Gauge principles for multi-superparticles

Abstract

We formulate new gauge principles for n supersymmetric particles in a worldline formalism with N supersymmetries. The models provide realizations of the more general supersymmetries that are encountered in sectors of S-theory or Matrix theory, with a superalgebra that involves products of momenta. Due to local gauge and kappa symmetries the n superparticle momenta and N supercharges are constrained. The constraints have solutions only in a space with n timelike dimensions and SO(d+n-2,n) spacetime symmetry. The cases SO(9,1), SO(10,2) and SO(10,3), with one, two and three timelike dimensions respectively, are of special interest. In each case, due to the constraints, the classical motion and quantum theory of each superparticle are equivalent to the physics with a single time-like dimension in an effective 10D superspace with SO(9,1) Lorentz symmetry.

Published version with minor corrections, Latex, 13 pages

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• Two-Time Physics in Field Theory
• Gauge symmetry in phase space with spin, a basis for conformal symmetry and duality among many interactions
• Two-Time Physics with gravitational and gauge field backgrounds
• Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
• Superparticles, p-Form Coordinates and the BPS Condition
• Beyond the Relativistic Point Particle: A Reciprocally Invariant System and its Generalisation
• The bosonic string and superstring models in 26+2 and 10+2 dimensional space--time, and the generalized Chern-Simons action