The geometric framework for N=2 superconformal field theories are described by studying susy2curves - a nickname for N=2 super Riemann surfaces. It is proved that "single" susy2curves 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.
N=2 super Riemann surfaces and algebraic geometry / Falqui, Gregorio; Reina, Cesare. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 31:4(1990), pp. 948-952. [10.1063/1.528775]
N=2 super Riemann surfaces and algebraic geometry
Falqui, Gregorio;Reina, Cesare
1990-01-01
Abstract
The geometric framework for N=2 superconformal field theories are described by studying susy2curves - a nickname for N=2 super Riemann surfaces. It is proved that "single" susy2curves 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.| File | Dimensione | Formato | |
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