Quantum equivalence of constrained WZNW and Toda theories

O'Raifeartaigh, L.;Ruelle, Philippe;Tsutsui, I.
(1991) Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics — Vol. 258, n° 3-4, p. 359-363 (1991)

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It is shown that the equivalence between constrained Wess-Zumino-Novikov-Witten theories and generalized Toda theories established previously at the classical level is valid also at the quantum level. The point is that the WZNW→Toda reduction of the lagrangian is paralleled by a similar reduction of the path-integral measure.
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O’Raifeartaigh, L., Ruelle, P., & Tsutsui, I. (1991). Quantum equivalence of constrained WZNW and Toda theories. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 258(3-4), 359-363. https://hdl.handle.net/2078.5/56321 (Original work published 1991)