3-states Potts model
http://bomber0.myid.net/ (토론)님의 2010년 11월 29일 (월) 18:35 판
introduction
- 3-states Potts model = M(5,6) minimal model
- two modular invariant partition functions
- c=4/5, effective central charge=4/5
- having the Z_3 symmetry W_3 algebra (W-algebra)
\(m= 5\)
\(c = \frac{4}{5}\)
\(h_{r,s}(c) = {((m+1)r-ms)^2-1 \over 4m(m+1)}\)
\(r = 1, 2, 3,4\) and \(s= 1, 2, 3,\cdots, r\) i.e. \(1\leq s\leq r< 5\)
( or \(1\leq r< s\leq m\) condition is also used)
history
encyclopedia
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
[[4909919|]]
articles
- On thermodynamic approaches to conformal field theory
- Jose Gaite, Nuclear Physics B Volume 525, Issue 3, 17 August 1998, Pages 627-640
- Jose Gaite, Nuclear Physics B Volume 525, Issue 3, 17 August 1998, Pages 627-640
- Thermodynamics of the 3-state Potts Spin chain
- Rinat Kedem, 1992
- Rinat Kedem, 1992
- Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models
- Al. B. Zamolodchikov, 1990
- Al. B. Zamolodchikov, 1990
- Integrals of Motion in Scaling 3-STATE Potts Model Field Theory.
- Zamolodchikov, A,
- Zamolodchikov, A,
- Conformal quantum field theory models in two dimensions having Z3 symmetry
- V. A. Fateev and A. B. Zamolodchikov, Nuclear Phys. B 280 (1987), no. 4, 644–660.
- V. A. Fateev and A. B. Zamolodchikov, Nuclear Phys. B 280 (1987), no. 4, 644–660.
- 논문정리
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html[1]
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
- http://dx.doi.org/10.1007/BF01049954
question and answers(Math Overflow)
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