Results 31 to 40 of about 52,641 (188)
Abelian Chern–Simons theory, Stokes’ theorem, and generalized connections
Journal of Geometry and Physics, 2012 Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes' theorem, flux operators and generalized connections. A framing of the holonomy loops arises in our construction, and
Sahlmann, Hanno, Thiemann, Thomas
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On Kähler-like and G-Kähler-like almost Hermitian manifolds
Complex Manifolds, 2020 We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
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A Note on Characteristic Classes [PDF]
, 2006 This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection.
Zhou, Jianwei
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Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]
Communications in Mathematical Physics, 2001 30 pages ...
Dabrowski, Ludwik, GROSSE H., HAJAC P.
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Chern-Simons theory and three-dimensional surfaces [PDF]
, 2006 There are two natural Chern-Simons theories associated with the embedding of a three-dimensional surface in Euclidean space; one is constructed using the induced metric connection -- it involves only the intrinsic geometry, the other is extrinsic and ...
Capovilla R +6 more
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Super Chern–Simons theory and flat super connections on a torus [PDF]
Advances in Theoretical and Mathematical Physics, 2001 We study the moduli space of a super Chern-Simons theory on a manifold with the topology ${\bf R}\times $, where $ $ is a compact surface. The moduli space is that of flat super connections modulo gauge transformations on $ $, and we study in detail the case when $ $ is atorus and the supergroup is $OSp(m|2n)$.
Miković, A., Picken, R.
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Topological linear response of hyperbolic Chern insulators
SciPost PhysicsWe establish a connection between the electromagnetic Hall response and band topological invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless-Kohmoto-Nightingale-den Nijs (TKNN) formula.
Canon Sun, Anffany Chen, Tomáš Bzdušek, Joseph Maciejko
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L lines, C points and Chern numbers: understanding band structure topology using polarization fields
New Journal of Physics, 2017 Topology has appeared in different physical contexts. The most prominent application is topologically protected edge transport in condensed matter physics. The Chern number, the topological invariant of gapped Bloch Hamiltonians, is an important quantity
Thomas Fösel +2 more
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Holographic spin liquids and Lovelock Chern-Simons gravity
Journal of High Energy Physics, 2020 We explore the role of torsion as source of spin current in strongly interacting conformal fluids using holography. We establish the constitutive relations of the basic hydrodynamic variables, the energy-momentum tensor and the spin current based on the ...
A.D. Gallegos, U. Gürsoy
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Chern-Dirac bundles on non-K\"ahler Hermitian manifolds
, 2017 We introduce the notions of Chern-Dirac bundles and Chern-Dirac operators on Hermitian manifolds. They are analogues of classical Dirac bundles and Dirac operators, with Levi-Civita connection replaced by Chern connection.
Pediconi, Francesco
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