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Showing 1 to 6 of 6 for “"Principal Bundle"”.
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BUNDLE METRICS IN KALUZA-KLEIN THEORIES AND THE CONSISTENCY PROBLEM
In this work, bundle metrics which allow a unified description of gravity and the other interactions, a la Kaluza-Klein theory, are considered. After recalling some basic notions of fiber bundles and Riemannian geometry, it is shown that the transition functions which give the global structure of a …
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Index theorems and magnetic monopoles on asymptotically conic manifolds
… case where [Iota] has constant rank nullspace bundle at infinity, using a b-to-scattering transition calculus of pseudodifferential operators. Finally I discuss magnetic monopoles, which are solutions to the Bogomolny equation ... principal bundle over a complete 3-manifold, and I show how the …
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Some analytic aspects of Vafa-Witten twisted N̳ = 4 supersymmetric Yang-Millseory theory
… Riemannian four-manifold equipped with a principal bundle, we investigate the moduli spaceMVW of solutions to the Vafa-Witten equations. These equations arise from a twist of N = 4 supersymmetric Yang-Mills theory. Physicists believe that this theory has a well-defined partition function, …
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Arithmetical, geometrical, and categorical forays into particle physics
… description with the particle moving on a U(1)-principal bundle of the original configuration space, and the symmetry replaced with an associated U(1)-central extension. We demonstrate the power of this technique using a series of examples. For the final foray we look at the inverse Higgs …
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Topological effects in particle physics phenomenology
… to an otherwise redundant description on a principal bundle over the original configuration space, and by promoting the original symmetry group to a central extension thereof. We then demonstrate how harmonic analysis on the extended symmetry group can be used to solve the Schr{\"o}dinger …
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Topics in Weyl geometry and quantum anomalies
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms