String and Particle with Two Times

Details String and Particle with Two Times String and Particle with Two Times

1997-05-27

arxiv.org/abs/hep-th/9705205v2

Phys.Rev. D56 (1997) 3664-3671

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 19 pages, misprints and references corrected

Scientific paper

10.1103/PhysRevD.56.3664

An action for a string and a particle with two timelike dimensions is proposed and analyzed. Due to new gauge symmetries and associated constraints, the motion of each system in the background of the other is equivalent to effective motion with a single timelike dimension. The quantum constraints are consistent only in critical dimensions. For the bosonic system in flat spacetime the critical dimension is 27 or 28, with signature (25,2) or (26,2), depending on whether the particle is massive or massless respectively. For the supersymmetric case the critical dimensions are 11 or 12, with signature (9,2) or (10,2), under the same circumstances. Generalizations to multiparticles, strings and p-branes are outlined.

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