Defects and Permutation branes in the Liouville field theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages, minor corrections done, references added

Scientific paper

10.1016/j.nuclphysb.2009.06.012

The defects and permutation branes for the Liouville field theory are
considered. By exploiting cluster condition, equations satisfied by permutation
branes and defects reflection amplitudes are obtained. It is shown that two
types of solutions exist, discrete and continuous families.

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