Liouville theory on the pseudosphere: bulk-boundary structure constant
نویسندگان
چکیده
منابع مشابه
Bulk-Boundary Propagator in Liouville Theory on a Disc
We study Liouville theory on worldsheets with boundary using the solutions of KnizhnikZamolodchikov equation involving a degenerate representation of the Virasoro algebra. The expression for bulk-boundary propagator on a disc is proposed.
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We provide a framework to build periodic boundary conditions on the pseudosphere (or hyperbolic plane), the infinite two-dimensional Riemannian space of constant negative curvature. Starting from the common case of periodic boundary conditions in the Euclidean plane, we introduce all the needed mathematical notions and sketch a classification of periodic boundary conditions on the hyperbolic pl...
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We develop a perturbative expansion of quantum Liouville theory on the pseudosphere around the background generated by heavy charges. Explicit results are presented for the one and two point functions corresponding to the summation of infinite classes of standard perturbative graphs. The results are compared to the one point function and to a special case of the two point function derived by Za...
متن کاملStandard and geometric approaches to quantum Liouville theory on the pseudosphere 1
We compare the standard and geometric approaches to quantum Liouville theory on the pseudosphere by performing perturbative calculations of the one and two point functions up to the third order in the coupling constant. The choice of the Hadamard regularization within the geometric approach leads to a discrepancy with the standard approach. On the other hand, we find complete agreement between ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2004
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2004.03.025