Results 61 to 70 of about 1,641,940 (221)
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
doaj +1 more source
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
doaj +1 more source
Chern-Simons forms for R-linear connections on Lie algebroids
International Journal of Mathematics, 2011 This paper considers the Chern–Simons forms for [Formula: see text]-linear connections on Lie algebroids. A generalized Chern–Simons formula for such [Formula: see text]-linear connections is obtained. We apply it to define the Chern character and secondary characteristic classes for [Formula: see text]-linear connections of Lie algebroids.
Bogdan Balcerzak
openalex +5 more sources
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
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
doaj +1 more source
Chern connection of a pseudo-Finsler metric as a family of affine connections [PDF]
Publicationes Mathematicae Debrecen, 2014 We consider the Chern connection of a (conic) pseudo-Finsler manifold $(M,L)$ as a linear connection $\nabla^V$ on any open subset $ \subset M$ associated to any vector field $V$ on $ $ which is non-zero everywhere. This connection is torsion-free and almost metric compatible with respect to the fundamental tensor $g$. Then we show some properties of
openaire +3 more sources
A Note on Characteristic Classes [PDF]
, 2006 This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection.
Zhou, Jianwei
core +4 more sources
Quantum geometry probed by chiral excitonic optical response of Chern insulators [PDF]
Physical review BWe theoretically derive the sum rule for the negative first moment of the absorptive optical conductivity with excitonic effects and establish its connection to the quantum weight $K$ and Chern number $C$ of the ground state.
Wen-Xuan Qiu, Fengcheng Wu
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source