The geometric framework for N=2 superconformal field theories are described by studying susy2 curves - a nickname for N=2 super Riemann surfaces. It is proved that "single" susy2 curves are actually split supermanifolds, and their local model is a Serre self-dual locally free sheaf of rank two over a smooth algebraic curve. Superconformal structures on these sheaves are then examined by setting up deformation theory as a first step in studying moduli problems. © 1990 American Institute of Physics.
Falqui, G., Reina, C. (1990). N=2 super Riemann surfaces and algebraic geometry. JOURNAL OF MATHEMATICAL PHYSICS, 31(4), 948-952 [10.1063/1.528775].
N=2 super Riemann surfaces and algebraic geometry
FALQUI, GREGORIO;
1990
Abstract
The geometric framework for N=2 superconformal field theories are described by studying susy2 curves - a nickname for N=2 super Riemann surfaces. It is proved that "single" susy2 curves are actually split supermanifolds, and their local model is a Serre self-dual locally free sheaf of rank two over a smooth algebraic curve. Superconformal structures on these sheaves are then examined by setting up deformation theory as a first step in studying moduli problems. © 1990 American Institute of Physics.
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