Results 111 to 120 of about 1,641,940 (221)
Abstract Understanding the role of information communication technologies (ICTs) in development, especially in relation to marginalized populations, has been the focus of many related disciplinary categories within the broader ecosystem of information sciences.
Chidi Oguamanam
wiley +1 more source
On the Non Metrizability of Berwald Finsler Spacetimes
We investigate whether Szabo’s metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theorem states that, if the metric is of Berwald type (i.e., its Chern–Rund ...
Andrea Fuster+3 more
doaj +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Laplace operators on holomorphic Lie algebroids
The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
doaj +1 more source
Integrable lambda models and Chern-Simons theories
In this note we reveal a connection between the phase space of lambda models on S 1 × ℝ $$ {S}^1\times \mathbb{R} $$ and the phase space of double Chern-Simons theories on D × ℝ $$ D\times \mathbb{R} $$ and explain in the process the origin of the non ...
David M. Schmidtt
doaj +1 more source
Abelian Chern–Simons theory, Stokes’ theorem, and generalized connections
Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes' theorem, flux operators and generalized connections. A framing of the holonomy loops arises in our construction, and
Hanno Sahlmann+4 more
openaire +3 more sources
Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
(n-2)-tightness and curvature of submanifolds with boundary
The purpose of this note is to establish a connection between the notion of (n−2)-tightness in the sense of N.H. Kuiper and T.F. Banchoff and the total absolute curvature of compact submanifolds-with-boundary of even dimension in Euclidean space.
Wolfgang Kühnel
doaj +1 more source
Supersymmetry and superstrata in three dimensions
We analyze the supersymmetry transformations of gauged SO(4) supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries.
Anthony Houppe, Nicholas P. Warner
doaj +1 more source
The connections of pseudo-Finsler spaces
We give an introduction to (pseudo-)Finsler geometry and its connections. For most results we provide short and self contained proofs. Our study of the Berwald non-linear connection is framed into the theory of connections over general fibered spaces ...
Minguzzi, E.
core +1 more source