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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 18, 2011 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)

Conformal Toda theory with a boundary

Sylvain Ribault

Montpellier II et Poncelet

Abstract: We investigate $s\ell_n$ conformal Toda theory with maximally symmetric boundaries, using classical and conformal bootstrap methods. We compare the results with the well-known case of Liouville theory ($n=2$). For all values of $n\ge 2$, we find that there exist D-branes of all possible dimensions $0\le d\le n-1$. For $n\ge 3$ however, there appear infinite multiplicities in the boundary spectrum, in sharp contrast with the Liouville case.