On the generality of the LLM geometries in M-theory

Eoin O. Colgáin, Jun Bao Wu, Hossein Yavartanoo

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

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- = -γ5ε+, may be seen as a consequence of identifying two Killing directions identified through the Killing spinor equation corresponding to candidate R-symmetry directions.

Original languageEnglish
Article number2
JournalJournal of High Energy Physics
Volume2011
Issue number4
DOIs
Publication statusPublished - 2011
Externally publishedYes

Keywords

  • AdS-CFT correspondence
  • M-Theory
  • Supergravity models

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