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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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Chern-flat and Ricci-flat invariant almost Hermitian structure [PDF]
, 2010 We study nilmanifolds endowed with a Chern ...
Antonio J. Di Scala +3 more
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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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Chern-Insulator Phase in Antiferromagnets
, 2023 The long-sought Chern insulators that manifest a quantum anomalous Hall effect are typically considered to occur in ferromagnets. Here, we theoretically predict the realizabilities of Chern insulators in antiferromagnets, in which the magnetic ...
Jiayu Li +5 more
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Connecting the Many-Body Chern Number to Luttinger’s Theorem through Středa’s Formula [PDF]
Physical Review Letters, 2023 6 ...
Lucila Peralta Gavensky +2 more
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Symplectic Connections Induced by the Chern Connection
, 2008 Let $(M,ω)$ 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 $ω$ on the manifold $TM\backslash 0$, and find the conditions that the Chern connection of the Finsler structure $F$ preserves this lift of $ω$.
Esrafilian, Ebrahim +1 more
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Measuring topology from dynamics by obtaining the Chern number from a linking number
Nature Communications, 2019 The connection between the topological properties of the ground state and non-equilibrium dynamics remains obscure. Here, Tarnowski et al. define and measure a linking number between static and dynamical vortices, which directly corresponds to the ground-
Matthias Tarnowski +6 more
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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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