Results 51 to 60 of about 52,638 (215)

Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]

open access: yesCommunications in Mathematical Physics, 2001
30 pages ...
Dabrowski, Ludwik, GROSSE H., HAJAC P.
openaire   +3 more sources

Chern-Simons theory and three-dimensional surfaces [PDF]

open access: yes, 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

Topological linear response of hyperbolic Chern insulators

open access: yesSciPost Physics
We 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
doaj   +1 more source

L lines, C points and Chern numbers: understanding band structure topology using polarization fields

open access: yesNew 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
doaj   +1 more source

Holographic spin liquids and Lovelock Chern-Simons gravity

open access: yesJournal 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

open access: yes, 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

Definition of Chern-Simons Terms in Thermal QED_3 Revisited [PDF]

open access: yes, 1997
We present two compact derivations of the correct definition of the Chern-Simons term in the topologically non trivial context of thermal $QED_3$. One is based on a transgression descent from a D=4 background connection, the other on embedding the ...
Deser, S., Griguolo, L., Seminara, D.
core   +2 more sources

Anyons, 't Hooft loops and a Generalized Connection in Three Dimensions

open access: yes, 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

Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited

open access: yesJournal of High Energy Physics, 2023
We reconsider the Hamiltonian reduction of the action for three dimensional AdS supergravity and W 3 higher spin AdS gravity in the Chern-Simons formulation under asymptotically anti-de Sitter boundary conditions.
Wout Merbis   +2 more
doaj   +1 more source

Zero modes of velocity field and topological invariant in quantum torus

open access: yesResults in Physics, 2021
We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
doaj   +1 more source

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