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

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

1993-06-26

arxiv.org/abs/hep-th/9306140v1

Class.Quant.Grav.11:11-30,1994

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0264-9381/11/1/006

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.

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