Results 21 to 30 of about 51,886 (188)
Chern-Simons Field Theory and Completely Integrable Systems [PDF]
, 1996 We show that the classical non-abelian pure Chern-Simons action is related in a natural way to completely integrable systems of the Davey-Stewartson hyerarchy, via reductions of the gauge connection in Hermitian spaces and by performing certain gauge ...
Arkadiev +16 more
core +3 more sources
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
doaj +1 more source
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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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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Complete factorization in minimal N=4 $$ \mathcal{N}=4 $$ Chern-Simons-matter theory
Journal of High Energy Physics, 2018 We investigate an N=4UNk×UN+M−k $$ \mathcal{N} = 4\;\mathrm{U}{(N)}_k\times \mathrm{U}{\left(N+M\right)}_{-k} $$ Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2N + M dimensional ...
Tomoki Nosaka, Shuichi Yokoyama
doaj +1 more source
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
doaj +1 more source
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
core +1 more source
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
core +4 more sources
Anyons, 't Hooft loops and a Generalized Connection in Three Dimensions
, 2002 We consider a generalized connection in three dimensions and show that it emerges in Chern-Simons-Maxwell theories when one studies the disorder instanton operator.
A. Alekseev +28 more
core +2 more sources