Results 1 to 10 of about 5,931,846 (221)

Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory [PDF]

Journal of High Energy Physics, 2023
We show that the approaches to integrable systems via 4d Chern-Simons theory and via symmetry reductions of the anti-self-dual Yang-Mills equations are closely related, at least classically.
Roland Bittleston, David Skinner
doaj   +4 more sources

A Chern-Simons theory for dipole symmetry [PDF]

SciPost Physics, 2023
We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory, we develop a framework with both $U(1)$ and dipole gauge fields.
Xiaoyang Huang
doaj   +2 more sources

New T-duality for Chern-Simons theory [PDF]

Journal of High Energy Physics, 2019
It has recently pointed out that a four-dimensional analog of Chern-Simons theory provides an elegant framework for understanding integrable models with spectral parameters.
Masahito Yamazaki
doaj   +2 more sources

What Chern-Simons theory assigns to a point. [PDF]

Proc Natl Acad Sci U S A, 2017
Significance There are two main classes of 3D topological field theories: Turaev–Viro theories, associated to fusion categories, and Reshetikhin–Turaev theories, associated to modular tensor categories.
Henriques AG.
europepmc   +3 more sources

Non-commutative deformation of Chern–Simons theory [PDF]

European Physical Journal C: Particles and Fields, 2020
The problem of the consistent definition of gauge theories living on the non-commutative (NC) spaces with a non-constant NC parameter $$\Theta (x)$$ Θ(x) is discussed.
Vladislav G. Kupriyanov
doaj   +2 more sources

Integrability in gravity from Chern-Simons theory

Journal of High Energy Physics
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.
Lewis T. Cole, Peter Weck
doaj   +2 more sources

Teichmüller TQFT vs. Chern-Simons theory [PDF]

Journal of High Energy Physics, 2018
Teichmüller TQFT is a unitary 3d topological theory whose Hilbert spaces are spanned by Liouville conformal blocks. It is related but not identical to PSL(2, ℝ) Chern-Simons theory.
Victor Mikhaylov
doaj   +2 more sources

Quantum modularity and complex Chern–Simons theory [PDF]

, 2018
The Quantum Modularity Conjecture of Zagier predicts the existence of a formal power series with arithmetically interesting coefficients that appears in the asymptotics of the Kashaev invariant at each root of unity.
Tudor Dimofte, Stavros Garoufalidis
openalex   +3 more sources

Quantum Chern-Simons Theories on Cylinders: BV-BFV Partition Functions. [PDF]

Commun Math Phys, 2023
Cattaneo AS, Mnev P, Wernli K.
europepmc   +3 more sources

Four-dimensional Chern–Simons theory and integrable field theories [PDF]

Journal of Physics A: Mathematical and Theoretical, 2021
These lecture notes concern the semi-holomorphic 4D Chern–Simons theory and its applications to classical integrable field theories in 2D and in particular integrable sigma-models.
S. Lacroix
semanticscholar   +1 more source