RSOS models

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
  

 

 

 

 

 

critical RSOS model

• A_3 RSOS model = Ising models
  
• D_4 RSOS model = 3-states Potts model
  

 

 

 

history

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

related items

• conformal field theory
  
• minimal models
  
• six-vertex model and Quantum XXZ Hamiltonian
  

 

 

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)

• http://mathoverflow.net/search?q=
• http://mathoverflow.net/search?q=

 

 

blogs

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
  • http://blogsearch.google.com/blogsearch?q=

 

 

experts on the field

• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• The On-Line Encyclopedia of Integer Sequences