sine-Gordon/Painlev e III tau function and irregular conformal blocksen_US
dc.typeArticleen_US
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