Comments on AdS2 solutions of D=11 Supergravity
Nakwoo Kim, Jong-Dae Park
TL;DR
This paper analyzes supersymmetric AdS2 solutions in 11D supergravity with M2-branes, revealing their structure as warped U(1)-fibrations over 8D Kahler spaces, relevant for dual superconformal quantum mechanics and bubbling geometries.
Contribution
It characterizes the internal manifold structure of AdS2 solutions in 11D supergravity with compact internal spaces, identifying them as warped U(1)-fibrations over Kahler bases.
Findings
Internal manifold is a warped U(1)-fibration over Kahler space.
Solutions relate to superconformal quantum mechanics and bubbling geometries.
Provides constraints on geometry for supersymmetric AdS2 solutions.
Abstract
We study the supersymmetric solutions of 11-dimensional supergravity with a factor of made of M2-branes. Such solutions can provide gravity duals of superconformal quantum mechanics, or through double Wick rotation, the generic bubbling geometry of M-theory which are 1/16-BPS. We show that, when the internal manifold is compact, it should take the form of a warped U(1)-fibration over an 8-dimensional Kahler space.
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