Matrix Model for membrane and dynamics of D-Particles in a curved space-time geometry and presence of form fields

2010/11/09 by Qasem Exirifard, Exirifard, Qasem
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.1011.2135

in Persian, MS thesis submitted to IASBS in September 2002

arxiv created 2010/11/09 · arxiv updated 2010/11/10

Abstract

We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form field. In the matrix regularisation, we then study the dynamics of D-particles. We show how the Riemann curvature of the target space-time geometry, or any other form fields can polarise the D-Particles, cause entanglement among them and create fuzzy solutions. We review the fuzzy sphere and we present fuzzy hyperbolic and ellipsoid solutions.

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