Nonlinear Instantons from Supersymmetric p-Branes

Details Nonlinear Instantons from Supersymmetric p-Branes Nonlinear Instantons from Supersymmetric p-Branes

1999-11-25

arxiv.org/abs/hep-th/9911206v3

JHEP 0001:005,2000

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, harvmac; small corrections in sections 3.3 and 3.5, references added

Scientific paper

10.1088/1126-6708/2000/01/005

Supersymmetric configurations of type II D-branes with nonzero gauge field strengths in general supersymmetric backgrounds with nonzero B fields are analyzed using the kappa-symmetric worldvolume action. It is found in dimension four or greater that the usual instanton equation for the gauge field obtains a nonlinear deformation. The deformation is parameterized by the topological data of the B-field, the background geometry and the cycle wrapped by the brane. In the appropriate dimensions, limits and settings these equations reduce to deformed instanton equations recently found in the context of noncommutative geometry as well as those following from Lagrangians based on Bott-Chern forms. We further consider instantons comprised of M5-branes wrapping a Calabi-Yau space with non-vanishing three-form field strengths. It is shown that the instanton equations for the three-form are related to the Kodaira-Spencer equations.

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