S-Duality, Noncritical Open String and Noncommutative Gauge Theory

TL;DR

This paper explores S-duality in four-dimensional noncommutative gauge theories, revealing the duality's effect on noncommutative deformations, open string excitations, and the high-energy behavior of the theories.

Contribution

It explicitly formulates S-duality in noncommutative gauge theories and identifies the dual excitations as open F-strings and Wilson lines, providing new insights into their dynamics.

Findings

S-dual of noncommutative gauge theory involves dual noncommutative deformation

Open D-strings map to open F-strings under S-duality

High-energy limit describes delocalized multiple F-string dynamics

Abstract

We examine several aspects of S-duality of four-dimensional noncommutative gauge theory. By making duality transformation explicit, we find that S-dual of noncommutative gauge theory is defined in terms of dual noncommutative deformation. In `magnetic' noncommutative U(1) gauge theory, we show that, in addition to gauge bosons, open D-strings constitute important low-energy excitations: noncritical open D-strings. Upon S-duality, they are mapped to noncritical open F-strings. We propose that, in dual `electric' noncommutative U(1) gauge theory, the latters are identified with gauge-invariant, open Wilson lines. We argue that the open Wilson lines are chiral due to underlying parity noninvariance and obey spacetime uncertainty relation. We finally argue that, at high energy-momentum limit, the `electric' noncommutative gauge theory describes correctly dynamics of delocalized multiple F-strings.