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

Stijn Nevens, Alexandre Sevrin, Alexander Wijns, Walter Troost

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.
Original languageEnglish
Article number86
Pages (from-to)1-24
Number of pages25
JournalThe Journal of high energy physics
Volume2006
Issue number8
Publication statusPublished - Aug 2006

Keywords

  • superspaces; D-branes; sigma models

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