WW Algebras and Coset Models

Mar 23, 1990
7 pages
Part of $W$-Symmetry, 65-71
Published in:
  • Phys.Lett.B 245 (1990) 65-71
  • Published: 1990
Report number:
  • DAMTP-90/01

Citations per year

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Abstract: (Elsevier)
We define a W-algebra as a special class of meromorphic conformal field theory. We then show that there are closed W-algebraic structures in coset models of the form g ̂ 1 n × g ̂ k n / g ̂ k+1 n based on the simple Lie algebras A n , B n , D n and E n , for sufficiently high values of k .
  • field theory: conformal
  • dimension: 2
  • algebra: W(N)
  • algebra: Virasoro
  • algebra: Lie
  • algebra: Kac-Moody
  • algebra: representation
  • coset space
  • operator: vertex
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