University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Poisson-Lie T-Duality beyond the classical level and the renormalization group

Sfetsos, K (1998) Poisson-Lie T-Duality beyond the classical level and the renormalization group Phys.Lett. B, 432. pp. 365-375.

Full text not available from this repository.

Abstract

In order to study quantum aspects of $\s$-models related by Poisson--Lie T-duality, we construct three- and two-dimensional models that correspond, in one of the dual faces, to deformations of $S^3$ and $S^2$. Their classical canonical equivalence is demonstrated by means of a generating functional, which we explicitly compute. We examine how they behave under the renormalization group and show that dually related models have the same 1-loop beta functions for the coupling and deformation parameters. We find non-trivial fixed points in the ultraviolet, where the theories do not become asymptotically free. This suggests that the limit of Poisson--Lie T-duality to the usual Abelian and non-Abelian T-dualities does not exist quantum mechanically, although it does so classically.

Item Type: Article
Authors :
NameEmailORCID
Sfetsos, Kk.sfetsos@surrey.ac.ukUNSPECIFIED
Date : 3 March 1998
Identification Number : https://doi.org/10.1016/S0370-2693(98)00666-2
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 17 May 2017 12:27
URI: http://epubs.surrey.ac.uk/id/eprint/835400

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800