TY - JOUR
T1 - On the generality of the LLM geometries in M-theory
AU - Colgáin, Eoin O.
AU - Wu, Jun Bao
AU - Yavartanoo, Hossein
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
KW - AdS-CFT correspondence
KW - M-Theory
KW - Supergravity models
UR - http://www.scopus.com/inward/record.url?scp=80053155080&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2011)002
DO - 10.1007/JHEP04(2011)002
M3 - Article
AN - SCOPUS:80053155080
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 4
M1 - 2
ER -