The Induced action of W(3) gravity
Jun, 1991
37 pages
Published in:
- Commun.Math.Phys. 145 (1992) 515-540
DOI:
Report number:
- RIMS-764,
- ITP-SB-91-16
Citations per year
Abstract: (Springer)
We obtain the induced action Γ[h, b] for chiralW3 gravity in thec→±∞ limit from the induced action of a gaugedSl(3,R) Wess-Zumino-Witten model by imposing constraints on the currents of the latter. In the process we find a closed gauge algebra for the gauge sector ofW3 gravity in which the currentsT andW become auxiliary fields. An explicit realization ofT andW in terms of the gauge fields is given. In terms of new fieldsr ands, which are a generalization of Polyakov'sf variable for ordinary gravity, the complete induced action Γ[h, b; c→±∞] becomes local.- gravitation: induced
- gauge field theory: W(3)
- Wess-Zumino-Witten model
- gauge field theory
- dimension: 2
- algebra: gauge
References(20)
Figures(0)