A Note on Intersecting and Fluctuating Solitons in 4D Noncommutative Field Theory

TL;DR

This paper studies the behavior of intersecting and fluctuating solitons in four-dimensional noncommutative field theory, revealing zero modes associated with deformations and intersections of these solitons.

Contribution

It identifies holomorphic deformations as zero modes and discovers a localized zero mode at soliton intersections in noncommutative 4D field theory.

Findings

Holomorphic deformations are zero modes of flat branes.

A zero mode is localized at the intersection of two solitons.

Analysis is conducted in the large noncommutativity limit.

Abstract

We examine the intersections, fluctuations and deformations of codimension two solitons in field theory on noncommutative $R^4$, in the limit of large noncommutativity. We find that holomorphic deformations are zero modes of flat branes, and we show that there is a zero mode localized at the intersection of two solitons.