On the generality of the LLM geometries in M-theory

Details On the generality of the LLM geometries in M-theory On the generality of the LLM geometries in M-theory

2010-10-28

arxiv.org/abs/1010.5982v2

JHEP 1104:002,2011

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, v2. minor improvements

Scientific paper

10.1007/JHEP04(2011)002

In this note we revisit the Lin, Lunin, Maldacena (LLM) class of d=11 supergravity solutions with symmetry SO(6) X SO(3) X R, but generalise to allow for all fluxes consistent with the isometries. Using the Killing spinor equation, we prove there are no supersymmetric geometries with additional fluxes beyond the LLM ansatz. In addition, the LLM relationship between Killing spinors, \epsilon_- = - \gamma_5 \epsilon_+, may be seen as a consequence of identifying two Killing directions identified through the Killing spinor equation corresponding to candidate R-symmetry directions.

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