IIB Supergravity Revisited

Journal of High Energy Physics (Impact Factor: 6.11). 06/2005; 2005(08). DOI: 10.1088/1126-6708/2005/08/098
Source: arXiv


We show in the SU(1,1)-covariant formulation that IIB supergravity allows the introduction of a doublet and a quadruplet of ten-form potentials. The Ramond-Ramond ten-form potential which is associated with the SO(32) Type I superstring is in the quadruplet. Our results are consistent with a recently proposed $E_{11}$ symmetry underlying string theory. For the reader's convenience we present the full supersymmetry and gauge transformations of {\it all} fields both in the manifestly SU(1,1) covariant Einstein frame and in the real U(1) gauge fixed string frame. Comment: 36 pages; additional comments in section 7, typos corrected in formulae in sections 5 and 6, references added

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Available from: Mees de Roo, Jul 09, 2014
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    • "Since an 11-form is trivial in ten-dimensions, we are only left with the 10-form potential D (10) . A similar phenomenon occurs in the IIB case [9]: the field-strength of the (quadruplet of) 10-forms, considered formally in d > 10 dimensions, contains non-trivial information about the gauge transformations of potentials with rank higher than ten. These observations hint at an underlying algebraic structure which might be independent of the dimensionality of space-time. "
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    ABSTRACT: We show that IIA supergravity can be extended with two independent 10-form potentials. These give rise to a single BPS IIA 9-brane. We investigate the bosonic gauge algebra of both IIA and IIB supergravity in the presence of 10-form potentials and point out an intriguing relation with the symmetry algebra $E_{11}$, which has been conjectured to be the underlying symmetry of string theory/M-theory. Comment: 18 pages, section on IIA 9-branes added, references added; version to be published
    Journal of High Energy Physics 02/2006; 2006(07). DOI:10.1088/1126-6708/2006/07/018 · 6.11 Impact Factor
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    ABSTRACT: We show that the solitonic branes of ten-dimensional IIA/IIB string theory must satisfy, upon toroidal compactification, a specific wrapping rule in order to reproduce the number of half-supersymmetric solitonic branes that follows from a supergravity analysis. The realization of this wrapping rule suggests that IIA/IIB string theory contains a whole class of so-called “non-standard” Kaluza-Klein monopoles.
    Physics of Particles and Nuclei 09/2012; 43(5). DOI:10.1134/S106377961205005X · 0.62 Impact Factor
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    ABSTRACT: We reduce the classification of all supersymmetric backgrounds of IIB supergravity to the evaluation of the Killing spinor equations and their integrability conditions, which contain the field equations, on five types of spinors. This extends the work of [hep-th/0503046] to IIB supergravity. We give the expressions of the Killing spinor equations on all five types of spinors. In this way, the Killing spinor equations become a linear system for the fluxes, geometry and spacetime derivatives of the functions that determine the Killing spinors. This system can be solved to express the fluxes in terms of the geometry and determine the conditions on the geometry of any supersymmetric background. Similarly, the integrability conditions of the Killing spinor equations are turned into a linear system. This can be used to determine the field equations that are implied by the Killing spinor equations for any supersymmetric background. We show that these linear systems simplify for generic backgrounds with maximal and half-maximal number of $H$-invariant Killing spinors, $H\subset Spin(9,1)$. In the maximal case, the Killing spinor equations factorize, whereas in the half-maximal case they do not. As an example, we solve the Killing spinor equations of backgrounds with two $SU(4)\ltimes \bR^8$-invariant Killing spinors. We also solve the linear systems associated with the integrability conditions of maximally supersymmetric $Spin(7)\ltimes\bR^8$- and $SU(4)\ltimes\bR^8$-backgrounds and determine the field equations that are not implied by the Killing spinor equations. Comment: 67 pages
    Classical and Quantum Gravity 07/2005; 23(5). DOI:10.1088/0264-9381/23/5/012 · 3.17 Impact Factor
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