Matrix Models and D-branes in Twistor String Theory

TL;DR

This paper develops two matrix models derived from twistor string theory, linking them to D-branes, topological string field theory, and extending super ADHM and Nahm constructions within supertwistor space.

Contribution

It introduces novel matrix models from twistor string theory and connects them to D-branes, topological string field theory, and supersymmetric instanton constructions.

Findings

Constructed two matrix models from twistor string theory.

Linked matrix models to topological D-branes and string field theory.

Extended models to incorporate super ADHM and Nahm constructions.

Abstract

We construct two matrix models from twistor string theory: one by dimensional reduction onto a rational curve and another one by introducing noncommutative coordinates on the fibres of the supertwistor space P^(3|4)->CP^1. We comment on the interpretation of our matrix models in terms of topological D-branes and relate them to a recently proposed string field theory. By extending one of the models, we can carry over all the ingredients of the super ADHM construction to a D-brane configuration in the supertwistor space P^(3|4). Eventually, we present the analogue picture for the (super) Nahm construction.