Symmetries of Snyder--de Sitter space and relativistic particle dynamics
Rabin Banerjee, Kuldeep Kumar, Dibakar Roychowdhury
TL;DR
This paper explores the deformed symmetries of Snyder--de Sitter space, introduces a relativistic particle model invariant under these symmetries, and derives the associated algebra in a gauge-independent manner, focusing on leading-order effects.
Contribution
It presents a new relativistic particle model invariant under deformed conformal-Poincare symmetries of Snyder--de Sitter space and provides a gauge-independent derivation of its algebra.
Findings
Derived the Snyder--de Sitter algebra in leading order
Constructed a gauge-invariant relativistic particle model
Validated the deformed symmetries within the model
Abstract
We study the deformed conformal-Poincare symmetries consistent with the Snyder--de Sitter space. A relativistic particle model invariant under these deformed symmetries is given. This model is used to provide a gauge independent derivation of the Snyder--de Sitter algebra. Our results are valid in the leading order in the parameters appearing in the model.
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