WebbChern-Simons 这个名词涉及的领域繁多。 我能接触到的内容大致隶属于(超对称)场论;它的其他方面性质就不是很清楚了;多次听说在拓扑绝缘体中有重要应用,但是一直 … Webb11 apr. 2024 · Our proposal is that the category of line operators can be identified with the derived category of modules for a boundary vertex operator algebra realized as a certain infinite-order simple current extension of the affine current algebra by …
如何理解Chern Simons场论? - 知乎
WebbChern-Simons 理论是由Edward Witten提出的Schwarz 型3 维拓扑量子场论。它是由数学物理学家阿尔伯特·施瓦茨首先发现的。它以引入Chern-Simons 3-form的数学家 Shiing … The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type developed by Edward Witten. It was discovered first by mathematical physicist Albert Schwarz. It is named after mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the Chern–Simons 3-form. … Visa mer Mathematical origin In the 1940s S. S. Chern and A. Weil studied the global curvature properties of smooth manifolds M as de Rham cohomology (Chern–Weil theory), which is an important step in the theory of Visa mer Topological string theories In the context of string theory, a U(N) Chern–Simons theory on an oriented Lagrangian 3-submanifold M of a 6-manifold X arises as … Visa mer The Chern–Simons term can also be added to models which aren't topological quantum field theories. In 3D, this gives rise to a massive Visa mer • "Chern-Simons functional". Encyclopedia of Mathematics. EMS Press. 2001 [1994]. Visa mer To canonically quantize Chern–Simons theory one defines a state on each 2-dimensional surface Σ in M. As in any quantum field theory, … Visa mer Wilson loops The observables of Chern–Simons theory are the n-point correlation functions of gauge-invariant operators. The most often studied class of gauge invariant operators are Wilson loops. A Wilson loop is the holonomy around a … Visa mer • Gauge theory (mathematics) • Chern–Simons form • Topological quantum field theory • Alexander polynomial • Jones polynomial Visa mer smart access code
Extended actions, dynamics of edge modes, and entanglement entropy
Webb7 okt. 2013 · We study a self-dual model in which the analytic continuation of the partition function to negative values of coupling constant gives a pathological exponential growth, but a homotopically independent combination of integration cycles (Lefschetz thimbles) results in a sensible theory. Webb11 apr. 2024 · We show that there is a one parameter family of Quartic Horndeski Cartan Lagrangians and all such theories only modify the dispersion relations of the graviton and the scalar perturbation that are usually found in the standard Horndeski theory on a torsionless spacetime. Webb5 apr. 2024 · Coupling Fields to 3D Quantum Gravity via Chern-Simons Theory Alejandra Castro, Ioana Coman, Jackson R. Fliss, Claire Zukowski We propose a mechanism that couples matter fields to three-dimensional quantum gravity, which can be used for theories with a positive or negative cosmological constant. smart access for youths