Zobrazeno 1 - 10
of 2 680
pro vyhledávání: '"Cole, A. T."'
We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, a
Externí odkaz:
http://arxiv.org/abs/2412.11718
The standard understanding of topological protection from band theory is that a system's topology cannot change without first closing the bulk band gap. However, in Floquet systems, this typical definition of topological protection is one step remove
Externí odkaz:
http://arxiv.org/abs/2410.24176
Publikováno v:
J. High Energ. Phys. 2024, 202 (2024)
Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Sim
Externí odkaz:
http://arxiv.org/abs/2407.09479
Autor:
Cole, Lewis T., Weck, Peter
Publikováno v:
Journal of High Energy Physics 2024, 80 (2024)
This paper presents a new perspective on integrability in theories of gravity. We show how the stationary, axisymmetric sector of General Relativity can be described by the boundary dynamics of a four-dimensional Chern-Simons theory. This approach sh
Externí odkaz:
http://arxiv.org/abs/2407.08782
Autor:
Cole, Justin T., Johnson, Troy I.
Rogue waves are fascinating large amplitude coherent structures that abruptly appear and then disappear soon after. In certain partial differential equations these waves are modeled by rational solutions. In this work we discuss approximating rogue w
Externí odkaz:
http://arxiv.org/abs/2407.04013
Autor:
Cole, Justin T., Nameika, Michael J.
A data-driven approach to calculating tight-binding models for discrete coupled-mode systems is presented. Specifically, spectral and topological data is used to build an appropriate discrete model that accurately replicates these properties. This wo
Externí odkaz:
http://arxiv.org/abs/2407.00975
Publikováno v:
SciPost Phys. 17, 008 (2024)
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of Bittleston
Externí odkaz:
http://arxiv.org/abs/2311.17551
The question of collapse (blow-up) in finite time is investigated for the two-dimensional (non-integrable) space-time nonlocal nonlinear Schrodinger equations. Starting from the two-dimensional extension of the well known AKNS q,r system, three diffe
Externí odkaz:
http://arxiv.org/abs/2311.04443
Autor:
Ablowitz, M. J., Cole, J. T.
A two-dimensional honeycomb lattice composed of gyrotropic rods is studied. Beginning with Maxwell's equations, a perturbed Wannier method is introduced which yields a tight-binding model with nearest and next-nearest neighbors. The resulting discret
Externí odkaz:
http://arxiv.org/abs/2307.07637
A honeycomb Floquet lattice with helically rotating waveguides and an interface separating two counter-propagating subdomains is analyzed. Two topologically protected localized waves propagate unidirectionally along the interface. Switching can occur
Externí odkaz:
http://arxiv.org/abs/2305.04489