The Complete Cohomology of the W3 String
Abstract
We present a simple procedure for constructing the complete cohomology of the BRST operator of the two-scalar and multi-scalar W3 strings. The method consists of obtaining two level--15 physical operators in the two-scalar W3 string that are invertible, and that can normal order with all other physical operators. They can be used to map all physical operators into non-trivial physical operators whose momenta lie in a fundamental unit cell. By carrying out an exhaustive analysis of physical operators in this cell, the entire cohomology problem is solved.
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