12 research outputs found
Singular Liouville fields and spiky strings in \rr^{1,2} and SL(2,\rr)
The closed string dynamics in \rr^{1,2} and SL(2,\rr) is studied within
the scheme of Pohlmeyer reduction. In both spaces two different classes of
string surfaces are specified by the structure of the fundamental quadratic
forms. The first class in \rr^{1,2} is associated with the standard lightcone
gauge strings and the second class describes spiky strings and their conformal
deformations on the Virasoro coadjoint orbits. These orbits correspond to
singular Liouville fields with the monodromy matrixes . The first class
in SL(2,\rr) is parameterized by the Liouville fields with vanishing chiral
energy functional. Similarly to \rr^{1,2}, the second class in SL(2,\rr)
describes spiky strings, related to the vacuum configurations of the
SL(2,\rr)/U(1) coset model.Comment: 37 p. 6 fi
FZZ Scattering
We study the duality between the two dimensional black hole and the
sine-Liouville conformal field theories via exact operator quantization of a
classical scattering problem. The ideas are first illustrated in Liouville
theory, which is dual to itself under the interchange of the Liouville
parameter b by 1/b. In both cases, a classical scattering problem does not
determine uniquely the quantum reflection coefficient. The latter is only fixed
by assuming that the dual scattering problem has the same reflection
coefficient. We also discuss the relation of this approach to the method that
exploits the parafermionic symmetry of the model to compute the reflection
coefficient.Comment: 19 pages, JHEP style. v2: Minor changes in the proposed field of
sine-Liouville type, new section discussing the relation with parafermionic
symmetry, references adde
Moduli Dynamics of AdS_3 Strings
We construct a general class of solutions for a classical string in AdS_3
spacetime. The construction is based on a Pohlmeyer type reduction, with the
sinh-Gordon model providing the general N-soliton solutions. The corresponding
exact spiky string configurations are then reconstructed through the inverse
scattering method. It is shown that the string moduli are determined entirely
by those of the solitons.Comment: 22 pages, no figures; references adde