5 Citations
The supermoduli space of genus zero SUSY curves with Ramond punctures
- Mathematics
- 2019
We give an explicit construction of the supermoduli space $\mathfrak{M}_{0, n_R}$ of super Riemann surfaces (SUSY curves) of genus zero with $n_R \ge 4$ Ramond punctures as a quotient Deligne-Mumford…
Geometry of Dual Pairs of Complex Supercurves
- Mathematics
- 2011
Supercurves are a generalization to supergeometry of Riemann surfaces or algebraic curves. I review the definitions, examples, key results, and open problems in this area.
On the Geometry of Super Riemann Surfaces
- Mathematics
- 2011
Super Riemann surfaces-1|1 complex supermanifolds with a SUSY-1 structure- 4 furnish a rich field of study in algebraic supergeometry.
The supermoduli space of genus zero super Riemann surfaces with Ramond punctures
- MathematicsJournal of Geometry and Physics
- 2022
Notes on super Riemann surfaces and their moduli
- MathematicsPure and Applied Mathematics Quarterly
- 2019
These are notes on the theory of super Riemann surfaces and their moduli spaces, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS…
References
SHOWING 1-10 OF 22 REFERENCES
Line bundles on super Riemann surfaces
- Mathematics
- 1988
We give the elements of a theory of line bundles, their classification, and their connections on super Riemann surfaces. There are several salient departures from the classical case. For example, the…
On Decomposing N=2 Line Bundles as Tensor Products of N=1 Line Bundles
- Mathematics
- 2002
We obtain the existence of a cohomological obstruction to expressing N=2 line bundles as tensor products of N=1 bundles. The motivation behind this paper is an attempt at understanding the N=2 super…
Supermoduli spaces
- Mathematics, Physics
- 1990
The connection between different supermoduli spaces is studied. It is shown that the coincidence of the moduli space of (1/1) dimensional complex manifolds andN=2 superconformal moduli space is…
Geometry of superconformal manifolds
- Physics, Mathematics
- 1988
The main facts about complex curves are generalized to superconformal manifolds. The results thus obtained are relevant to the fermion string theory and, in particular, they are useful for…
Algebraic D-modules
- Mathematics
- 1987
Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent,…
Supercurves, their Jacobians, and super KP equations
- Mathematics
- 1996
We study the geometry and cohomology of algebraic super curves, using a new contour integral for holomorphic differentials. For a class of super curves (``generic SKP curves'') we define a period…
Duality between D(X) and with its application to picard sheaves
- MathematicsNagoya Mathematical Journal
- 1981
As is well known, for a real vector space V, the Fourier transformation gives an isometry between L 2(V) and L 2(V v), where V v is the dual vector space of V and < , >: V×V v → R is the canonical…
Analytic D-Modules and Applications
- Mathematics
- 1993
Series Editor's Preface. Preface. Introduction. I: The Sheaf x and its Modules. II: Operations on D-Modules. III: Holonomic D-Modules. IV: Deligne Modules. V: Regular Holonomic D-Modules. VI:…
Notes on String Theory and Two Dimensional Conformal Field Theory
- Physics
- 1986
These lecture notes cover topics in the covariant first quanti1ation of supersymmetric string: super Riemann surlaces, superconformal quantum field theory in two dimensions, the superconformal world…
Super Riemann surfaces: Uniformization and Teichmüller theory
- Mathematics
- 1988
Teichmüller theory for super Riemann surfaces is rigorously developed using the supermanifold theory of Rogers. In the case of trivial topology in the soul directions, relevant for superstring…