Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-01-20
JHEP 0503 (2005) 030
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, latex file, minor changes, refs. added
Scientific paper
10.1088/1126-6708/2005/03/030
We consider multiple Euclidean D3-branes in a specific supergravity solution, which consists of a self-dual 5-form RR field in a flat background. We propose a deformation of ${\cal N}=4$ SYM action describing the dynamics of D3-branes in this background. We look at the supersymmetries of ${\cal N}=4$ SYM theory consistent with those preserved by the background. We derive the Chern-Simons action induced by the RR field, and show that the whole action can be supersymmetrized. This we do by deforming the supersymmetry transformations and using the BRST-like characteristic of the unbroken supercharges.
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