Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-11
JHEP0411:029,2004
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, no figures; v2 some minor corrections and changes of sign for consistency of conventions, references added; v3 equat
Scientific paper
10.1088/1126-6708/2004/11/029
In this paper we derive the full set of differential equations and some algebraic relations for p-forms constructed from type IIB Killing spinors. These equations are valid for the most general type IIB supersymmetric backgrounds which have a non-zero NS-NS 3-form field strength, H, and non-zero R-R field strengths, G^{(1)}, G^{(3)} and G^{(5)}. Our motivation is to use these equations to obtain generalised calibrations for branes in supersymmetric backgrounds. In particular, we consider giant gravitons in AdS_5 x S^5. These non-static branes have an interesting construction via holomorphic surfaces in C^{1,2} x C^3. We construct the p-forms corresponding to these branes and show that they satisfy the correct differential equations. Moreover, we interpret the equations as calibration conditions and derive the calibration bound. We find that giant gravitons minimise ``energy minus momentum''.
Hackett-Jones Emily J.
Smith Douglas J.
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