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City University of New York (CUNY)

Elementary Particles and Fields and String Theory

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Black Hole

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New Classical Solutions In Supergravity, Zhibai Zhang Jun 2016

New Classical Solutions In Supergravity, Zhibai Zhang

Dissertations, Theses, and Capstone Projects

In this Ph.D. thesis we construct three classes of new solutions to supergravity theories in various dimensions and study their properties. The first class is reduction ansatz of 10D and 11D supergravity on Ricci-flat and noncompact manifolds. These reductions are from a scaling limit of the famous spherical reductions, and can be solely supported by warp factors. The second class contains a large number of String/M theory solutions that have Lifshitz or Schrodinger scaling symmetry, obtained from marginally deforming the geometry of internal dimensions of previous solutions. We propose that these new solutions are dual to marginal deformations of certain …