Extended N=2 superconformal structure of gravity and W gravity coupled to matter

Oct, 1992
45 pages
Published in:
  • Nucl.Phys.B 401 (1993) 304-347
e-Print:
Report number:
  • CERN-TH-6694-92,
  • CALT-68-1832,
  • HUTP-A-61-92,
  • USC-92-021

Citations per year

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Abstract:
We show that almost all string theories, including the bosonic string, the superstring and WW-string theories, possess a twisted \nex2 superconformal symmetry. This enables us to establish a connection between topological gravity and the field theoretical description of matter coupled to gravity. We also show how the \brs operators of the WnW_n-string can be obtained by hamiltonian reduction of SL(nn1)SL(n|n-1). The tachyonic and ground ring states of WW-strings are described in the light of the \nex2 superconformal structure, and the ground ring generators for the non-critical W3W_3-string are explicitly constructed. The relationship to G/GG/G models and quantum integrable systems is also briefly described.
  • string model: boson
  • supersymmetry
  • algebra: W(N)
  • symmetry: conformal
  • dimension: 2
  • gravitation: topological
  • coupling: matter
  • matter: coupling
  • Hamiltonian formalism
  • algebra: Becchi-Rouet-Stora