Gravitational Yang-Lee model: Four-point function

The four-point perturbative contribution to the spherical partition function of the gravitational Yang-Lee model is evaluated numerically. An effective integration procedure is due to a convenient elliptic parameterization of the moduli space. At certain values of the ``spectator'' paramet...

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Bibliographic Details
Published inTheoretical and mathematical physics Vol. 151; no. 1; pp. 439 - 458
Main Author Zamolodchikov, Al. B.
Format Journal Article
LanguageEnglish
Published Consultants bureau 01.04.2007
Subjects
High Energy Physics - Theory
Physics
conformal field theory
quantum gravity
Liouville theory
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ISSN0040-5779
1573-9333
DOI10.1007/s11232-007-0033-0

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Summary:The four-point perturbative contribution to the spherical partition function of the gravitational Yang-Lee model is evaluated numerically. An effective integration procedure is due to a convenient elliptic parameterization of the moduli space. At certain values of the ``spectator'' parameter the Liouville four-point function involves a number of ``discrete terms'' which have to be taken into account separately. The classical limit, where only discrete terms contribute, is also discussed. In addition, we conjecture an explicit expression for this partition function at the ``second solvable point'' where the spectator matter is in fact another $M_{2/5}$ (Yang-Lee) minimal model.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-007-0033-0