2000
DOI: 10.1088/0264-9381/18/2/307
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Supersymmetric quantum corrections and Poisson-Lie T -duality

Abstract: The quantum actions of the (4,4) supersymmetric nonlinear sigma model and its dual in the Abelian case are constructed by using the background superfield method. The propagators of the quantum superfield and its dual and the gauge-fixing actions of the original and dual (4,4) supersymmetric sigma models are determined. On the other hand, the BRST transformations are used to obtain the quantum dual action of the (4,4) supersymmetric nonlinear sigma model in the sense of a Poisson-Lie T-duality.

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Cited by 2 publications
(3 citation statements)
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“…18) and the decomposition of a general group element we choose as 19) which is equivalent to a change of coordinates x 1 = −y 1 , x 2 = . .…”
Section: An Explicit Example Duals Of Bianchi Vmentioning
confidence: 99%
See 1 more Smart Citation
“…18) and the decomposition of a general group element we choose as 19) which is equivalent to a change of coordinates x 1 = −y 1 , x 2 = . .…”
Section: An Explicit Example Duals Of Bianchi Vmentioning
confidence: 99%
“…Therefore a mistake in the dilaton transformation formula was not discovered. Further quantum properties were studied and discussed in [15,16,17,18,19]. By now Poisson-Lie Tduality is quite well studied and generalizations have been made in several directions.…”
Section: Introductionmentioning
confidence: 99%
“…The quantum setting has been treated in [2,3,4], of which the most relevant reference for our discussion is the path-integral treatment in [3]. Supersymmetric extensions have been discussed in [5,6,7,8,9].…”
Section: Introductionmentioning
confidence: 99%