U-duality in three and four dimensions

作者：Malek Emanuel^*

来源：International Journal of Modern Physics A, 2017, 32(27): 1750169.

DOI：10.1142/S0217751X1750169X

• M-theory
• string duality
• supergravity models

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).

• 出版日期2017-9-30