"Fermionic characters of Virasoro minimal models"의 두 판 사이의 차이
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| + | ==introduction== | ||
| + | * unitary case | ||
| + | * non-unitary case | ||
| + | * [[bosonic characters of Virasoro minimal models(Rocha-Caridi formula)|bosonic charaters of minimal models]] | ||
| + | * Rogers-Ramanujan identities for the minimal models <math>M(p,p')</math> perturbed by the operators <math>\phi_{1,3},\phi_{2,1},\phi_{1,5}</math> and <math>\phi_{1,2}</math> | ||
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| + | ==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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| + | ==related items== | ||
| + | * [[Massive integrable perturbations of CFT and quasi-particles]] | ||
| + | * [[sources of Bailey pairs]] | ||
| + | * [[coset characters and Fermionic character formula]] | ||
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| + | ==books== | ||
| + | * Trevor Alan Welsh [http://books.google.com/books?id=kV1n_TsCw9YC Fermionic expressions for minimal model Virasoro characters] | ||
| + | ** http://arxiv.org/abs/math/0212154 | ||
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| + | |||
| + | ==expositions== | ||
| + | * Warnaar, [http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&r=1&s4=&s5=&s6=&s7=Fermionic%20expressions%20for%20minimal%20model%20Virasoro%20characters&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq Review of Welsh's book] | ||
| + | * Kedem, Rinat, Barry M. McCoy, and Ezer Melzer. 1995. “The Sums of Rogers, Schur and Ramanujan and the Bose-Fermi Correspondence in <math>(1+1)</math>-Dimensional Quantum Field Theory.” In Recent Progress in Statistical Mechanics and Quantum Field Theory (Los Angeles, CA, 1994), 195–219. World Sci. Publ., River Edge, NJ. http://xxx.lanl.gov/abs/hep-th/9304056 | ||
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| + | ==articles== | ||
| + | * Berkovich, Alexander, Barry M. McCoy, and Anne Schilling. 1998. “Rogers-Schur-Ramanujan Type Identities for the <math>M(p,p’)</math> Minimal Models of Conformal Field Theory.” Communications in Mathematical Physics 191 (2): 325–395. doi:10.1007/s002200050271. | ||
| + | * Berkovich, Alexander, and Barry M. McCoy. 1996. “Continued Fractions and Fermionic Representations for Characters of <math>M(p,p’)</math> Minimal Models.” Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics 37 (1): 49–66. doi:10.1007/BF00400138. | ||
| + | * Foda, Omar, and Yas-Hiro Quano. 1997. “Virasoro Character Identities from the Andrews-Bailey Construction.” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology. Nuclear Physics 12 (9): 1651–1675. doi:10.1142/S0217751X97001110. | ||
| + | * Berkovich, Alexander. 1994. “Fermionic Counting of RSOS States and Virasoro Character Formulas for the Unitary Minimal Series <math>M(\nu,\nu+1)</math>: Exact Results.” Nuclear Physics. B 431 (1-2): 315–348. doi:10.1016/0550-3213(94)90108-2. | ||
| + | * Melzer, Ezer. 1994. “Fermionic Character Sums and the Corner Transfer Matrix.” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology 9 (7): 1115–1136. doi:10.1142/S0217751X94000510. | ||
| + | * Kedem, R., T. R. Klassen, B. M. McCoy, and E. Melzer. 1993. “Fermionic Sum Representations for Conformal Field Theory Characters.” Physics Letters. B 307 (1-2): 68–76. doi:10.1016/0370-2693(93)90194-M. | ||
| + | * Kedem, R., T. R. Klassen, B. M. McCoy, and E. Melzer. 1993. “Fermionic Quasi-Particle Representations for Characters of <math>(G^{(1)})_1\times (G^{(1)})_1/(G^{(1)})_2</math>.” Physics Letters. B 304 (3-4): 263–270. doi:10.1016/0370-2693(93)90292-P. | ||
| + | * Feigin, Boris L., Tomoki Nakanishi, and Hirosi Ooguri. 1992. “The Annihilating Ideals of Minimal Models.” In Infinite Analysis, Part A, B (Kyoto, 1991), 16:217–238. Adv. Ser. Math. Phys. World Sci. Publ., River Edge, NJ. | ||
| + | [[분류:개인노트]] | ||
| + | [[분류:migrate]] | ||
2020년 11월 16일 (월) 07:09 기준 최신판
introduction
- unitary case
- non-unitary case
- bosonic charaters of minimal models
- Rogers-Ramanujan identities for the minimal models \(M(p,p')\) perturbed by the operators \(\phi_{1,3},\phi_{2,1},\phi_{1,5}\) and \(\phi_{1,2}\)
unitary case
examples
- Massive integrable perturbations of CFT and quasi-particles
- sources of Bailey pairs
- coset characters and Fermionic character formula
books
- Trevor Alan Welsh Fermionic expressions for minimal model Virasoro characters
expositions
- Warnaar, Review of Welsh's book
- Kedem, Rinat, Barry M. McCoy, and Ezer Melzer. 1995. “The Sums of Rogers, Schur and Ramanujan and the Bose-Fermi Correspondence in \((1+1)\)-Dimensional Quantum Field Theory.” In Recent Progress in Statistical Mechanics and Quantum Field Theory (Los Angeles, CA, 1994), 195–219. World Sci. Publ., River Edge, NJ. http://xxx.lanl.gov/abs/hep-th/9304056
articles
- Berkovich, Alexander, Barry M. McCoy, and Anne Schilling. 1998. “Rogers-Schur-Ramanujan Type Identities for the \(M(p,p’)\) Minimal Models of Conformal Field Theory.” Communications in Mathematical Physics 191 (2): 325–395. doi:10.1007/s002200050271.
- Berkovich, Alexander, and Barry M. McCoy. 1996. “Continued Fractions and Fermionic Representations for Characters of \(M(p,p’)\) Minimal Models.” Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics 37 (1): 49–66. doi:10.1007/BF00400138.
- Foda, Omar, and Yas-Hiro Quano. 1997. “Virasoro Character Identities from the Andrews-Bailey Construction.” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology. Nuclear Physics 12 (9): 1651–1675. doi:10.1142/S0217751X97001110.
- Berkovich, Alexander. 1994. “Fermionic Counting of RSOS States and Virasoro Character Formulas for the Unitary Minimal Series \(M(\nu,\nu+1)\): Exact Results.” Nuclear Physics. B 431 (1-2): 315–348. doi:10.1016/0550-3213(94)90108-2.
- Melzer, Ezer. 1994. “Fermionic Character Sums and the Corner Transfer Matrix.” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology 9 (7): 1115–1136. doi:10.1142/S0217751X94000510.
- Kedem, R., T. R. Klassen, B. M. McCoy, and E. Melzer. 1993. “Fermionic Sum Representations for Conformal Field Theory Characters.” Physics Letters. B 307 (1-2): 68–76. doi:10.1016/0370-2693(93)90194-M.
- Kedem, R., T. R. Klassen, B. M. McCoy, and E. Melzer. 1993. “Fermionic Quasi-Particle Representations for Characters of \((G^{(1)})_1\times (G^{(1)})_1/(G^{(1)})_2\).” Physics Letters. B 304 (3-4): 263–270. doi:10.1016/0370-2693(93)90292-P.
- Feigin, Boris L., Tomoki Nakanishi, and Hirosi Ooguri. 1992. “The Annihilating Ideals of Minimal Models.” In Infinite Analysis, Part A, B (Kyoto, 1991), 16:217–238. Adv. Ser. Math. Phys. World Sci. Publ., River Edge, NJ.