Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 boundary superspace

Abstract

We calculate the beta-functions for an open string sigma-model in the presence of a U(1) background. Passing to N=2 boundary superspace, in which the background is fully characterized by a scalar potential, significantly facilitates the calculation. Performing the calculation through three loops yields the equations of motion up to five derivatives on the fieldstrengths, which upon integration gives the bosonic sector of the effective action for a single D-brane in trivial bulk background fields through four derivatives and to all orders in alpha'. Finally, the present calculation shows that demanding ultra-violet finiteness of the non-linear sigma-model can be reformulated as the requirement that the background is a deformed stable holomorphic U(1) bundle.

25 pages, numerous figures

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Cited by in corpus (7)

• Ectoplasm with an Edge
• An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case
• The world-sheet description of A and B branes revisited
• N = 2 world-sheet approach to D-branes on generalized Kaehler geometries: I. General formalism
• Higher Derivative Corrections to the Abelian Born-Infeld Action using Superspace Methods
• A and B branes from N=2 superspace
• N=2 world-sheet approach to D-branes on generalized Kaehler geometries: II. Dualities