Topological Field Theory and Second-Quantized Five-Branes

TL;DR

This paper develops a six-dimensional topological field theory to describe D5-brane ground states, identifying observables as creation operators for bound states and proposing a second quantization framework for five-branes.

Contribution

It introduces a novel topological field theory for D5-branes and establishes a second quantization approach for five-branes based on topological invariants.

Findings

Identified physical observables as Poincaré duals of cycles in the moduli space.

Connected bound states of five-branes with topological cycles, ensuring stability.

Discussed the partition function of second-quantized five-branes.

Abstract

We construct the six-dimensional topological field theory appropriate to describe the ground-state configurations of D5-branes. A close examination on the degenerations of D5-branes gives us the physical observables which can be regarded as the Poincar\'e duals of the cycles of the moduli space. These observables are identified with the creation opeartors of the bound states of D5-branes and lead to the second quantization of five-branes. This identification of the bound states with the cycles also provides their topological stability and suggests that the bound states of five-branes have internal structures. The partition function of the second-quantized five-branes is also discussed.