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Comments on AdS2 solutions of D=11 Supergravity

Nakwoo Kim, Jong-Dae Park

Abstract

We study the supersymmetric solutions of 11-dimensional supergravity with a factor of $AdS_2$ 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.

Comments on AdS2 solutions of D=11 Supergravity

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.

Paper Structure

This paper contains 5 sections, 39 equations.

Table of Contents

  1. Introduction
  2. Ansatz
  3. Spinor bilinears and the consequences of supersymmetry
  4. Examples of $AdS_2$ solutions and their Kähler geometry
  5. Discussions