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Emergent geometry from quantized spacetime

Title
Emergent geometry from quantized spacetime
Authors
Yang H.S.Sivakumar M.
Ewha Authors
양현석
Issue Date
2010
Journal Title
Physical Review D - Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998JCR Link
Citation
vol. 82, no. 4
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We examine the picture of emergent geometry arising from a mass-deformed matrix model. Because of the mass deformation, a vacuum geometry turns out to be a constant curvature spacetime such as d-dimensional sphere and (anti-)de Sitter spaces. We show that the mass-deformed matrix model giving rise to the constant curvature spacetime can be derived from the d-dimensional Snyder algebra. The emergent geometry beautifully confirms all the rationale inferred from the algebraic point of view that the d-dimensional Snyder algebra is equivalent to the Lorentz algebra in (d+1)-dimensional flat spacetime. For example, a vacuum geometry of the mass-deformed matrix model is completely described by a G-invariant metric of coset manifolds G/H defined by the Snyder algebra. We also discuss a nonlinear deformation of the Snyder algebra. © 2010 The American Physical Society.
DOI
10.1103/PhysRevD.82.045004
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연구기관 > 초기우주과학기술연구소 > Journal papers
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