On the duality of quantum liouville field theory
It has been found empirically that the Virasoro centre and 3-point functions of quantum Liouville field theory with potential e2bΦ(x) and external primary fields exp(αΦ(x)), are invariant with respect to the duality transformations ℏα→q-α where q=b-1+b. The steps leading to this result (via the Vira...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2000
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| In: |
International journal of modern physics. A, Particles and fields, gravitation, cosmology
Year: 2000, Jahrgang: 14, Heft: 22n23, Pages: 2401-2409 |
| ISSN: | 1793-656X |
| DOI: | 10.1142/S0217979200001928 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1142/S0217979200001928 Verlag, Volltext: http://www.worldscientific.com/doi/abs/10.1142/S0217979200001928 
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| Verfasserangaben: | L. O'raifeartaigh, J.M. Pawlowski, V.V. Sreedhar |
| Zusammenfassung: | It has been found empirically that the Virasoro centre and 3-point functions of quantum Liouville field theory with potential e2bΦ(x) and external primary fields exp(αΦ(x)), are invariant with respect to the duality transformations ℏα→q-α 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 α and the conformal weights Δα 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. |
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| Beschreibung: | Gesehen am 06.12.2017 |
| Beschreibung: | Online Resource |
| ISSN: | 1793-656X |
| DOI: | 10.1142/S0217979200001928 |