Morphisms from Azumaya prestable curves with a fundamental module to a projective variety: Topological Dstrings as a master object for curves
Abstract
This is a continuation of our study of the foundations of Dbranes from the viewpoint of Grothendieck in the region of the related Wilson's theoryspace where "branes" are still branes. In this work, we focus on Dstrings and construct the moduli stack of morphisms from Azumaya prestable curves $C^{Az}$ with a fundamental module ${\cal E}$ to a fixed target $Y$ of a given combinatorial type. Such a morphism gives a prototype for a Wickrotated Dstring of Btype on $Y$, following the PolchinskiGrothendieck Ansatz, and this stack serves as a ground toward a mathematical theory of topological Dstring worldsheet instantons.
 Publication:

arXiv eprints
 Pub Date:
 September 2008
 DOI:
 10.48550/arXiv.0809.2121
 arXiv:
 arXiv:0809.2121
 Bibcode:
 2008arXiv0809.2121L
 Keywords:

 Mathematics  Algebraic Geometry;
 High Energy Physics  Theory;
 Mathematics  Symplectic Geometry;
 14A22;
 81T30
 EPrint:
 30 pages