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.
1990
31
4
948
952
http://aip.scitation.org/doi/pdf/10.1063/1.528775
Falqui, Gregorio; Reina, Cesare
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/63996
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