Dualities among 1T-Field Theories with Spin, Emerging from a Unifying 2T-Field Theory

Abstract

The relation between two time physics (2T-physics) and the ordinary one time formulation of physics (1T-physics) is similar to the relation between a 3-dimensional object moving in a room and its multiple shadows moving on walls when projected from different perspectives. The multiple shadows as seen by observers stuck on the wall are analogous to the effects of the 2T-universe as experienced in ordinary 1T spacetime. In this paper we develop some of the quantitative aspects of this 2T to 1T relationship in the context of field theory. We discuss 2T field theory in d+2 dimensions and its shadows in the form of 1T field theories when the theory contains Klein-Gordon, Dirac and Yang-Mills fields, such as the Standard Model of particles and forces. We show that the shadow 1T field theories must have hidden relations among themselves. These relations take the form of dualities and hidden spacetime symmetries. A subset of the shadows are 1T field theories in different gravitational backgrounds (different space-times) such as the flat Minkowski spacetime, the Robertson-Walker expanding universe, AdS(d-k) x S(k) and others, including singular ones. We explicitly construct the duality transformations among this conformally flat subset, and build the generators of their hidden SO(d,2) symmetry. The existence of such hidden relations among 1T field theories, which can be tested by both theory and experiment in 1T-physics, is part of the evidence for the underlying d+2 dimensional spacetime and the unifying 2T-physics structure.

33 pages, LaTeX

References in corpus (7)

• The Standard Model of Particles and Forces in the Framework of 2T-physics
• Interacting Two-Time Physics Field Theory With a BRST Gauge Invariant Action
• Field Theory in 2T-physics with N=1 Supersymmetry
• Dual Field Theories In (d-1)+1 Emergent Spacetimes From A Unifying Field Theory In d+2 Spacetime
• Conformal theories including conformal gravity as gauge theories on the hypercone
• Supersymmetric Field Theory in 2T-physics
• Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless

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• N=2,4 Supersymmetric Gauge Field Theory in 2T-physics
• Is Quantum Gravity a Chern-Simons Theory?
• Super Yang-Mills theory in 10+2 dimensions, The 2T-physics Source for N=4 SYM and M(atrix) Theory