English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In a previous paper [M.~Hanada, H.~Kawai and Y.~Kimura, Prog. Theor. Phys.114 (2005), 1295] it is shown that a covariant derivative on any n-dimensionalRiemannian manifold can be expressed in terms of a set of n matrices, and a newinterpretation of IIB matrix model, in which the diffeomorphism, the localLorentz symmetry and their higher spin analogues are embedded in the unitarysymmetry, is proposed. In this article we investigate several coset manifoldsin this formulation and show that on these backgrounds, it is possible to carryout calculations at the level of finite matrices by using the properties of theLie algebras. We show how the local fields and the symmetries are embedded ascomponents of matrices and how to extract the physical degrees of freedomsatisfying the constraint proposed in the previous paper.Comment: 21pages, no figure, to appear in Prog. Theor. Phy

Regularization of the Covariant Derivative on Curved Space by Finite Matrices