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) 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∈Zenl and…
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…
The Drinfeld–Kohno theorem for the superalgebra gl(1|1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak {gl}
- Materials ScienceLetters 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…
References
SHOWING 1-10 OF 27 REFERENCES
The WZNW model on PSU (1,1|2)
- Physics
- 2006
Abstract. According to the work of Berkovits, Vafa and Witten, the non-linear sigma model on the supergroup PSU(1,1|2) is the essential building block for string theory on AdS3 × S3 × T4. Models…
The gl(1|1) super-current algebra: the role of twist and logarithmic fields
- Physics, Mathematics
- 2007
A free field representation of the gl(1|1)_k current algebra at arbitrary level k is given in terms of two scalar fields and a symplectic fermion. The primary fields for all representations are…