On the generality of the LLM geometries in M-theory

Abstract

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, ε_- = - γ_5 ε_+, may be seen as a consequence of identifying two Killing directions identified through the Killing spinor equation corresponding to candidate R-symmetry directions.

arXiv comment15 pages, v2. minor improvements

References in corpus (6)

• Bubbling AdS space and 1/2 BPS geometries
• The Geometry of D=11 Killing Spinors
• Supersymmetric AdS_5 solutions of M-theory
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
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• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
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• Holographic Flows in non-Abelian T-dual Geometries
• A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs
• The Backreacted Kähler Geometry of Wrapped Branes
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• Beyond LLM in M-theory
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity