Toward Second-Quantization of D5-Brane

TL;DR

This paper proposes a second-quantization framework for D5-branes based on the topology of their moduli space, introducing cycles that define a Fock space and operators for creation and annihilation.

Contribution

It introduces a novel second-quantization approach for D5-branes using topological cycles of the moduli space, linking geometry to quantum operators.

Findings

Defined topological cycles that resolve D5-brane singularities.

Constructed Fock space from cohomology duals of these cycles.

Established creation and annihilation operators for D5-branes.

Abstract

A framework of second-quantization of D5-branes is proposed. It is based on the study of topology of the moduli space of their low energy effective worldvolume theory. Among the topological cycles which resolve singularities caused by overlapping D5-branes, it is introduced those cycles which duals, constituting a subspace of cohomology group of the moduli space, turn out to define the Fock space of the second-quantized D5-branes. The second-quantized operators are given by creation and annihilation operators of those cycles or their duals.