# On the gl(1|1) Wess-Zumino-Witten model

@article{Troost2017OnTG,
title={On the gl(1|1) Wess-Zumino-Witten model},
author={Jan Troost},
journal={Journal of High Energy Physics},
year={2017},
volume={2017},
pages={1-38}
}
• J. Troost
• Published 4 January 2017
• Mathematics
• Journal of High Energy Physics
A bstractWe continue the study of the gl(1|1) Wess-Zumino-Witten model. The Knizhnik-Zamolodchikov equations for the one, two, three and four point functions are analyzed, for vertex operators corresponding to typical and projective representations. We demonstrate their interplay with the logarithmic global conformal Ward identities. We compute the four point function for one projective and three typical representations. Three coupled first order Knizhnik-Zamolodchikov equations are integrated…
3 Citations
The GL(1∣1) WZW model in the free field realization that uses the bc system is revisited. By bosonizing the bc system we describe the Neveu-Schwarz and Ramond sector modules enNS=⨁l∈Zenl and
We revisit the derivation of Knizhnik–Zamolodchikov equations in the case of non-semisimple categories of modules of a superalgebra in the case of the generic affine level and representations
• A. Babichenko
• Materials Science
Letters in Mathematical Physics
• 2021
We revisit the derivation of Knizhnik–Zamolodchikov equations in the case of non-semisimple categories of modules of a superalgebra in the case of the generic affine level and representations

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