Coset for Hopf fibration and Squashing

Abstract

We provide a simple derivation of metrics for fundamental geometrical deformations such as Hopf fibration, squashing and Z_k quotient which play essential roles in recent studies on the AdS4/CFT3. A general metric formula of Hopf fibrations for complex and quaternion cosets is presented. Squashing is given by a similarity transformation which changes the metric preserving the isometry symmetry of the projective space. On the other hand Z_k quotient is given as a lens space which changes the topology preserving the "local" metric.

19 pages, accepted for publication in Class. Quant. Gravity

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Cited by in corpus (7)

• Yangian symmetry in deformed WZNW models on squashed spheres
• Hidden Yangian symmetry in sigma model on squashed sphere
• Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
• Non-integrability and Chaos with Unquenched Flavor
• Extremal Charged Black Holes with a Twisted Extra Dimension
• Generating rotating black hole solutions by using the Cayley-Dickson construction
• The Standard Model Symmetry and Qubit Entanglement