"Z k parafermion theory"의 두 판 사이의 차이

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2012년 10월 29일 (월) 07:31 판

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
    \(\frac{2n}{n+3}\)

 

 

 

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