# 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} }

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 free ﬁeld representation for the GL(1|1) WZW model revisited

- MathematicsPhysica Scripta
- 2022

The GL(1|1) WZWmodel 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 VenNS = Ll∈ℤ Venl and…

### The Drinfeld-Kohno theorem for the superalgebra $gl(1|1)$

- Mathematics
- 2020

We revisit the derivation of Knizhnik-Zamolodchikov equations in the case of nonsemisimple categories of modules of a superalgebra in the case of the generic affne level and representations…

### The Drinfeld–Kohno theorem for the superalgebra $${\mathfrak {gl}}(1|1)$$

- Mathematics
- 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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