$N=2$ Super-Weyl Symmetry, Super-Liouville Theory and Super-Riemannian Surfaces

Abstract

The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$ extended fermionic string theory is computed in terms of the $N=2$ superfields, by using a short time expansion of the $N=2$ chiral heat kernel. The super-Weyl invariant $N=2$ superconformal structure is introduced, and a new definition of the $N=2$ super-Riemannian surfaces is proposed.

25 pages, LaTeX, Hannover preprint ITP-UH-18/93, June 1993

References in corpus (2)

• Space-Time Supersymmetry of Extended Fermionic Strings in $2+2$ Dimensions
• Covariant Currents in N=2 Super-Liouville Theory

Cited by in corpus (4)

• Twisting the N=2 String
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models I: Complete Actions and Their Symmetries
• (4,4) superfield supergravity
• Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma Models II: Analytic Solution and BPS States