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Report number hep-th/9803259 ; CERN-TH-98-102 ; CTP-TAMU-13-98 ; IMPERIAL-TP-97-98-34 ; LPTENS-98-12 ; CERN-TH-98-102 ; CTP-TAMU-98-13 ; IMPERIAL-TP-97-98-34 ; LPT-ENS-98-12
Title Euclidean-signature Supergravities, Dualities and Instantons
Author(s) Cremmer, E. (Ecole Normale Superieure) ; Lavrinenko, I.V. (Texas A-M) ; Lu, Hong (Ecole Normale Superieure) ; Pope, C.N. (Texas A-M) ; Stelle, K.S. (Imperial Coll., London) ; Tran, Tuan A. (Texas A-M)
Affiliation (CERN)
Publication 1998
Imprint 1 Apr 1998
Number of pages 50
Note Latex, 50 pages, typos corrected and references added
In: Nucl. Phys. B 534 (1998) 40-82
DOI 10.1016/S0550-3213(98)00515-X
Subject category Particle Physics - Theory
Abstract We study the Euclidean-signature supergravities that arise by compactifying D=11 supergravity or type IIB supergravity on a torus that includes the time direction. We show that the usual T-duality relation between type IIA and type IIB supergravities compactified on a spatial circle no longer holds if the reduction is performed on the time direction. Thus there are two inequivalent Euclidean-signature nine-dimensional maximal supergravities. They become equivalent upon further spatial compactification to D=8. We also show that duality symmetries of Euclidean-signature supergravities allow the harmonic functions of any single-charge or multi-charge instanton to be rescaled and shifted by constant factors. Combined with the usual diagonal dimensional reduction and oxidation procedures, this allows us to use the duality symmetries to map any single-charge or multi-charge p-brane soliton, or any intersection, into its near-horizon regime. Similar transformations can also be made on non-extremal p-branes. We also study the structures of duality multiplets of instanton and (D-3)-brane solutions.
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