Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-24
Nucl.Phys. B405 (1993) 669-694
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, THU-92/34
Scientific paper
10.1016/0550-3213(93)90563-5
Starting from the covariant action for $W_3$ gravity, we discuss the BRST quantization of $W_3$ gravity. Taking the chiral gauge the BRST charge has a natural interpretation in terms of the quantum Drinfeld--Sokolov reduction for $Sl(3,\re)$. Nilpotency of this charge leads to the KPZ formula for $W_3$. In the conformal gauge, where the covariant action reduces to a Toda action, the BRST charge is equivalent to the one recently constructed by Bershadsky et al.
Boer Jan de
Goeree Jacob
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