Two-Time Physics

TL;DR

This paper explores the relationship between one-time and two-time physics, highlighting the role of SO(d,2) symmetry and Sp(2) duality, with examples including particles in AdS spaces relevant to AdS-CFT correspondence.

Contribution

It provides a comprehensive overview of the correspondence, illustrating how diverse one-time systems can be unified under a more symmetric two-time framework.

Findings

Demonstrates the SO(d,2) symmetry in two-time physics

Shows how various one-time systems can be embedded into a two-time framework

Highlights the relevance to AdS-CFT duality through explicit examples

Abstract

We give an overview of the correspondance between one-time-physics and two-time-physics. This is characterized by the presence of an SO(d,2) symmetry and an Sp(2) duality among diverse one-time-physics systems all of which can be lifted to the same more symmetric two-time-physics system by the addition of gauge degrees of freedom. We provide several explicit examples of physical systems that support this correspondance. The example of a particle moving in (AdS_D) X (S^n), with SO(D+n,2) symmetry which is larger than the popularly known symmetry SO(D-1,2) X SO(n+1) for this case, should be of special current interest in view of the proposed AdS-CFT duality.