Results 11 to 20 of about 414 (184)
Gravitational Faraday holonomy
European Physical Journal C: Particles and FieldsClosed optical trajectories in Kerr spacetime are engineered to exhibit a marked lack of symmetry. The eccentricity manifests as a holonomy in gravitational Faraday rotation that can be made arbitrarily large by radial translation of the common location ...
Blake A. Parvin, Mark T. Lusk
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Journal of the Australian Mathematical Society, 2019 AbstractWe construct a cycle in higher Hochschild homology associated to the two-dimensional torus which represents 2-holonomy of a nonabelian gerbe in the same way as the ordinary holonomy of a principal G-bundle gives rise to a cycle in ordinary Hochschild homology. This is done using the connection 1-form of Baez–Schreiber.
Abbaspour, Hossein, Wagemann, Friedrich
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Conformal holonomy equals ambient holonomy [PDF]
Pacific Journal of Mathematics, 2016 This paper studies the relation between two notions of holonomy on a conformal manifold. The first is the conformal holonomy, defined to be the holonomy of the normal tractor connection. The second is the holonomy of the Fefferman-Graham ambient metric of the conformal manifold.
Cap, Andreas +3 more
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Pairing particles into holonomies. [PDF]
Sci AdvHolonomies are of great interest to quantum computation and simulation. The geometrical nature of holonomies offers increased stability to quantum gates. Furthermore, symmetries of particle physics are naturally reflected in holonomies, making them ideally suited for quantum simulation of quantum chromodynamics and grand unified theories.
Neef V +3 more
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Journal of the European Mathematical Society, 2023 Let (M,g) be a smooth Anosov Riemannian manifold and \mathcal{C}^\sharp the set of its primitive closed geodesics. Given a Hermitian vector bundle
Mihajlo Cekić, Thibault Lefeuvre
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Journal of the London Mathematical Society, 1977 This result is also due independently to G. Hector [3], who has shown how useful it can be in understanding the geometry of certain foliated manifolds. In such applications one sometimes needs a form of this theorem which applies to foliated subspaces, for example a minimal subset of a foliation.
Epstein, D. B. A. +2 more
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On two-dimensional holonomy [PDF]
Transactions of the American Mathematical Society, 2010 We define the thin fundamental categorical group P
Martins, João Faria, Picken, Roger
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Journal of Physics A: Mathematical and General, 2003 We provide a method and the results for the calculation of the holonomy of a Yang-Mills connection in an arbitrary triangular path, in an expansion (developed here to fifth order) in powers of the corresponding segments. The results might have applications in generalizing to Yang-Mills fields previous calculations of the corrections to particle ...
Alfaro Solís, Jorge Luis +3 more
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Holonomy and Skyrme's Model [PDF]
Communications in Mathematical Physics, 2003 In this paper we consider two generalizations of the Skyrme model. One is a variational problem for maps from a compact three-manifold to a compact Lie group. The other is a variational problem for flat connections. We describe the path components of the configuration spaces of smooth fields for each of the variational problems.
Auckly, Dave, Kapitanski, Lev
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Flat equivariant gerbes: holonomies and dualities
Journal of High Energy Physics, 2023 We examine the role of global topological data associated to choices of holonomy for flat gauge fields in string compactification. Our study begins with perturbative string compactification on compact flat manifolds preserving 8 supercharges in 5 ...
Peng Cheng +2 more
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