Results 21 to 30 of about 52,641 (188)
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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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
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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-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
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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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On Hermitian manifolds whose Chern connection is Ambrose-Singer
Transactions of the American Mathematical Society, 2023 We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Ni, Lei, Zheng, Fangyang
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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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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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