Abstract

We describe a method for deriving general gauge-invariant field theories from light-cone representations of the Poincaré algebra at x + = 0. By adding 2 commuting and 2 anticommuting dimensions, we obtain an enlarged symmetry group which includes the usual covariantly realized Poincaré group acting on D coordinates. The generators of the Lorentz subgroup which acts on the remaining, unphysical coordinates are used to define the gauge transformations. These generators are the BRST and anti-BRST operators, the SU(1,1) which defines the physical subspace, and generators which gauge away the unphysical coordinates. The free action, which is free of Nakanishi-Lautrup auxiliary fields, is just a δ function in these generators. The unphysical commuting coordinate can describe the string length as a gauge degree of freedom.

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