The Complete Cohomology of the W3 String

C.N. Pope; H. Lu; K.W. Xu; X.J. Wang

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The Complete Cohomology of the W3 String

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arxiv hep-th/9309041 v1 pith:OXCC3IDB submitted 1993-09-07 hep-th

H. Lu , C.N. Pope , X.J. Wang , K.W. Xu This is my paper

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keywords operatorsphysicalcohomologycellcompletestringtwo-scalaranalysis

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abstract

We present a simple procedure for constructing the complete cohomology of the BRST operator of the two-scalar and multi-scalar $W_3$ strings. The method consists of obtaining two level--15 physical operators in the two-scalar $W_3$ 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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