The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type. It was discovered first by mathematical physicist Albert...

physics, six-dimensional holomorphic Chern–Simons theory or sometimes holomorphic Chern–Simons theory is a gauge theory on a three-dimensional complex manifold...

physics, four-dimensional Chern–Simons theory, also known as semi-holomorphic or semi-topological Chern–Simons theory, is a quantum field theory initially...

mathematics, infinite-dimensional Chern–Simons theory (not to be confused with ∞-Chern–Simons theory) is a generalization of Chern–Simons theory to manifolds with...

realized it. Chern classes Chern–Gauss–Bonnet theorem Chern–Simons theory Chern–Simons form Chern–Weil theory Chern–Weil homomorphism Chern Institute of...

and symmetry reduction scheme. Other such master theories are four-dimensional Chern–Simons theory and the affine Gaudin model. The moduli space of Yang–Mills...

related to the same topic. Chern–Weil homomorphism Chern class Chern–Simons form Chern–Simons theory Chern's conjecture (affine geometry) Pontryagin number...

Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible...

6 Jun 2019. Fisher, Matthew P. A. (2004). "Duality in low dimensional quantum field theories". Strong interactions in low dimensions. Physics and Chemistry...

field theory called Chern–Simons theory. The latter theory was popularized by Witten in the late 1980s because of its applications to knot theory. In addition...

string theory, Chern–Simons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes...

physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called...

regular foliation with one-dimensional leaves (curves), this is called maximally superintegrable. When a finite-dimensional Hamiltonian system is completely...

2023.170710. Aktosun, Tuncay (2009). "Inverse Scattering Transform and the Theory of Solitons". Encyclopedia of Complexity and Systems Science. Springer....

Geometric quantization of Chern–Simons gauge theory. representations, 34, p. 39. Witten, E., 1991. Quantization of Chern-Simons gauge theory with complex gauge...

dimension 2, which have vanishing first integral Chern class but non-trivial canonical bundle. For a compact complex n {\displaystyle n} -dimensional...

August 2023. José, Jorge (15 November 1976). "Sine-Gordon theory and the classical two-dimensional x − y model". Physical Review D. 14 (10): 2826–2829. Bibcode:1976PhRvD...

supersymmetry. Various calculations in topological string theory are closely related to Chern–Simons theory, Gromov–Witten invariants, mirror symmetry, geometric...

for the true one-dimensional condensate and λ = 2 {\displaystyle \lambda =2} while using the three dimensional equation in one dimension), two equations...

dimensions (3D regular space + 1 time(1 time dimension is not necessary, it may be multi-dimensional, according to F-theory) + 6D hyperspace). The fact that we...

from the Chern–Gauss–Bonnet theorem and the Riemann–Roch theorem to the Atiyah–Singer index theorem and Chern–Simons theory. In field theory, the independent...

limit of type IIA string theory in which the string coupling goes to infinity becomes a new 11-dimensional theory called M-theory. Consequently the low energy...

, ω ) {\displaystyle (M^{2n},\omega )} be a 2 n {\displaystyle 2n} -dimensional symplectic manifold with symplectic structure ω {\displaystyle \omega...

quantum field theories (TQFTs) applicable to the frontier research of topological quantum matters include Chern-Simons-Witten gauge theories in 2+1 spacetime...

A two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations...

{\displaystyle S=\int \limits _{M}A\wedge dA.} Another more famous example is Chern–Simons theory, which can be applied to knot invariants. In general, partition functions...

entanglement entropy γ of the boundary theory is directly determined by the topological Chern–Simons term in the bulk gravity theory. This holographic duality between...

the results of Witten 1988, three-dimensional quantum gravity can be understood by relating it to Chern–Simons theory. Brown & Henneaux 1986 Coussaert...

observable in U ( 1 ) {\displaystyle U(1)} Chern–Simons gauge theory. Explicitly, the abelian Chern–Simons action for a gauge potential one-form A {\displaystyle...

is four-dimensional, the Kaluza–Klein manifold P is five-dimensional. The fifth dimension is a compact space and is called the compact dimension. The...