Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-16
Annales Henri Poincare 7 (2006) 1375-1393
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 1 figure
Scientific paper
10.1007/s00023-006-0284-6
The method of bosonization is extended to the case when a dissipationless point-like defect is present in space-time. Introducing the chiral components of a massless scalar field, interacting with the defect in two dimensions, we construct the associated vertex operators. The main features of the corresponding vertex algebra are established. As an application of this framework we solve the massless Thirring model with defect. We also construct the vertex representation of the sl(2) Kac-Moody algebra, describing the complex interplay between the left and right sectors due to the interaction with the defect. The Sugawara form of the energy-momentum tensor is also explored.
Mintchev Mihail
Sorba Paul
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