"RSOS models"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">introduction</h5> | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">introduction</h5> | ||
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* restricted solid-on-solid (RSOS) models | * restricted solid-on-solid (RSOS) models | ||
* also called as ABF(Andrews-Baxter-Forrester models) | * also called as ABF(Andrews-Baxter-Forrester models) | ||
| 19번째 줄: | 18번째 줄: | ||
* neighboring points cannot have heights which differ much from each other<br> | * neighboring points cannot have heights which differ much from each other<br> | ||
* local energy density is given by the surface energy<br> | * local energy density is given by the surface energy<br> | ||
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| + | <h5 style="line-height: 2em; margin: 0px;">height variable</h5> | ||
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| + | * to each site i, we assign a height variable<br> | ||
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| 41번째 줄: | 50번째 줄: | ||
| − | <h5 style="line-height: 2em; margin: 0px;">knots | + | <h5 style="line-height: 2em; margin: 0px;">knots and links</h5> |
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| + | * '''[Wu1992]'''<br> | ||
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| 94번째 줄: | 107번째 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> | + | * '''[Wu1992]'''[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) | ** 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> | ||
2010년 9월 25일 (토) 17:19 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
height variable
- to each site i, we assign a height variable
Boltzmann weight
critical RSOS model
- A_3 RSOS model = Ising models
- D_4 RSOS model = 3-states Potts model
knots and links
- [Wu1992]
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
- [Wu1992]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