Results 11 to 20 of about 1,624,577 (208)
Corrigendum to "Chern connection of a pseudo-Finsler metric as a family\n of affine connections" [PDF]
Publicationes Mathematicae Debrecen, 2014 In this note, we give the correct statements of [2,Proposition 3.3 and Theorem 3.4] and a formula of the Chern curvature in terms of the curvature tensor $R^V$ of the affine connection $\nabla^V$ and the Chern tensor $P$.
Miguel Ángel Javaloyes
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Fermi gas formalism for D-type quiver Chern-Simons theory with non-uniform ranks [PDF]
Journal of High Energy PhysicsWe construct the Fermi gas formalism for the partition function of supersymmetric Chern-Simons theories with affine D-type quiver diagrams with non-uniform ranks of the gauge groups and Fayet-Illiopoulos parameters by two different approaches: the open ...
Naotaka Kubo, Tomoki Nosaka
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Holographic spin liquids and Lovelock Chern-Simons gravity [PDF]
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 connection of a pseudo-Finsler metric as a family of affine connections [PDF]
Publicationes Mathematicae Debrecen, 2014 We consider the Chern connection of a (conic) pseudo-Finsler manifold $(M,L)$ as a linear connection $\nabla^V$ on any open subset $ \subset M$ associated to any vector field $V$ on $ $ which is non-zero everywhere. This connection is torsion-free and almost metric compatible with respect to the fundamental tensor $g$. Then we show some properties of
Miguel Ángel Javaloyes
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Berry Phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material From a Classical Electromagnetics Perspective [PDF]
IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2017 The properties that quantify photonic topological insulators (PTIs), Berry phase, Berry connection, and Chern number, are typically obtained by making analogies between classical Maxwell's equations and the quantum mechanical Schrödinger equation ...
S. Ali Hassani Gangaraj +5 more
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Chern connections and Chern curvature of the tangent bundle of almost complex manifolds [PDF]
, 2004 The $\bar{\partial}_{_{J}}$ operator over an almost complex manifold induces canonical connections of type $(0,1)$ over the bundles of $(p,0)$-forms. If the almost complex structure is integrable then the previous connections induce the canonical holomorphic structures of the bundles of $(p,0)$-forms.
Nefton Pali
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Spectral triples from bimodule connections and Chern connections [PDF]
Journal of Noncommutative Geometry, 2017 We give a geometrical construction of Connes spectral triples or noncommutative Dirac operators \def\Dslash{{\mathrlap{\,/}{D}}}\Dslash starting with a bimodule connection on the proposed spinor bundle. The theory is applied to the example of M_2(\mathbb C)
Edwin Beggs, Shahn Majid
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String connections and Chern-Simons theory [PDF]
Transactions of the American Mathematical Society, 2013 55 pages; v2: new section with a better treatment of the relation to string connections of Stolz-Teichner, minor changes otherwise; v3: some newest developments referenced, minor changes; v4 comes with typos corrected and is the final and published ...
Konrad Waldorf
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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 $OSp(m|2n)$.
Aleksandar Miković, Roger Picken
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Chern currents of singular connections associated with a section of a compactified bundle [PDF]
Indiana University Mathematics Journal, 1995 A compactification of the Chern-Weil theory for bundle maps, developed by \textit{F. R. Harvey} and \textit{H. B. Lawson jun.} [Astérisque 213, 268 (1993; Zbl 0804.53037)], is described. For each section \(\nu\) of the compactification \(\mathbb{P} (\underline \mathbb{C} \oplus F) \to X\) of a rank \(n\) complex vector bundle \(F \to X\) with ...
J. Zweck
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