U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory

Abstract

A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a remarkable unification of several gauge principles in d dimensions, including Maxwell, Einstein and high spin gauge principles, packaged together into one of the simplest fundamental gauge symmetries in noncommutative quantum phase space in d+2 dimensions. A gauge invariant action is constructed and its nonlinear equations of motion are analyzed. Besides elegantly reproducing the first quantized worldline theory with all background fields, the field theory prescribes unique interactions among the gauge fields. A matrix version of the theory, with a large N limit, is also outlined

24 pages, LaTeX

References in corpus (4)

• High Spin Gauge Fields and Two-Time Physics
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
• On the Embedding of Space-Time Symmetries into Simple Superalgebras

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