Results 31 to 40 of about 1,756 (221)
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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On the Kähler-likeness on almost Hermitian manifolds
Complex Manifolds, 2019 We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
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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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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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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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Genus-one complex quantum Chern--Simons theory [PDF]
, 2022 We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce the natural complexified analogue of the Hitchin connection in K\"{a}hler quantisation, with polarisations ...
Andersen, Jørgen Ellegaard +3 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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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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