Noncommutative Sp ( 2 , R ) Gauge Theories A Field Theory Approach to Two-Time Physics

@inproceedings{Bars2001NoncommutativeS,
  title={Noncommutative Sp ( 2 , R ) Gauge Theories A Field Theory Approach to Two-Time Physics},
  author={Itzhak Bars and S. Rey},
  year={2001}
}
Phase-space and its relativistic extension is a natural space for realizing Sp(2,R) symmetry through canonical transformations. On a D×2 dimensional covariant phase-space, we formulate noncommutative field theories, where Sp(2,R) plays a role as either a global or a gauge symmetry group. In both cases these field theories have potential applications, including certain aspects of string theories, M-theory, as well as quantum field theories. If interpreted as living in lower dimensions, these… CONTINUE READING

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