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

Published 28 October 2004 Published under licence by IOP Publishing Ltd
, , Citation Urs Schreiber JHEP10(2004)035 DOI 10.1088/1126-6708/2004/10/035

1126-6708/2004/10/035

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.

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10.1088/1126-6708/2004/10/035