Z k parafermion theory

introduction

• parafermionic Hilbert space
• defined by the algebra of parafermionic fields \(\psi_1\) and \(\psi _1^{\dagger }\) of dimension 1-1/k and central charge 2(k-1)/(k+2)
• the highest-weight modules are parametrized by an integer (Dynkin label) l with \(0\leq l < k\)
• \(\mathbb{Z}_k\) parafermion theory is known to be equivalent to the coset \(\hat{\text{su}}(2)_k/\hat{u}(1)\)
• Kac and Petersen (1984) obtained expression for the parafermion characters
• Lepowsky-Primc (1985) expression in fermionic form
• third expression

 

 

\(\mathbb{Z}_{n+1}\) theory

• central charge
  \(\frac{2n}{n+3}\)
  

 

 

 

history

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

 

 

related items

• CFT on torus and modular invariant partition functions
• Ising models
• 3-states Potts model

 

 

 

encyclopedia

• http://en.wikipedia.org/wiki/
• http://www.scholarpedia.org/
• http://www.proofwiki.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=

 

 

 

 

 

articles

• Keegan, Sinéad, and Werner Nahm. 2011. “Nahm’s conjecture and coset models.” 1103.4986 (March 25). http://arxiv.org/abs/1103.4986
• Fortin, J. -F, P. Mathieu와/과S. O Warnaar. 2006. “Characters of graded parafermion conformal field theory”. hep-th/0602248 (2월 23). [1]http://arxiv.org/abs/hep-th/0602248
• Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma.,Anne Schilling, S. Ole Warnaar, 1999
• Spinons and parafermions in fermion cosets
  
  • D. C. Cabra, Lecture Notes in Physics, 1998, Volume 509/1998, 220-229
    

• Bosonization of ZN parafermions and su(2)N Kac -Moody algebra
  

• Modular invariant partition functions for parafermionic field theories
  
  • D. Gepner and Z. Qiu (1987), Nucl. Phys. B 285, 423.

• Infinite-dimensional Lie algebras, theta functions and modular forms.,Kac, V.G., Peterson, D.H., Adv. Math.53, 125 (1984)
  

• http://www.ams.org/mathscinet
• http://www.zentralblatt-math.org/zmath/en/
• http://arxiv.org/
• http://www.pdf-search.org/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• http://dx.doi.org/10.1007/BFb0105250

 

 

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=
• http://ncatlab.org/nlab/show/HomePage

 

 

experts on the field

• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• 수식표현 안내
• The On-Line Encyclopedia of Integer Sequences
• http://functions.wolfram.com/