2004/05/31 by Emily J. Hackett-Jones, Emily Hackett-Jones, Douglas J. Smith · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Differential equation #Differential form #Field (mathematics) #Gravitation #Graviton #Holomorphic function #Killing spinor #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Pure spinor #Quantum mechanics #Spinor #Supergravity #Superstring theory #Supersymmetry #Theoretical physics #Type (biology) #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/11/029
published as JHEP0411:029,2004 · 26 pages, no figures; v2 some minor corrections and changes of sign for consistency of conventions, references added; v3 equations added for dual forms
arxiv created 2004/09/24 · openalex publication_date 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 x S5. These non-static branes have an interesting construction via holomorphic surfaces in C1,2 x C3. 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''.