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 (which has to be constant due to the definition of the Pohlmeyer invariants) on the boundary state of a bare D9 brane produces the boundary state describing that non-abelian background gauge field on the brane if the only non-trivial commutators among the components of A are those involving a single lightlike component. Known consistency conditions on that boundary state equivalent to the background equations of motion for A hence also apply to the quantized Pohlmeyer invariants.

Key words: Superstrings and Heterotic Strings; D-branes; Integrable Field Theories

E-print number: hep-th/0408161
Cited: by
Refers: to

Received 23 August 2004, accepted for publication 14 October 2004
Published 28 October 2004