Elsevier

Nuclear Physics B

Volume 282, 1987, Pages 125-141
Nuclear Physics B

Gauge string fields from the light cone

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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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1

Work supported by National Science Foundation Grant PHY 84-16030A01.

2

Work supported by US Department of Energy Grant DE-AC02-76ER03069.

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