On nonAbelian duality

Mar, 1994
34 pages
Published in:
  • Nucl.Phys.B 424 (1994) 155-183
e-Print:
Report number:
  • CERN-TH-7204-94

Citations per year

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Abstract:
A general study of non-abelian duality is presented. We first identify a possible obstruction to the conformal invariance of the dual theory for non-semisimple groups. We construct the exact non-abelian dual for any Wess-Zumino-Witten (WZW) model for any anomaly free subgroup, and the corresponding extension for coset conformal field theories. We characterize the exact non-abelian dual for σ\sigma-models with chiral isometries and extend the standard notion of duality to anomalous subgroups of WZW models, thus giving a way of constructing dual transformations for different groups on the left and on the right. We also present some new examples of non-abelian duality for four-dimensional gravitational instantons.
Note:
  • 34 p, LaTex, preprint CERN-TH-7204/94, problems with the generation of ps and pdf solved Journal-ref: Nucl.Phys. B424 (1994) 155-183
  • field theory: conformal
  • dimension: 2
  • duality: nonabelian
  • Wess-Zumino-Witten model
  • effective action
  • anomaly
  • operator: determinant
  • partition function
  • ghost
  • gravitation: instanton