"RSOS models"의 두 판 사이의 차이
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| 7번째 줄: | 7번째 줄: | ||
* IBF(interaction round a face) model | * IBF(interaction round a face) model | ||
* vertex counterpart is Belavin's generalization of the 8-vertex model | * vertex counterpart is Belavin's generalization of the 8-vertex model | ||
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| 33번째 줄: | 35번째 줄: | ||
* A_3 RSOS model = [[Ising models]]<br> | * A_3 RSOS model = [[Ising models]]<br> | ||
| + | * D_4 RSOS model = [[3-states Potts model]]<br> | ||
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| + | <h5 style="line-height: 2em; margin: 0px;">knots a</h5> | ||
| 87번째 줄: | 94번째 줄: | ||
* http://www.iop.org/EJ/article/0305-4470/28/15/014/ja951514.pdf?request-id=532771e8-0c58-4207-91d0-f7f1a3005871<br> | * http://www.iop.org/EJ/article/0305-4470/28/15/014/ja951514.pdf?request-id=532771e8-0c58-4207-91d0-f7f1a3005871<br> | ||
** 1995 | ** 1995 | ||
| + | * [http://www.physics.neu.edu/faculty/wu%20files/pdf/Wu152_RMP64_1099.pdf Knot theory and statistical mechanics.]<br> | ||
| + | ** F. Y. Wu, Rev. Mod. Phys. 64, 1099 (1992) | ||
* [http://dx.doi.org/10.1016/0378-4371%2892%2990149-K Conformal weights of RSOS lattice models and their fusion hierarchies]<br> | * [http://dx.doi.org/10.1016/0378-4371%2892%2990149-K Conformal weights of RSOS lattice models and their fusion hierarchies]<br> | ||
** Klümper, Andreas; Pearce, Paul A., 1992 | ** Klümper, Andreas; Pearce, Paul A., 1992 | ||
| 96번째 줄: | 105번째 줄: | ||
** E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, <em style="line-height: 2em;">Nucl. Phys. B</em> '''290''' (1987), p. 231. | ** E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, <em style="line-height: 2em;">Nucl. Phys. B</em> '''290''' (1987), p. 231. | ||
* [http://www.springerlink.com/content/r522x4086p54u438/ Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities]<br> | * [http://www.springerlink.com/content/r522x4086p54u438/ Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities]<br> | ||
| − | ** George E. Andrews, R. J. Baxter and P. J. Forrester, 1984 | + | ** George E. Andrews, R. J. Baxter and P. J. Forrester, Journal of Statistical PhysicsVolume 35, Numbers 3-4, 193-266,, 1984 |
* [[2010년 books and articles|논문정리]] | * [[2010년 books and articles|논문정리]] | ||
2010년 9월 25일 (토) 05:34 판
introduction
-
- restricted solid-on-solid (RSOS) models
- also called as ABF(Andrews-Baxter-Forrester models)
- class of a spin system
- IBF(interaction round a face) model
- vertex counterpart is Belavin's generalization of the 8-vertex model
physical description
- a rough, discrete analogon of a gently fluctutationg surface of a liquid
- neighboring points cannot have heights which differ much from each other
- local energy density is given by the surface energy
Boltzmann weight
critical RSOS model
- A_3 RSOS model = Ising models
- D_4 RSOS model = 3-states Potts model
knots a
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
- An Elliptic Algebra Uq,p([^(sl2))Uq,p(sl2︿) and the Fusion RSOS Model]
- 1998
- http://www.iop.org/EJ/article/0305-4470/28/15/014/ja951514.pdf?request-id=532771e8-0c58-4207-91d0-f7f1a3005871
- 1995
- Knot theory and statistical mechanics.
- F. Y. Wu, Rev. Mod. Phys. 64, 1099 (1992)
- Conformal weights of RSOS lattice models and their fusion hierarchies
- Klümper, Andreas; Pearce, Paul A., 1992
- Restricted solid-on-solid models connected with simply laced algebras and conformal field theory
- V. Bazhanov, N. Reshetikhin, 1990 J. Phys. A: Math. Gen. 23 1477
- Critical RSOS models and conformal field theory
- V. Bazhanov, N. Reshetikhin, 1988
- Exactly solvable SOS models. Local height probabilities and theta function identities
- E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Nucl. Phys. B 290 (1987), p. 231.
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- George E. Andrews, R. J. Baxter and P. J. Forrester, Journal of Statistical PhysicsVolume 35, Numbers 3-4, 193-266,, 1984
- 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/
question and answers(Math Overflow)
blogs
experts on the field