Results 41 to 50 of about 52,638 (215)
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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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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Gauss Law Constraints in Chern-Simons Theory From BRST Quantization [PDF]
, 1996 The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play an important role in explicitly establishing the connection of Chern-Simons field ...
Alvarez-Gaumé +23 more
core +4 more sources
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-Simons Field Theory and Completely Integrable Systems [PDF]
, 1996 We show that the classical non-abelian pure Chern-Simons action is related in a natural way to completely integrable systems of the Davey-Stewartson hyerarchy, via reductions of the gauge connection in Hermitian spaces and by performing certain gauge ...
Arkadiev +16 more
core +3 more sources
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 ...
openaire +3 more sources
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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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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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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