Results 121 to 130 of about 52,691 (210)

Palatini Gauss-Bonnet theory

Journal of High Energy Physics
We consider a class of models in even spacetime dimensions 2n which share many similarities with Chern-Simons theories in odd spacetime dimensions 2n + 1.
Máximo Bañados, Marc Henneaux
doaj   +1 more source

Characterization of Isoclinic, Transversally Geodesic and Grassmannizable Webs

Axioms
One of the most relevant topics in web theory is linearization. A particular class of linearizable webs is the Grassmannizable web. Akivis gave a characterization of such a web, showing that Grassmannizable webs are equivalent to isoclinic and ...
Jihad Saab, Rafik Absi
doaj   +1 more source

The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds

We consider unitary cocycle deformations of covariant $\ast$-differential calculi. We prove that complex structures, holomorphic bimodules and Chern connections on the deformed calculus are twists of their untwisted counterparts. Moreover, for cocycle deformations of a class of classical Kähler manifolds, the Levi-Civita connection on the space of one ...
Bhowmick, Jyotishman, Ghosh, Bappa
openaire   +2 more sources

Jacobi Stability Analysis of Liu System: Detecting Chaos

Mathematics
By utilizing the Kosambi–Cartan–Chern (KCC) geometric theory, this paper is dedicated to providing novel insights into the Liu dynamical system, which stands out as one of the most distinctive and noteworthy nonlinear dynamical systems.
Qinghui Liu, Xin Zhang
doaj   +1 more source

Nontrivial bundles and defect operators in n-form gauge theories

Journal of High Energy Physics
In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j
Shan Hu
doaj   +1 more source

Chern-Simons forms for R-linear connections on Lie algebroids

, 2011
The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.
openaire   +2 more sources

An elliptic integrable deformation of the Principal Chiral Model

Journal of High Energy Physics
We introduce a new elliptic integrable σ-model in the form of a two-parameter deformation of the Principal Chiral Model on the group SLℝ(N), generalising a construction of Cherednik for N = 2 (up to reality conditions).
Sylvain Lacroix, Anders Wallberg
doaj   +1 more source

Flat extensions of principal connections and the Chern-Simons $3$-form

20 pages. v3: final version, to appear in Ann. H.
Čap, Andreas, Flood, Keegan J., Mettler, Thomas   +2 more
openaire   +2 more sources

Quantized soliton pumping governed by high-dimensional Chern invariants. [PDF]

Natl Sci Rev
Di F, Zhang W, Yuan H, Qian L, Cao W, Zhou X, Zhang X.   +6 more
europepmc   +1 more source

A chiral fermionic valve driven by quantum geometry. [PDF]

Nature
Dixit A, Sivakumar PK, Manna K, Felser C, Parkin SSP.   +4 more
europepmc   +1 more source