Results 71 to 80 of about 1,641,940 (221)
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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Non-self-dual Yang-Mills connections with nonzero Chern number [PDF]
Bulletin of the American Mathematical Society, 1991 We prove the existence of non-self-dual Yang-Mills connections on SU(2) bundles over the standard four-sphere, specifically on all bundles with second Chern number not equal to ...
Lorenzo Sadun, Jan Segert
openalex +5 more sources
Chern-Simons classes of flat connections on supermanifolds
, 2007 In this note we define Chern-Simons classes of a superconnection $D+L$ on a complex supervector bundle $E$ such that $D$ is flat and preserves the grading, and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we obtain a definition of Chern-Simons classes of a (not necessarily flat) morphism between flat vector bundles on a ...
JN Iyer, Un Iyer
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Definition of Chern-Simons Terms in Thermal QED_3 Revisited [PDF]
, 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.
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5d 2-Chern-Simons Theory and 3d Integrable Field Theories [PDF]
Communications in Mathematical PhysicsThe 4-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of 2-dimensional integrable field theories. The purpose of this paper is to extend this framework to the setting of 3-
Alexander Schenkel, Benoit Vicedo
semanticscholar +1 more source
Zero modes of velocity field and topological invariant in quantum torus
Results 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
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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
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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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Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited
Journal 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
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Locality of topological dynamics in Chern insulators
SciPost PhysicsA system having macroscopic patches in different topological phases has no well-defined global topological invariant. To treat such a case, the quantities labeling different areas of the sample according to their topological state are used, dubbed local ...
Anton Markov, Diana Golovanova, Alexander Yavorsky, Alexey Rubtsov
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