W gravities, Toda theories and the geometry of the central charge
Nov, 199041 pages
Published in:
- Nucl.Phys.B 364 (1991) 621-661
- Published: 1991
Report number:
- QMW-PH-90-14
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Abstract: (Elsevier)
Classical two-dimensional conformal field theories such as Toda models that are invariant under classical Virasoro or W -algebra symmetries with non-zero central charges are discussed. A naive gauging of such symmetries by coupling to gravity or W -gravity is shown not to work if there are central charges, and two successful ways of gauging are presented. The first is Weyl invariant and requires the introduction of spin-zero fields which can be thought of as gauge fields for gauge transformations generated by the central charges. The second involves, for the Virasoro algebra, a “non-geometric” coupling to all components of the metric and violates Weyl invariance.- gravitation: W(N)
- field theory: Toda
- field theory: conformal
- central charge
- dimension: 2
- invariance: Weyl
- quantization: Becchi-Rouet-Stora
- ghost
- string model
- field theory: topological
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