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

  title={On the gl(1|1) Wess-Zumino-Witten model},
  author={Jan Troost},
  journal={Journal of High Energy Physics},
  • 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… 

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

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 $gl(1|1)$

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 $${\mathfrak {gl}}(1|1)$$

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 GL(1|1)-symplectic fermion correspondence

The WZNW model on PSU (1,1|2)

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

Branes in the GL(1|1) WZNW-Model

The GL(1|1) WZW-model: From supergeometry to logarithmic CFT

Quantum field theory for the multi-variable Alexander-Conway polynomial

Current Algebra and Wess-Zumino Model in Two-Dimensions

The gl(1|1) super-current algebra: the role of twist and logarithmic fields

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

Conformal superspace sigma-models