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- W2077141201 abstract "Phase-space and its relativistic extension is a natural space for realizing Sp(2,R) symmetry through canonical transformations. On a Dx2 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 theories realize Poincare' symmetry linearly in a way consistent with causality and unitarity. In case Sp(2,R) is a gauge symmetry, we show that the spacetime signature is determined dynamically as (D-2,2). The resulting noncommutative Sp(2,R) gauge theory is proposed as a field theoretical formulation of two-time physics: classical field dynamics contains all known results of `two-time physics', including the reduction of physical spacetime from D to (D-2) dimensions, with the associated `holography' and `duality' properties. In particular, we show that the solution space of classical noncommutative field equations put all massless scalar, gauge, gravitational, and higher-spin fields in (D-2) dimensions on equal-footing, reminiscent of string excitations at zero and infinite tension limits." @default.
- W2077141201 created "2016-06-24" @default.
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- W2077141201 date "2001-07-20" @default.
- W2077141201 modified "2023-09-26" @default.
- W2077141201 title "Noncommutative<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=normal>Sp</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>gauge theories: A field theory approach to two-time physics" @default.
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- W2077141201 doi "https://doi.org/10.1103/physrevd.64.046005" @default.
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