Quantum Hamiltonian reduction and N=2 coset models

Dec, 1990
6 pages
Published in:
  • Phys.Lett.B 259 (1991) 73-78
  • Published: 1991
Report number:
  • YITP-K-901

Citations per year

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Abstract: (Elsevier)
We study the quantum hamiltonian reduction of the affine Lie superalgebra A( n , n −1) (1) = sl( n + 1, n ) (1) ( n ⩾1), whose central charge is zero. After a BRST gauge fixing the model has a W algebra structure with N = 2 superconformal symmetry. We show that this model is the N = 2 coset model C P n = SU (n + 1)/ SU (n) × U (1) constructed by Kazama and Suzuki. We also discuss a topological field theoretical aspect of the SL ( n + 1, n ) Wess-Zumino-Novikov-Witten model.
  • algebra: Lie
  • algebra: affine
  • supersymmetry: algebra
  • algebra: W-algebra
  • field theory: conformal
  • dimension: 2
  • coset space: SU(N+1)/SU(N) x U(1)
  • Hamiltonian formalism
  • operator product expansion
  • symmetry: Becchi-Rouet-Stora