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Singular Liouville fields and spiky strings in Bbb R1,2 and SL(2,Bbb R)

George Jorjadze1,2

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The closed string dynamics in Bbb R1,2 and SL(2,Bbb R) 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 Bbb R1,2 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 ± I. The first class in SL(2,Bbb R) is parameterized by the Liouville fields with vanishing chiral energy functional. Similarly to Bbb R1,2, the second class in SL(2,Bbb R) describes spiky strings, related to the vacuum configurations of the SL(2,Bbb R)/U(1) coset model.

Keywords

Integrable Field Theories

AdS-CFT and dS-CFT Correspondence

Bosonic Strings

Conformal Field Models in String Theory

 

E-print Number: 0909.0350

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.25.Yb M theory

02.40.-k Geometry, differential geometry, and topology

11.30.Cp Lorentz and Poincare invariance

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 10 (October 2009)

Received 11 September 2009, accepted for publication 6 October 2009

Published 29 October 2009



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