Conformally Invariant Path Integral Formulation of the Wess-Zumino-Witten $\to$ Liouville Reduction
| Autor: | L. O'Raifeartaigh, V. V. Sreedhar |
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| Rok vydání: | 1997 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Conformal anomaly FOS: Physical sciences Invariant (physics) Formalism (philosophy of mathematics) High Energy Physics::Theory High Energy Physics - Theory (hep-th) Conformal symmetry Phase space Path integral formulation Virasoro algebra Mathematical physics |
| DOI: | 10.48550/arxiv.hep-th/9709143 |
| Popis: | The path integral description of the Wess-Zumino-Witten $\to$ Liouville reduction is formulated in a manner that exhibits the conformal invariance explicitly at each stage of the reduction process. The description requires a conformally invariant generalization of the phase space path integral methods of Batalin, Fradkin, and Vilkovisky for systems with first class constraints. The conformal anomaly is incorporated in a natural way and a generalization of the Fradkin-Vilkovisky theorem regarding gauge independence is proved. This generalised formalism should apply to all conformally invariant reductions in all dimensions. A previous problem concerning the gauge dependence of the centre of the Virasoro algebra of the reduced theory is solved. Comment: Plain TeX file; 28 Pages |
| Databáze: | OpenAIRE |
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