N=2, 4 supersymmetric gauge field theory in two-time physics

Journal Article · Thu Jan 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.025001· OSTI ID:21259827

Bars, Itzhak; Kuo, Y -C ^[1]

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1. Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484 (United States)

In 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 (SUSY). The action, the conserved SUSY currents, and the SU(N) covariant SUSY transformation laws are presented for both N=2 and N=4. When the equations of motion are used the SUSY transformations close to the supergroup SU(2,2|N) with N=1, 2, 4. The SU(2,2)=SO(4,2) subsymmetry 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 nonperturbative or exact solutions of these theories.

• OSTI ID: 21259827
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DUALITY
EQUATIONS OF MOTION
EXACT SOLUTIONS
GAUGE INVARIANCE
MANY-DIMENSIONAL CALCULATIONS
ONE-DIMENSIONAL CALCULATIONS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
SPINORS
SUPERSYMMETRY
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY