"Fermionic characters of Virasoro minimal models"의 두 판 사이의 차이
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imported>Pythagoras0 |
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==introduction== | ==introduction== | ||
| + | * unitary case | ||
| + | * non-unitary case | ||
| + | * [[bosonic characters of Virasoro minimal models(Rocha-Caridi formula)|bosonic charaters of minimal models]] | ||
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==unitary case== | ==unitary case== | ||
| + | * [[minimal models]] | ||
| + | * [[Cartan matrices A n |Cartan matrices A_n]] | ||
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| − | + | ==examples== | |
| − | * [[ | + | * [[integrable perturbations of Ising model]] |
| + | * [[Integrable perturbation of Yang-Lee model]] | ||
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==history== | ==history== | ||
| 22번째 줄: | 19번째 줄: | ||
* http://www.google.com/search?hl=en&tbs=tl:1&q= | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
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==related items== | ==related items== | ||
| + | * [[Massive integrable perturbations of CFT and quasi-particles]] | ||
| + | * [[sources of Bailey pairs]] | ||
| + | * [[coset characters and Fermionic character formula]] | ||
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==encyclopedia== | ==encyclopedia== | ||
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==books== | ==books== | ||
| − | * [http://books.google.com/books?id=kV1n_TsCw9YC Fermionic expressions for minimal model Virasoro characters] | + | * Trevor Alan Welsh [http://books.google.com/books?id=kV1n_TsCw9YC Fermionic expressions for minimal model Virasoro characters] |
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==articles== | ==articles== | ||
| − | * [http://arxiv.org/PS_cache/math/pdf/0212/0212154v3.pdf Fermionic expressions for minimal model Virasoro characters] | + | * [http://arxiv.org/PS_cache/math/pdf/0212/0212154v3.pdf Fermionic expressions for minimal model Virasoro characters] |
| − | ** Trevor Alan Welsh, 2005 | + | ** Trevor Alan Welsh, 2005 |
| − | * [http://dx.doi.org/10.1063/1.532925 Central charge and the Andrews–Bailey construction] | + | * [http://dx.doi.org/10.1063/1.532925 Central charge and the Andrews–Bailey construction] |
| − | ** Leung Chim, J. Math. Phys. 40, 3761, 1999 | + | ** Leung Chim, J. Math. Phys. 40, 3761, 1999 |
| − | * [http://dx.doi.org/10.1088/0305-4470/32/46/305 Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities] | + | * [http://dx.doi.org/10.1088/0305-4470/32/46/305 Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities] |
| − | ** A.G. Bytsko, 1999 | + | ** A.G. Bytsko, 1999 |
| − | * [http://dx.doi.org/10.1016/S0550-3213%2898%2900222-3 Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz] | + | * [http://dx.doi.org/10.1016/S0550-3213%2898%2900222-3 Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz] |
| − | ** A.G. Bytsko, A. Fring, 1998 | + | ** A.G. Bytsko, A. Fring, 1998 |
| − | + | * [http://arxiv.org/abs/hep-th/9808013 The universal chiral partition function for exclusion statistics] | |
| − | * [http://arxiv.org/abs/hep-th/9808013 The universal chiral partition function for exclusion statistics] | + | ** A. Berkovich, B.M. McCoy, 1998 |
| − | ** A. Berkovich, B.M. McCoy, 1998 | + | * [http://dx.doi.org/10.1007/s002200050271 Rogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory] |
| − | * [http://dx.doi.org/10.1007/s002200050271 Rogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory] | + | ** Alexander Berkovich, Barry M. McCoy, Anne Schilling, 1996 |
| − | ** Alexander Berkovich, Barry M. McCoy, Anne Schilling, 1996 | + | * [http://dx.doi.org/10.1007/BF00400138 Continued fractions and fermionic representations for characters of M(p,p') minimal models] |
| − | * [http://dx.doi.org/10.1007/BF00400138 Continued fractions and fermionic representations for characters of M(p,p') minimal models] | + | ** A. Berkovich and B.M. McCoy, Letters in Mathematical Physics, 1996 |
| − | ** A. Berkovich and B.M. McCoy, Letters in Mathematical Physics, 1996 | + | * [http://dx.doi.org/10.1142/S0217751X97001110 Virasoro character identities from the Andrews-Bailey construction] |
| − | * [http://dx.doi.org/10.1142/S0217751X97001110 Virasoro character identities from the Andrews-Bailey construction] | + | ** Foda, O. and Quano, Y-H. International Journal of Modern Physics A (IJMPA) ,Volume: 12, Issue: 9(1997) pp. 1651-1675 |
| − | ** Foda, O. and Quano, Y-H. | + | * [http://arxiv.org/abs/hep-th/9403073 Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν, ν + 1). Exact results.] |
| − | * [http://arxiv.org/abs/hep-th/9403073 Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν, ν + 1). Exact results.] | + | ** A. Berkovich, Nuclear Phys. B 431 (1994), no. 1-2, 315--348, 1994 |
| − | ** A. Berkovich, Nuclear Phys. B 431 (1994), no. 1-2, 315--348, | + | * [http://dx.doi.org/10.1142/S0217751X94000510 Fermionic Character Sums and the Corner Transfer Matrix] |
| − | * [http://dx.doi.org/10.1142/S0217751X94000510 Fermionic Character Sums and the Corner Transfer Matrix] | + | ** Ezer Melzer, 1993 |
| − | ** Ezer Melzer, 1993 | + | * [http://dx.doi.org/10.1016/0370-2693%2893%2990194-M Fermionic Sum Representations for Conformal Field Theory Characters] |
| − | + | ** R. Kedem, T.R. Klassen, B.M. McCoy, E. Melzer, Physics Letters B Volume 307, Issues 1-2, 10 June 1993, Pages 68-76 | |
| − | * [http://dx.doi.org/10.1016/0370-2693%2893%2990194-M Fermionic Sum Representations for Conformal Field Theory Characters] | + | * [http://dx.doi.org/10.1142/S0217751X92003793 The annihilating ideals of minimal models] |
| − | ** R. Kedem, T.R. Klassen, B.M. McCoy, E. Melzer, Physics Letters B Volume 307, Issues 1-2, 10 June 1993, Pages 68-76 | ||
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| − | * [http://dx.doi.org/10.1142/S0217751X92003793 The annihilating ideals of minimal models] | ||
** B. Feigin, T. Nakanishi and H. Ooguri, Int. J. Mod. Phys. Suppl. 1A (1992) 217-238 | ** B. Feigin, T. Nakanishi and H. Ooguri, Int. J. Mod. Phys. Suppl. 1A (1992) 217-238 | ||
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[[분류:개인노트]] | [[분류:개인노트]] | ||
[[분류:thesis]] | [[분류:thesis]] | ||
2013년 3월 14일 (목) 08:28 판
introduction
- unitary case
- non-unitary case
- bosonic charaters of minimal models
unitary case
examples
history
- Massive integrable perturbations of CFT and quasi-particles
- sources of Bailey pairs
- coset characters and Fermionic character formula
encyclopedia
books
- Trevor Alan Welsh Fermionic expressions for minimal model Virasoro characters
articles
- Fermionic expressions for minimal model Virasoro characters
- Trevor Alan Welsh, 2005
- Central charge and the Andrews–Bailey construction
- Leung Chim, J. Math. Phys. 40, 3761, 1999
- Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities
- A.G. Bytsko, 1999
- Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz
- A.G. Bytsko, A. Fring, 1998
- The universal chiral partition function for exclusion statistics
- A. Berkovich, B.M. McCoy, 1998
- Rogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory
- Alexander Berkovich, Barry M. McCoy, Anne Schilling, 1996
- Continued fractions and fermionic representations for characters of M(p,p') minimal models
- A. Berkovich and B.M. McCoy, Letters in Mathematical Physics, 1996
- Virasoro character identities from the Andrews-Bailey construction
- Foda, O. and Quano, Y-H. International Journal of Modern Physics A (IJMPA) ,Volume: 12, Issue: 9(1997) pp. 1651-1675
- Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν, ν + 1). Exact results.
- A. Berkovich, Nuclear Phys. B 431 (1994), no. 1-2, 315--348, 1994
- Fermionic Character Sums and the Corner Transfer Matrix
- Ezer Melzer, 1993
- Fermionic Sum Representations for Conformal Field Theory Characters
- R. Kedem, T.R. Klassen, B.M. McCoy, E. Melzer, Physics Letters B Volume 307, Issues 1-2, 10 June 1993, Pages 68-76
- The annihilating ideals of minimal models
- B. Feigin, T. Nakanishi and H. Ooguri, Int. J. Mod. Phys. Suppl. 1A (1992) 217-238