Results 51 to 60 of about 1,624,577 (208)
The Chern classes of Sobolev connections [PDF]
Communications in Mathematical Physics, 1985 Assuming that F is the curvature (field) of a connection (potential) on \(R^ 4\) with finite \(L^ 2\) norm, the author proves that the Chern number \(c_ 2=1/8\pi^ 2\int_{R^ 4}F\wedge F\) (topological quantum number) is an integer. This generalizes previous results which showed that the integrality holds for F satisfying the Yang-Mills equations ...
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Physical Review Research, 2020 Topological field theories emerge at low energy in strongly correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when the gauge field ...
Gerard Valentí-Rojas +2 more
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Higher-group symmetries and weak gravity conjecture mixing
Journal of High Energy Physics, 2022 In four-dimensional axion electrodynamics, a Chern-Simons coupling of the form θF ^ F leads to a higher-group global symmetry between background gauge fields.
Sami Kaya, Tom Rudelius
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S-duality resurgence in SL(2) Chern-Simons theory
Journal of High Energy Physics, 2018 We find that an S-duality in SL(2) Chern-Simons theory for hyperbolic 3-manifolds emerges by the Borel resummation of a semiclassical expansion around a particular flat connection associated to the hyperbolic structure. We demonstrate it numerically with
Dongmin Gang, Yasuyuki Hatsuda
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Physical Review Research, 2020 Topological insulators are materials with spectral bands associated with an integer-valued index, manifesting through quantized bulk phenomena and robust boundary effects.
Ioannis Petrides, Oded Zilberberg
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Symplectic Connections Induced by the Chern Connection
, 2008 Let $(M, )$ be a symplectic manifold and $F$ be a Finsler structure on $M$. In the present paper we define a lift of the symplectic two-form $ $ on the manifold $TM\backslash 0$, and find the conditions that the Chern connection of the Finsler structure $F$ preserves this lift of $ $.
Esrafilian, Ebrahim +1 more
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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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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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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
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