Results 51 to 60 of about 1,641,940 (221)
Estimates for a function on almost Hermitian manifolds
Complex Manifolds, 2021 We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
doaj +1 more source
Chern-Simons theory and BCS superconductivity [PDF]
, 2001 We study the relationship between the holomorphic unitary connection of Chern-Simons theory with temporal Wilson lines and the Richardson's exact solution of the reduced BCS Hamiltonian.
Amico +50 more
core +2 more sources
Notes on Chern–Simons perturbation theory
Reviews in Mathematical Physics, 2022 We give a detailed introduction to the classical Chern–Simons gauge theory, including the mathematical preliminaries. We then explain the perturbative quantization of gauge theories via the Batalin–Vilkovisky (BV) formalism.
K. Wernli
semanticscholar +1 more source
Integrable E-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We construct the actions of a very broad family of $2$d integrable $\sigma$-models. Our starting point is a universal $2$d action obtained in [arXiv:2008.01829] using the framework of Costello and Yamazaki based on $4$d Chern-Simons theory.
S. Lacroix, B. Vicedo
semanticscholar +1 more source
Chiral And Parity Anomalies At Finite Temperature And Density [PDF]
, 1997 Two closely related topological phenomena are studied at finite density and temperature. These are chiral anomaly and Chern-Simons term. By using different methods it is shown that $\mu^2 = m^2$ is the crucial point for Chern-Simons at zero temperature ...
A.N. Sissakian +26 more
core +3 more sources
On the Kähler-likeness on almost Hermitian manifolds
Complex Manifolds, 2019 We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
doaj +1 more source
Physical Review Research, 2020 Topological field theories emerge at low energy in strongly correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when the gauge field ...
Gerard Valentí-Rojas +2 more
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Higher-group symmetries and weak gravity conjecture mixing
Journal of High Energy Physics, 2022 In four-dimensional axion electrodynamics, a Chern-Simons coupling of the form θF ^ F leads to a higher-group global symmetry between background gauge fields.
Sami Kaya, Tom Rudelius
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Gauss Law Constraints in Chern-Simons Theory From BRST Quantization [PDF]
, 1996 The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play an important role in explicitly establishing the connection of Chern-Simons field ...
Alvarez-Gaumé +23 more
core +4 more sources
Explicit construction of a Chern–Moser connection for CR manifolds of codimension two [PDF]
Annali di Matematica Pura ed Applicata, 2005 In the present paper we suggest an explicit construction of a Cartan connection for an elliptic or hyperbolic CR manifold M of dimension six and codimension two, i.e. a pair (P, w), consisting of a principal bundle P over M and of a Cartan connection form w on P, satisfying the following property: the (local) CR transformations of M are in one to one ...
Gerd Schmalz, Andrea Spiro
openalex +6 more sources