G structures, fluxes and calibrations in M theory
By D. Martelli, J. Sparks. 2003
186 citations recorded by the source corpus.
We study the most general supersymmetric warped M-theory backgrounds with non-trivial G-flux of the type R^{1,2} x M_8 and AdS_3 x M_8. We give a set of necessary and sufficient conditions for preservation of supersymmetry which are phrased in terms of G-structures and their intrinsic torsion. These equations may be interpreted as calibration conditions for a static ``dyonic'' M-brane, that is, an M5-brane with self-dual three-form turned on. When the electric flux is turned off we obtain the supersymmetry conditions and non-linear PDEs describing M5-branes wrapped on associative and special Lagrangian three-cycles in manifolds with G_2 and SU(3) structures, respectively. As an illustration of our formalism, we recover the 1/2-BPS dyonic M-brane, and also construct some new examples.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f6544b7feeef3b1b0fdc92521411da8e66e4fb12
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- An introduction to potential theory in calibrated geometry (2007, background): “Calibrated manifolds have attracted particular attention in recent years due to their appearance in generalized Donaldson theories ([DT], [Ti]) and in modern versions of string theory in Physics ([GLW], [GP], [AFS], [Her], [ MS ], [G], [EM], [GW], [MC] for example).”
- Supersymmetric AdS5 solutions of M-theory (2004, background): “[23], it is useful to write ǫ = 1 √ 2 ξ ǫ− = − 1 √ 2 iγ7ξ .”
- Flux-induced SUSY-breaking soft terms (2003, background): “It would be interesting to understand the relation to other supersymmetric flux configuration in the literature [37].”
- Flux compactifications in string theory: A Comprehensive review (2005, methodology): “We will skip the details of the derivation done in [59] (see also Refs.”
- Supersymmetric AdS5 solutions of type IIB supergravity (2005, background): “(We drop the dK4 condition since the linear dependence means it is implied by the other vector bilinear conditions.) As expected, starting with the work [30] and others following this (in particular, see [5, 31, 32 , 33, 34]), we note that these differential conditions are written in a form reminis”
- BUBBLING GEOMETRIES FOR HALF-BPS WILSON LINES (2006, unknown): “In [14], they have obtained some necessary and sufficient conditions for AdS3 × X geometry.”