Abstract
Mappings between certain infinite series of WZW theories, and of N = 2 superconformal coset models are constructed. In the WZW case these mappings provide level-rank dualities for B, C and D type theories, which to some extent were known previously. The WZW level-rank dualities do not constitute isomorphisms of the theories; for example, for B and D type WZW theories, only simple current orbits rather than individual primary fields are mapped onto each other. Nevertheless these WZW dualities lead to level-rank dualities of N = 2 coset models that preserve the conformal field theory properties in such a manner that the coset models related by duality are expected to be in fact isomorphic as conformal field theories; in particular, the representation of the modular group on the characters and the ground states of the Ramond sector are shown to coincide. The construction also gives some further insight in the nature of the resolution of field identification fixed points of coset theories. (orig.)
Fuchs, J;
[1]
Schweigert, C
[2]
- Nationaal Inst. voor Kernfysica en Hoge-Energiefysica (NIKHEF), Amsterdam (Netherlands). Sectie H
- Heidelberg Univ. (Germany). Inst. fuer Theoretische Physik
Citation Formats
Fuchs, J, and Schweigert, C.
Level-rank duality of WZW theories and isomorphisms of N=2 coset models.
Netherlands: N. p.,
1993.
Web.
Fuchs, J, & Schweigert, C.
Level-rank duality of WZW theories and isomorphisms of N=2 coset models.
Netherlands.
Fuchs, J, and Schweigert, C.
1993.
"Level-rank duality of WZW theories and isomorphisms of N=2 coset models."
Netherlands.
@misc{etde_10153602,
title = {Level-rank duality of WZW theories and isomorphisms of N=2 coset models}
author = {Fuchs, J, and Schweigert, C}
abstractNote = {Mappings between certain infinite series of WZW theories, and of N = 2 superconformal coset models are constructed. In the WZW case these mappings provide level-rank dualities for B, C and D type theories, which to some extent were known previously. The WZW level-rank dualities do not constitute isomorphisms of the theories; for example, for B and D type WZW theories, only simple current orbits rather than individual primary fields are mapped onto each other. Nevertheless these WZW dualities lead to level-rank dualities of N = 2 coset models that preserve the conformal field theory properties in such a manner that the coset models related by duality are expected to be in fact isomorphic as conformal field theories; in particular, the representation of the modular group on the characters and the ground states of the Ramond sector are shown to coincide. The construction also gives some further insight in the nature of the resolution of field identification fixed points of coset theories. (orig.)}
place = {Netherlands}
year = {1993}
month = {Jul}
}
title = {Level-rank duality of WZW theories and isomorphisms of N=2 coset models}
author = {Fuchs, J, and Schweigert, C}
abstractNote = {Mappings between certain infinite series of WZW theories, and of N = 2 superconformal coset models are constructed. In the WZW case these mappings provide level-rank dualities for B, C and D type theories, which to some extent were known previously. The WZW level-rank dualities do not constitute isomorphisms of the theories; for example, for B and D type WZW theories, only simple current orbits rather than individual primary fields are mapped onto each other. Nevertheless these WZW dualities lead to level-rank dualities of N = 2 coset models that preserve the conformal field theory properties in such a manner that the coset models related by duality are expected to be in fact isomorphic as conformal field theories; in particular, the representation of the modular group on the characters and the ground states of the Ramond sector are shown to coincide. The construction also gives some further insight in the nature of the resolution of field identification fixed points of coset theories. (orig.)}
place = {Netherlands}
year = {1993}
month = {Jul}
}