U-duality in three and four dimensions

Malek, Emanuel (2017): U-duality in three and four dimensions. In: International Journal of Modern Physics A, Bd. 32, Nr. 27, 1750169

Abstract

Using generalised geometry we study the action of U-duality acting in three and four dimensions on the bosonic fields of 11-dimensional supergravity. We compare the U-duality symmetry with the T-duality symmetry of double field theory and see how the SL (2) circle times SL (3) and SL (5) U-duality groups reduce to the SO (2;2) and SO (3;3) T-duality symmetry groups of the type IIA theory. As examples we dualise M2-branes, both black and extreme. We find that uncharged black M2-branes become charged under U-duality, generalising the Harrison transformation, while extreme M2-branes will become new extreme M2-branes. The resulting tension and charges are quantised appropriately if we use the discrete U-duality group E-d(Z).

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0217-751X
• Sprache: Englisch