T-duality Covariance of SuperD-branes

Abstract

T-duality realized on SuperD-brane effective actions probing in constant $G_{mn}$ and $b_{mn}$ backgrounds is studied from a pure world volume point of view. It is proved that requiring {\em T-duality covariance} of such actions ``fixes'' the T-duality transformations of the world volume dynamical fields, and consequently, of the NS-NS and R-R coupling superfields. The analysis is extended to uncover the mapping of the symmetry structure associated with these SuperD-brane actions. In particular, we determine the T-duality transformation properties of kappa symmetry and supersymmetry, which allow us to prove that bosonic supersymmetric world volume solitons of the original theory generate, through T-duality, the expected ones in the T-dual theory. The latter proof is generalized to arbitrary bosonic backgrounds. We conclude with some comments on extensions of our approach to arbitrary kappa symmetric backgrounds, non-BPS D-branes and non-abelian SuperD-branes.

36 pages, no figures, LaTex file; vs2 minor changes, conclucions unchanged, two references added. Final version to appear in Nucl. Phys. B

References in corpus (9)

• String Theory and Noncommutative Geometry
• Dielectric-Branes
• Local BRST cohomology in gauge theories
• Supersymmetric World-volume Action for Non-BPS D-branes
• T-duality and Actions for Non-BPS D-branes
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• Born-Infeld Dynamics in Uniform Electric Field
• Ramond-Ramond couplings of non-BPS D-branes

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• Brane Dualities in Non-relativistic Limit
• D-branes and boundary states in closed string theories
• Moduli Space of Unstable D-branes on a Circle of Critical Radius
• Superfield T-duality rules
• BPS States and Automorphisms
• Superfield T-duality rules in ten dimensions with one isometry
• Remark About T-duality of Dp-Branes
• Investigation of Zero-Modes for a Dynamical D$p$-Brane