Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields

TL;DR

This paper explores the supersymmetric extension of Pohlmeyer invariants and demonstrates how they generate boundary states for non-abelian gauge fields in superstring theory, linking invariants to physical gauge backgrounds.

Contribution

It introduces the super-Pohlmeyer invariants and shows their role in producing boundary states for non-abelian gauge fields, connecting invariants to background equations of motion.

Findings

Super-Pohlmeyer invariants generate boundary states for non-abelian gauge fields.

Boundary state consistency conditions match background gauge field equations.

Quantized invariants obey known superstring boundary state constraints.

Abstract

Aspects of the supersymmetric extension of the Pohlmeyer invariants are studied, and their relation to superstring boundary states for non-abelian gauge fields is discussed. We show that acting with a super-Pohlmeyer invariant with respect to some non-abelian gauge field A on the boundary state of a bare D9 brane produces the boundary state describing that non-abelian background gauge field on the brane. Known consistency conditions on that boundary state equivalent to the background equations of motion for A hence also apply to the quantized Pohlmeyer invariants.