"Fermionic characters of Virasoro minimal models"의 두 판 사이의 차이

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==introduction==
 
==introduction==
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*  unitary case
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*  non-unitary case
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* [[bosonic characters of Virasoro minimal models(Rocha-Caridi formula)|bosonic charaters of minimal models]]
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* 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<br>
 
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*  non-unitary case<br>
 
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* [[bosonic characters of Virasoro minimal models(Rocha-Caridi formula)|bosonic charaters of minimal models]]<br>
 
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* [http://dx.doi.org/10.1007/s002200050271 Rogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory]<br>
 
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**  Alexander Berkovich, Barry M. McCoy, Anne Schilling, 1996<br>
 
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==unitary case==
 
==unitary case==
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* [[minimal models]]
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* [[Cartan matrices A n |Cartan matrices A_n]]
  
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* [[minimal models]]<br>
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==examples==
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* [[integrable perturbations of Ising model]]
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* [[Integrable perturbation of Yang-Lee model]]
  
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* [[Cartan matrices A n |Cartan matrices A_n]]<br>
 
  
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==history==
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
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==related items==
 
==related items==
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* [[Massive integrable perturbations of CFT and quasi-particles]]
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* [[sources of Bailey pairs]]
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* [[coset characters and Fermionic character formula]]
  
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* [[sources of Bailey pairs|Bailey pairs from CFT]]<br>
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* [[coset characters and Fermionic character formula|coset construction and Fermionic character formula]]<br>
 
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==encyclopedia==
 
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* http://en.wikipedia.org/wiki/
 
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* http://www.scholarpedia.org/
 
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==books==
 
==books==
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* Trevor Alan Welsh [http://books.google.com/books?id=kV1n_TsCw9YC Fermionic expressions for minimal model Virasoro characters]
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* [http://books.google.com/books?id=kV1n_TsCw9YC Fermionic expressions for minimal model Virasoro characters]<br>
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** http://arxiv.org/abs/math/0212154
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**  Trevor Alan Welsh<br>
 
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* [[2010년 books and articles]]<br>
 
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* http://gigapedia.info/1/
 
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* http://gigapedia.info/1/
 
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
  
  
 +
==expositions==
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* 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]
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* 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==
 
==articles==
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* 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.
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* [http://arxiv.org/PS_cache/math/pdf/0212/0212154v3.pdf Fermionic expressions for minimal model Virasoro characters]<br>
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* 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.
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**  Trevor Alan Welsh, 2005<br>
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* 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.
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* [http://dx.doi.org/10.1063/1.532925 Central charge and the Andrews–Bailey construction]<br>
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* 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.
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**  Leung Chim, J. Math. Phys. 40, 3761, 1999<br>
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* 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.
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* [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]<br>
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* 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.
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**  A.G. Bytsko, 1999<br>
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* 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.
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* [http://dx.doi.org/10.1016/S0550-3213%2898%2900222-3 Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz]<br>
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* 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.  
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**  A.G. Bytsko, A. Fring, 1998<br>
 
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* [http://arxiv.org/abs/hep-th/9808013 The universal chiral partition function for exclusion statistics]<br>
 
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**  A. Berkovich, B.M. McCoy, 1998<br>
 
−
* [http://dx.doi.org/10.1007/s002200050271 Rogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory]<br>
 
−
**  Alexander Berkovich, Barry M. McCoy, Anne Schilling, 1996<br>
 
−
* [http://dx.doi.org/10.1007/BF00400138 Continued fractions and fermionic representations for characters of M(p,p') minimal models]<br>
 
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**  A. Berkovich and B.M. McCoy, Letters in Mathematical Physics, 1996<br>
 
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* [http://dx.doi.org/10.1142/S0217751X97001110 Virasoro character identities from the Andrews-Bailey construction]<br>
 
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**  Foda, O. and Quano, Y-H. International Journal of Modern Physics A (IJMPA) ,Volume: 12, Issue: 9(1997) pp. 1651-1675<br>
 
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* [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.]<br>
 
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**  A. Berkovich, Nuclear Phys. B 431 (1994), no. 1-2, 315--348, 1994<br>
 
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* [http://dx.doi.org/10.1142/S0217751X94000510 Fermionic Character Sums and the Corner Transfer Matrix]<br>
 
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**  Ezer Melzer, 1993<br>
 
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* [http://dx.doi.org/10.1016/0370-2693%2893%2990194-M Fermionic Sum Representations for Conformal Field Theory Characters]<br>
 
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**  R. Kedem, T.R. Klassen, B.M. McCoy, E. Melzer, Physics Letters B Volume 307, Issues 1-2, 10 June 1993, Pages 68-76<br>
 
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* [http://dx.doi.org/10.1142/S0217751X92003793 The annihilating ideals of minimal models]<br>
 
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** B. Feigin, T. Nakanishi and H. Ooguri, Int. J. Mod. Phys. Suppl. 1A (1992) 217-238
 
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* http://www.ams.org/mathscinet
 
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* [http://www.zentralblatt-math.org/zmath/en/ ]http://www.zentralblatt-math.org/zmath/en/
 
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* [http://arxiv.org/ ]http://arxiv.org/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
 
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* http://dx.doi.org/10.1063/1.532925
 
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==question and answers(Math Overflow)==
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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==blogs==
 
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*  구글 블로그 검색<br>
 
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** http://blogsearch.google.com/blogsearch?q=
 
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** http://blogsearch.google.com/blogsearch?q=
 
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==experts on the field==
 
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* http://arxiv.org/
 
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==links==
 
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
 
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
 
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
 
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* http://functions.wolfram.com/
 
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*
 
 
[[분류:개인노트]]
 
[[분류:개인노트]]
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[[분류:thesis]]
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[[분류:migrate]]

2020년 11월 16일 (월) 06:09 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



related items



books


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.
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