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Sasaki-Einstein Geometry, GK Geometry and the AdS/CFT correspondence

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arxiv 2503.01950 v2 pith:SPO3CJD2 submitted 2025-03-03 hep-th math-phmath.DGmath.MP

Sasaki-Einstein Geometry, GK Geometry and the AdS/CFT correspondence

classification hep-th math-phmath.DGmath.MP
keywords geometrycorrespondencesasaki-einsteinaspectsbeenconsiderationscorrespondingdual
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We review various aspects of Sasaki-Einstein and GK geometry, emphasising their similarities, interconnections and significance for the AdS/CFT correspondence. In particular, we highlight the key role that physical considerations have played in formulating geometric extremization principles, which have been instrumental in both understanding the geometry and identifying the corresponding dual field theories.

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