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

Urs Schreiber1

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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.


Keywords

Superstrings and Heterotic Strings

Integrable Field Theories

D-branes

 

E-print Number: hep-th/0408161

Cited: by |

Refers: to

PACS

11.15.-q Gauge field theories

11.10.St Bound and unstable states; Bethe-Salpeter equations

11.25.Uv D branes

11.30.Pb Supersymmetry

Subjects

Particle physics and field theory

Dates

Issue 10 (October 2004)

Received 23 August 2004, accepted for publication 14 October 2004

Published 28 October 2004



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