Killing spinor equations in dimension 7 and geometry of integrable G2-manifolds
By T. Friedrich, Stefan Ivanov. 2001
142 citations recorded by the source corpus.
Abstract We compute the scalar curvature of seven-dimensional G 2 -manifolds admitting a G 2 -connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar curvature of the solution in terms of the dilation function and the NS 3-form field. In dimension n =7 the dilation function involved in the second fermionic string equation has an interpretation as a conformal change of the underlying integrable G 2 -structure into a cocalibrated one of pure type W 3 .
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
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In Applied Mathematics
In Geometry and Topology
- J. Sparks
- D. Martelli
- J. Gauntlett
- D. Waldram
- Alberto Zaffaroni
- Craig van Coevering
- Shing-Tung Yau
- A. Hanany
In Nuclear and High Energy Physics
Citations in the corpus
- G structures, fluxes and calibrations in M theory (2003, background): “Thus, by the results of [46, 47], we indeed have a solution.”
- The geometry of D = 11 Killing spinors (2002, background): “We also deduce what further conditions must be imposed in order that the equations of motion are satisfied.”
- Superstrings with intrinsic torsion (2003, methodology): “The necessary and sufficient conditions for the G2 in d = 7 [8, 9, 10] and Spin(7) in d = 8 [11] cases have also been analysed from this point of view.”
- G-Structures and Wrapped NS5-Branes (2002, methodology): “Geometrical structures of this type have been discussed in [13, 14, 15, 16, 17 , 18] as”