On the generality of the LLM geometries in M-theory

In this note we revisit the Lin, Lunin, Maldacena (LLM) class of d = 11 supergravity solutions with symmetry SO(6) × SO(3) × 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 f...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2011; no. 4
Main Authors Ó Colgáin, Eoin, Wu, Jun-Bao, Yavartanoo, Hossein
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.04.2011
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Elementary Particles
Fluxes
High energy physics
M theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Supergravity
Symmetry
Supergravity Models
AdS-CFT Correspondence
M-Theory
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Summary:In this note we revisit the Lin, Lunin, Maldacena (LLM) class of d = 11 supergravity solutions with symmetry SO(6) × SO(3) × 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 − = − γ5 ϵ + , may be seen as a consequence of identifying two Killing directions identified through the Killing spinor equation corresponding to candidate R -symmetry directions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2011)002