Infinitely many rigid symmetries of kappa-invariant D-string actions

TL;DR

The paper demonstrates that kappa-invariant D-string actions possess infinitely many symmetries, including supersymmetries, extending to more general two-dimensional and higher-dimensional actions with gauge fields.

Contribution

It establishes the existence of infinitely many symmetries in kappa-invariant D-string actions and their generalizations, revealing a rich symmetry structure beyond known cases.

Findings

Infinitely many symmetries are contained in each rigid symmetry of D-string actions.

Kappa-invariant D-string actions have infinitely many supersymmetries.

The result applies to a broad class of actions depending on gauge fields via the field strength.

Abstract

We show that each rigid symmetry of a D-string action is contained in a family of infinitely many symmetries. In particular, kappa-invariant D-string actions have infinitely many supersymmetries. The result is not restricted to standard D-string actions, but holds for any two-dimensional action depending on an abelian world-sheet gauge field only via the field strength. It applies thus also to manifestly $SL(2,Z)$ covariant D-string actions. Furthermore, it extends analogously to $d$-dimensional actions with $(d-1)$-form gauge potentials, such as brane actions with dynamical tension.