Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-12-02
Phys.Lett.B324:322-327,1994
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, KCL-TH-93-14. (Minor corrections to equation 19 and reference 9)
Scientific paper
10.1016/0370-2693(94)90201-1
We show how to relate the parafermions that occur in the $W_3$ string to the standard construction of parafermions. This result is then used to show that one of the screening charges that occurs in parafermionic theories is precisely the non-trivial part of the $W_3$ string BRST charge. A way of generalizing this pattern for a $W_N$ string is explained. This enables us to construct the full BRST charge for a $W_{2,N}$ string and to prove the relation of such a string to the algebra $W_{N-1}$ for arbitrary $N$, We also show how to calculate part of the BRST charge for a $W_N$ string, and we explain how our method might be extended to obtain the full BRST charge for such a string.
Freeman Michael
West Peter
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