The GL(1|1) WZW-model: From supergeometry to logarithmic CFT
By V. Schomerus, H. Saleur. 2005
145 citations recorded by the source corpus.
Abstract We present a complete solution of the WZW model on the supergroup GL ( 1 | 1 ) . Our analysis begins with a careful study of its minisuperspace limit (“harmonic analysis on the supergroup”). Its spectrum is shown to contain indecomposable representations. This is interpreted as a geometric signal for the appearance of logarithms in the correlators of the full field theory. We then discuss the representation theory of the gl ( 1 | 1 ) current algebra and propose an Ansatz for the state space of the WZW model. The latter is established through an explicit computation of the correlation function. We show in particular, that the 4-point functions of the theory factorize on the proposed set of states and that the model possesses an interesting spectral flow symmetry. The note concludes with some remarks on generalizations to other supergroups.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5b7e6d9e20bbff72fdd982706aaad48b0c3bde9a
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In Geometry and Topology
In Nuclear and High Energy Physics
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Citations in the corpus
- The WZNW model on PSU (1,1|2) (2006, methodology): “Following the general strategy adopted in [20] we will start with an analysis of the decoupled theory and consider the additional term as a perturbation.”
- Logarithmic conformal field theory: beyond an introduction (2013, methodology): “[138] G Gotz, T Quella and V Schomerus.”