N=2,4 Supersymmetric Gauge Field Theory in 2T-physics

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dc.creatorBars, Itzhak
dc.creatorKuo, Yueh-Cheng
dc.date2008-08-05
dc.date.accessioned2026-07-07T12:30:15Z
dc.date.available2026-07-07T12:30:15Z
dc.descriptionIn the context of Two Time Physics in 4+2 dimensions we construct the most general N=2,4 supersymmetric Yang Mills gauge theories for any gauge group G. This builds on our previous work for N=1 supersymmetry. The action, the conserved SUSY currents, and the off-shell SU(N) covariant SUSY transformation laws are presented for both N=2 and N=4. The on-shell SUSY transformations close to the supergroup SU(2,2$|$N) with N=1,2,4. The SU(2,2)=SO(4,2) sub-symmetry is realized linearly on 4+2 dimensional flat spacetime. All fields, including vectors and spinors, are in 4+2 dimensions. The extra gauge symmetries in 2T field theory, together with the kinematic constraints that follow from the action, remove all the ghosts to give a unitary theory. By choosing gauges and solving the kinematic equations, the 2T field theory in 4+2 flat spacetime can be reduced to various shadows in various 3+1 dimensional (generally curved) spacetimes. These shadows are related to each other by dualities. The conformal shadows of our theories in flat 3+1 dimensions coincide with the well known counterpart N=1,2,4 supersymmetric massless renormalizable field theories in 3+1 dimensions. It is expected that our more symmetric new structures in 4+2 spacetime may be useful for non-perturbative or exact solutions of these theories.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0808.0537
dc.identifierhttp://arxiv.org/abs/0808.0537
dc.identifierPhys.Rev.D79:025001,2009
dc.identifierdoi:10.1103/PhysRevD.79.025001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216077
dc.subjectHigh Energy Physics - Theory
dc.titleN=2,4 Supersymmetric Gauge Field Theory in 2T-physics
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