The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
A New Class of Topological Field Theories and the Ray-singer Torsion
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Boundary of Maxwell-BF theory induces 3D dual scalar-vector theory with strong-weak coupling duality separated into different covariant regimes.
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A Physicist's Visit to Exotic Spheres
The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
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Topologically protected duality on the boundary of Maxwell-BF theory
Boundary of Maxwell-BF theory induces 3D dual scalar-vector theory with strong-weak coupling duality separated into different covariant regimes.