The $AdS$ particle

Abstract

In this note we have considered a relativistic Nambu-Goto model for a particle in $AdS$ metric. With appropriate gauge choice to fix the reparameterization invariance, we recover the previously discussed \cite{pal} "Exotic Oscillator". The Snyder algebra and subsequently the $\kappa$-Minkowski spacetime are also derived. Lastly we comment on the impossibility of constructing a noncommutative spacetime in the context of open string where only a curved target space is introduced.

The last para and references related to it are new, minor changes, version to appear in Phys.Lett.B

References in corpus (24)

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Cited by in corpus (20)

• Kappa-Minkowski space-time and the star product realizations
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Covariant realizations of kappa-deformed space
• Topics in Noncommutative Geometry Inspired Physics
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• The Free Particle in Deformed Special Relativity
• GUP-based and Snyder Non-Commutative Algebras, Relativistic Particle models and Deformed Symmetries: A Unified Approach
• Generalized kappa-deformed spaces, star-products, and their realizations
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• DSR Relativistic Particle in a Lagrangian formulation and Non-Commutative Spacetime: A Gauge Independent Analysis
• Relativistic Thermodynamics with an Invariant Energy Scale
• Noncommutative spaces, the quantum of time and the Lorentz symmetry
• A Novel "Magnetic" Field And Its Dual Non-Commutative Phase Space
• Noncommutative Geometry and Geometric Phases
• Relativistic Particles on Quantum Space-time
• The E(2) Particle
• Study of the "Non-Abelian" Current Algebra of a Non-linear $\sigma$-Model
• Lie algebraic noncommuting structures from reparametrisation symmetry
• Lie Particle And Its Batalin-Tyutin Extension
• Ab Initio Construction of Poincaré and AdS Particle