Non-commutative moduli spaces of topological D-branes

TL;DR

This paper constructs extended moduli spaces of topological D-branes as non-commutative algebraic varieties, revealing that noncommutative symplectic geometry naturally appears in String Theory.

Contribution

It introduces a general framework for moduli spaces of D-branes using non-commutative algebraic geometry, linking string theory and noncommutative symplectic structures.

Findings

Noncommutative symplectic geometry arises naturally in string theory.

Extended moduli spaces of D-branes can be modeled as non-commutative algebraic varieties.

The construction provides a new perspective on the geometric structure of D-branes.

Abstract

We give a general construction of extended moduli spaces of topological D-branes as non-commutative algebraic varieties. This shows that noncommutative symplectic geometry in the sense of Kontsevich arises naturally in String Theory.