O(d,d;R) Deformations of Complex Structures and Extended Worldsheet Supersymmetry

Details O(d,d;R) Deformations of Complex Structures and Extended Worldsheet Supersymmetry O(d,d;R) Deformations of Complex Structures and Extended Worldsheet Supersymmetry

1994-08-10

arxiv.org/abs/hep-th/9408060v3

Nucl.Phys. B454 (1995) 86-102

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex, very minor changes (version to appear in Nuclear Physics B)

Scientific paper

10.1016/0550-3213(95)00384-5

It is shown that the O(d,d;R) deformations of the superstring vacua and the O(d,d+16;R) deformations of the heterotic string vacua preserve extended worldsheet supersymmetry and, hence, generate superconformal deformations. The transformations of the complex structures are given explicitly and the action of the discrete duality subgroup is discussed. The results are valid when the complex structures are independent of the d coordinates which appear in the transformations. It is shown that generic deformations do not preserve the known superfield formulations of (2,2) extended supersymmetry. The analysis is performed by decomposing the transformations in terms of the metric vielbein and by introducing space-time connections induced due to the non-linear action of the O(d,d;R) and O(d,d+16;R) deformations on the background fields.

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