On D-brane action at order ${\alpha }^{\prime 2}$

Abstract

We use compatibility of D-brane action with linear T-duality, S-duality and with S-matrix elements as guiding principles to find all world volume couplings of one massless closed and two open strings at order ${\alpha }^{\prime 2}$ in type II superstring theories. In particular, we find that the squares of second fundamental form appear only in world volume curvatures, and confirm the observation that dilaton appears in string frame action via the transformation ${\hat{R}}_{\mu \nu }\to {\hat{R}}_{\mu \nu }+{\nabla }_{\mu }{\nabla }_{\nu }\Phi$.

Latex file, 20 pages, no figure; V2: the version appears in PRD

References in corpus (1)

• Ramond-Ramond field strength couplings on D-branes

Cited by in corpus (8)

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• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
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• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field