On the generality of the LLM geometries in M-theory
On the generality of the LLM geometries in M-theory
复制标题
论M理论中LLM几何的一般性
DOI：
10.1007/jhep04(2011)002
复制
发表时间：
2010
影响因子：
5.4
通讯作者：
H. Yavartanoo
中科院分区：
文献类型：
--
作者：
E. Ó Colgáin;Jun;H. Yavartanoo
在本文中，我们重新讨论了具有SO（6）× SO（3）× R对称性的d = 11超引力解的Lin，Lunin，Maldacena（LLM）类，但推广到所有通量都与等距线一致。利用Killing旋量方程，我们证明了在LLM模型之外不存在具有额外通量的超对称几何。此外，Killing旋量之间的LLM关系，<$− = − γ5 <$+，可以被看作是通过Killing旋量方程识别出的两个Killing方向对应于候选R对称方向的结果。
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.