KPZ analysis for W(3) gravity

Nov, 1992
26 pages
Published in:
  • Nucl.Phys.B 405 (1993) 669-694
e-Print:
Report number:
  • THU-92-34

Citations per year

1993199419951996241
Abstract:
Starting from the covariant action for W3W_3 gravity, we discuss the BRST quantization of W3W_3 gravity. Taking the chiral gauge the BRST charge has a natural interpretation in terms of the quantum Drinfeld--Sokolov reduction for Sl(3,\re). Nilpotency of this charge leads to the KPZ formula for W3W_3. In the conformal gauge, where the covariant action reduces to a Toda action, the BRST charge is equivalent to the one recently constructed by Bershadsky et al.
  • gravitation: induced
  • dimension: 2
  • gravitation: W(3)
  • quantization
  • Hamiltonian formalism
  • transformation: Becchi-Rouet-Stora
  • ghost
  • dependence: gauge