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Type IIB Killing spinors and calibrations

Hackett-Jones, Emily J.; Smith, Douglas J.


Emily J. Hackett-Jones


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 AdS5 × S5. These non-static branes have an interesting construction via holomorphic surfaces in 1,2 × 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, E. J., & Smith, D. J. (2004). Type IIB Killing spinors and calibrations. Journal of High Energy Physics, 2004(11),

Journal Article Type Article
Publication Date Nov 1, 2004
Deposit Date Feb 29, 2008
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2004
Issue 11
Keywords D-branes, Supergravity models.
Publisher URL