Construction of topological W_{3} gravity
Abstract
Topological W_{3} gravity is constructed in detail from its definition as topological YangMills theory in two dimensions with the gauge group being a contraction of SL(3, R). The gauge transformation of the YangMills gauge field can be rewritten to resemble that of the spin2 and 3 gauge fields describing W_{3} gravity. This fact provides a local parametrization of the moduli space of the flat connections in terms of spin2 and 3 Beltrami differentials on Riemann surfaces. The variations of the action with respect to the moduli give the stress tensor and the spin3 W current, and the BRST charge can be expressed in terms of these currents in a way similar to that of W_{3} gravity. The physical content of the model is briefly discussed.
 Publication:

Physics Letters B
 Pub Date:
 November 1990
 DOI:
 10.1016/03702693(90)90231T
 Bibcode:
 1990PhLB..251...54L