High Spin Gauge Fields and Two-Time Physics

TL;DR

This paper explores the interactions of point particles with various background fields within two-time physics, revealing algebraic constraints that unify different spin interactions and connect to string theory states.

Contribution

It introduces a unified algebraic framework governing interactions of all spins in two-time physics and demonstrates the classical and quantum solutions coincide, linking to string theory spectra.

Findings

Unified Sp(2) algebraic constraints for all spins.

Classical and quantum solutions match in a holographic image.

Two solution branches relate to string theory massless and high-spin states.

Abstract

All possible interactions of a point particle with background electromagnetic, gravitational and higher-spin fields is considered in the two-time physics worldline formalism in (d,2) dimensions. This system has a counterpart in a recent formulation of two-time physics in non-commutative field theory with local Sp(2) symmetry. In either the worldline or field theory formulation, a general Sp(2) algebraic constraint governs the interactions, and determines equations that the background fields of any spin must obey. The constraints are solved in the classical worldline formalism (h-bar=0 limit) as well as in the field theory formalism (all powers of h-bar). The solution in both cases coincide for a certain 2T to 1T holographic image which describes a relativistic particle interacting with background fields of any spin in (d-1,1) dimensions. Two disconnected branches of solutions exist, which seem to have a correspondence as massless states in string theory, one containing low spins in the zero Regge slope limit, and the other containing high spins in the infinite Regge slope limit.