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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| Published in | Theoretical and mathematical physics Vol. 151; no. 1; pp. 439 - 458 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Consultants bureau
01.04.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0040-5779 1573-9333 |
| DOI | 10.1007/s11232-007-0033-0 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Zamolodchikov, Al. B. |
| Author_xml | – sequence: 1 givenname: Al. B. surname: Zamolodchikov fullname: Zamolodchikov, Al. B. |
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| CitedBy_id | crossref_primary_10_1103_PhysRevD_99_026005 crossref_primary_10_1007_JHEP02_2015_052 crossref_primary_10_1088_1751_8113_42_30_304011 crossref_primary_10_1007_JHEP11_2016_142 crossref_primary_10_4213_tmf1985 crossref_primary_10_1007_s11232_009_0122_3 |
| Cites_doi | 10.1007/s11232-006-0076-7 10.1103/PhysRevLett.54.1354 10.1088/1126-6708/2002/07/029 10.1016/0550-3213(96)00351-3 10.1007/s11232-005-0048-3 10.1016/0550-3213(84)90052-X 10.1016/0550-3213(90)90432-D 10.1007/BF01214585 |
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| Keywords | conformal field theory quantum gravity Liouville theory |
| Language | English |
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| References | J. Cardy (33_CR5) 1985; 54 Al. Zamolodchikov (33_CR9) 1984; 96 Al. B. Zamolodchikov (33_CR7) 2005; 142 Al. B. Zamolodchikov (33_CR4) 2006; 147 A. Zamolodchikov (33_CR6) 1996; 477 M. Staudacher (33_CR10) 1990; 336 33_CR2 A. Belavin (33_CR8) 1984; 241 K. A. Ter-Martirosyan (33_CR1) 1974 33_CR3 I. Kostov (33_CR11) 2006 |
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| Title | Gravitational Yang-Lee model: Four-point function |
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