Morphisms from Azumaya prestable curves with a fundamental module to a projective variety: Topological D-strings as a master object for curves
نویسندگان
چکیده
This is a continuation of our study of the foundations of D-branes from the viewpoint of Grothendieck in the region of the related Wilson’s theory-space where “branes” are still branes. In this work, we focus on D-strings and construct the moduli stack of morphisms from Azumaya prestable curves C with a fundamental module E to a fixed target Y of a given combinatorial type. Such a morphism gives a prototype for a Wick-rotated D-string of B-type on Y , following the Polchinski-Grothendieck Ansatz, and this stack serves as a ground toward a mathematical theory of topological D-string world-sheet instantons.
منابع مشابه
yymm.nnnn [math.AG] D(5): B-field effect Nontrivial Azumaya noncommutative schemes, morphisms therefrom,
In this continuation of [L-Y1], [L-L-S-Y], [L-Y2], and [L-Y3] (arXiv:0709.1515 [math.AG], arXiv:0809.2121 [math.AG], arXiv:0901.0342 [math.AG], arXiv:0907.0268 [math.AG]), we study D-branes in a target-space(-time) with a fixed B-field background (Y, αB) along the line of the Polchinski-Grothendieck Ansatz, explained in [L-Y1] and further extended in the current work. We focus first on the gaug...
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