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8 páginas.-- PACS number(s): 11.30.Pb, 04.65.+e, 04.70.Dy, 04.30.—wWe study the interplay between T duality, compactification, and supersymmetry. We prove that when the original configuration has unbroken space-time supersymmetries, the dual configuration also does if a special condition is met: the Killing spinors of the original configuration have to be independent of the coordinate which corresponds to the isometry direction of the bosonic fields used for duality. Examples of ‘‘losers’’ (T duals are not supersymmetric) and ‘‘winners’’ (T duals are supersymmetric) are given.The work\udof E.B. has been made possible by the financial support\udof the Royal Netherlands Academy of Arts and Sciences\ud(KNAW). The work of R.K. was supported by NSF Grant\udNo. PHY-8612280. The work of E.B. and R.K. has also\udbeen partially supported by a NATO Collaboration Research\udGrant. The work of T.O. was supported by a\udEuropean Union Human Capital and Mobility program\udgrant.Peer reviewe

Duality versus supersymmetry and compactification