Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-27
JHEP 0608:086,2006
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, numerous figures
Scientific paper
10.1088/1126-6708/2006/08/086
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.
Nevens Stijn
Sevrin Alexander
Troost Walter
Wijns Alexander
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