| Title | N=2 super Riemann surfaces and algebraic geometry |
| Publication Type | Journal Article |
| Year of Publication | 1990 |
| Authors | Reina, C, Falqui, G |
| Journal | J. Math. Phys. 31 (1990), no.4, 948-952 |
| 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. |
| URL | http://hdl.handle.net/1963/807 |
| DOI | 10.1063/1.528775 |
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