Duality and Restoration of Manifest Supersymmetry

Sfetsos, K (1995) Duality and Restoration of Manifest Supersymmetry Nucl.Phys. B, 463. pp. 33-54.

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Abstract

World-sheet and spacetime supersymmetries that are manifest in some string backgrounds may not be so in their T-duals. Nevertheless, they always remain symmetries of the underlying conformal field theory. In previous work the mechanism by which T-duality destroys manifest supersymmetry and gives rise to non-local realizations was found. We give the general conditions for a 2-dim N=1 supersymmetric sigma-model to have non-local and hence non-manifest extended supersymmetry. We then examine T-duality as a mechanism of restoring manifest supersymmetry. This happens whenever appropriate combinations of non-local parafermions of the underlying conformal field theory become local due to non-trivial world-sheet effects. We present, in detail, an example arising from the model SU(2)/U(1) X SL(2,R)/U(1) and obtain a new exact 4-dim axionic instanton, that generalizes the SU(2) X U(1) semi-wormhole, and has manifest spacetime as well as N=4 world-sheet supersymmetry. In addition, general necessary conditions for abelian T-duality to preserve manifest N=4 world-sheet supersymmetry are derived and applied to WZW models based on quaternionic groups. We also prove some theorems for sigma-models with non-local N=4 world-sheet supersymmetry.

Item Type:	Article
Authors :	Name Email ORCID Sfetsos, K k.sfetsos@surrey.ac.uk
Date :	6 October 1995
DOI :	10.1016/0550-3213(96)00005-3
Uncontrolled Keywords :	hep-th, hep-th
Related URLs :	Author Publisher
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/835388

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