Integrable Conformal Field Theory - A Case Study

Journal Article · Thu Jun 17 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3460178· OSTI ID:21366963

Schomerus, Volker ^[1]

---

1. DESY Hamburg, Theory Group, Notkestrasse 85, D-22607 Hamburg (Germany)

Over the last decades, 2-dimensional conformal field theory has been developed into a powerful tool that has been applied to problems in diverse branches of physics and mathematics. Models are usually solved algebraically by exploiting certain infinite dimensional symmetries. But the presence of sufficient world-sheet symmetry is a rather exceptional feature, one that is e.g. not present for curved string backgrounds at generic points in moduli space. In this note I review some recent work which aims at computing spectra of conformal sigma models without spectrum generating symmetries. Our main results are illustrated at the example of complex projective superspace (C) P{sup N-1|N}. This note is based on several publications with C. Candu, T. Creutzig, V. Mitev, T. Quella and H. Saleur.

• OSTI ID: 21366963
• Journal Information: AIP Conference Proceedings, Vol. 1243, Issue 1; Conference: 8. international workshop on Lie theory and its applications in physics, Varna (Bulgaria), 15-21 Jun 2009; Other Information: DOI: 10.1063/1.3460178; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
INTEGRAL CALCULUS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
SIGMA MODEL
SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
BOSON-EXCHANGE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
PERIPHERAL MODELS
SYMMETRY