SO(3,2)/Sp(2) symmetries in BTZ black holes

TL;DR

This paper explores the symmetries and thermodynamic properties of BTZ black holes using two-time physics and Sp(2) symmetry, providing a new framework for understanding their global invariants and temperature characteristics.

Contribution

It introduces a novel approach linking Sp(2) local symmetry with SO(3,2) invariance to analyze BTZ black holes' properties.

Findings

Constructed SO(3,2) invariant Lagrangians for BTZ black holes.

Analyzed accelerations and Hawking temperatures within the two-time physics framework.

Discussed the role of Sp(2) symmetry in metric time-independence.

Abstract

We study global flat embeddings, three accelerations and Hawking temperatures of the BTZ black holes in the framework of two-time physics scheme associated with Sp(2) local symmetry, to construct their corresponding SO(3,2) global symmetry invariant Lagrangians both inside and outside event horizons. Moreover, the Sp(2) local symmetry is discussed in terms of the metric time-independence.