AdS Spacetimes in M-Theory

Mathematics – Logic

Scientific paper

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Scientific paper

The AdS/CFT correspondence1 has given us many insights into the properties of quantum gravity with a negative cosmological constant. In this contibution, we will describe ongoing progress in the classification of supersymmetric AdS solutions of M-theory,2 together with the construction of many new infinite familes of explicit AdS3 solutions, dual to { N} = (2, 0) superconformal field theories in two dimensions.3,4 We have two major motivations in performing this classification, the first being to explore the general geometrical properties of all AdS spacetimes of a given dimensionality and supersymmetry, and so map out the space of supergravity duals of CFT ground states in M-theory. Secondly, the geometrical insight this provides is of much value in the construction of explicit new solutions, which we have been able to exploit...

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