On the Duality of Quantum Liouville Field Theory
Authors : L. O'raifeartaigh, J. M. Pawlowski And V. V. Sreedhar
Pages : 435-444
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :It has been found empirically that the Virasoro centre and 3-point functions of quantum Liouville field theory with potential e2bf(x) and external primary fields exp(af(x)) are invariant with respect to the duality transformations \hbar a\rightarrow q-a where q=b-1+b. The steps leading to this result (via the Virasoro algebra and 3-point functions) are reviewed in the path-integral formalism. The duality stems from the fact that the quantum relationship between the a and the conformal weights D\alpha is two-to-one. As a result the quantum Liouville potential may actually contain two exponentials (with related parameters). It is shown that in the two-exponential theory the duality appears in a natural way and that an important extrapolation which was previously conjectured can be proved.Keywords : Turk. J. Phys., 24, (2000), 435-444. Full text: pdf Other articles published in the same issue: Turk. J. Phys., vol.24, iss.3.