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

Stijn Nevens | Zendy; Alexander Sevrin | Zendy; Walter Troost | Zendy; Alexander Wijns | Zendy

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

Author(s) -

Stijn Nevens,

Alexander Sevrin,

Walter Troost,

Alexander Wijns

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/08/086

Subject(s) - superspace , holomorphic function , effective action , mathematical physics , boundary (topology) , scalar (mathematics) , physics , string (physics) , action (physics) , brane , boundary value problem , equations of motion , integration by parts , mathematical analysis , supersymmetry , classical mechanics , mathematics , quantum mechanics , geometry

We calculate the beta-functions for an open string sigma-model in thepresence of a U(1) background. Passing to N=2 boundary superspace, in which thebackground is fully characterized by a scalar potential, significantlyfacilitates the calculation. Performing the calculation through three loopsyields the equations of motion up to five derivatives on the fieldstrengths,which upon integration gives the bosonic sector of the effective action for asingle D-brane in trivial bulk background fields through four derivatives andto all orders in alpha'. Finally, the present calculation shows that demandingultra-violet finiteness of the non-linear sigma-model can be reformulated asthe requirement that the background is a deformed stable holomorphic U(1)bundle.Comment: 25 pages, numerous figure

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