The rigid symmetries of bosonic D-strings

TL;DR

This paper investigates the classical symmetries of bosonic D-string actions, revealing an infinite set of nontrivial rigid symmetries forming a Kac-Moody algebra that act on both target space coordinates and gauge fields.

Contribution

It demonstrates that the simplest bosonic D-string actions possess infinitely many nontrivial rigid symmetries forming a Kac-Moody algebra, extending understanding of their symmetry structure.

Findings

Infinite nontrivial rigid symmetries identified

Symmetries form a Kac-Moody version of the Weyl algebra

Symmetries act nonlinearly on target space and gauge fields

Abstract

We analyse the classical symmetries of bosonic D-string actions and generalizations thereof. Among others, we show that the simplest actions of this type have infinitely many nontrivial rigid symmetries which act nontrivially and nonlinearly both on the target space coordinates and on the U(1) gauge field, and form a Kac-Moody version of the Weyl algebra (= Poincare algebra + dilatations).