Results 61 to 70 of about 1,765,714 (253)

Invariant solutions to the Strominger system and the heterotic equations of motion

open access: yesNuclear Physics B, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal   +2 more
doaj   +1 more source

Searching for a Connection Between Matroid Theory and String Theory [PDF]

open access: yes, 2002
We make a number of observations about matter-ghost string phase, which may eventually lead to a formal connection between matroid theory and string theory.
Achucarro   +59 more
core   +4 more sources

Integrable E-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects [PDF]

open access: yesSymmetry, 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

The Chern classes of Sobolev connections [PDF]

open access: yesCommunications in Mathematical Physics, 1985
AssumeF is the curvature (field) of a connection (potential) onR 4 with finiteL 2 norm $$\left( {\int\limits_{R^4 } {\left| F \right|^2 dx< \infty } } \right)$$ . We show the chern number
openaire   +3 more sources

Higher Chern-Simons based on (2-)crossed modules [PDF]

open access: yes, 2022
We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections. Then we establish the generalized Chern-Simons forms to get the higher Chern-Simons actions.
arxiv   +1 more source

Notes on Chern–Simons perturbation theory

open access: yesReviews 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

Chern-Simons theory and BCS superconductivity [PDF]

open access: yes, 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

On Kähler-like and G-Kähler-like almost Hermitian manifolds

open access: yesComplex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
doaj   +1 more source

Chiral And Parity Anomalies At Finite Temperature And Density [PDF]

open access: yes, 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

open access: yesComplex 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

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