Induced (N,0) supergravity as a constrained Osp(N/2) WZNW model and its effective action

May, 1992
23 pages
Published in:
  • Nucl.Phys.B 389 (1993) 25-52
e-Print:
Report number:
  • CERN-TH-6458-92

Citations per year

1993199419951996310
Abstract:
A chiral (N,0)(N,0) supergravity theory in d=2 dimensions for any NN and its induced action can be obtained by constraining the currents of an Osp(N|2) WZWN model. The underlying symmetry algebras are the nonlinear SO(N) superconformal algebras of Knizhnik and Bershadsky. The case N=3N=3 is worked out in detail. We show that by adding quantum corrections to the classical transformation rules, the gauge algebra on gauge fields and currents closes. Integrability conditions on Ward identities are derived. The effective action is computed at one loop. It is finite, and can be obtained from the induced action by rescaling the central charge and fields by finite Z factors.
  • supergravity: induced
  • dimension: 2
  • Wess-Zumino-Witten model
  • symmetry: OSp(N|2)
  • effective action
  • perturbation theory: higher-order
  • algebra: conformal
  • algebra: gauge
  • Ward identity
  • integrability