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arXiv · 0906.1025

Coset for Hopf fibration and Squashing

Machiko Hatsuda·Shinya Tomizawa
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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.

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Machiko Hatsuda, Shinya Tomizawa. 2009-09-25. Coset for Hopf fibration and Squashing. https://doi.org/10.1088/0264-9381%2F26%2F22%2F225007

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