Generalizing eleven-dimensional supergravity
Ilya Bakhmatov (Institute of Theoretical and Mathematical Physics, Moscow State University, 119991 Moscow, Russia); Aybike Catal-Ozer (Department of Mathematics, Istanbul Technical University, 34469 Istanbul, Turkey); Nihat Sadik Deger (Department of Mathematics, Bogazici University, Bebek, 34342 Istanbul, Turkey); Kirill Gubarev (Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia); Edvard T. Musaev (Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia)
We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations that facilitates generalization to U-duality covariant formulations of eleven-dimensional supergravity. The latter leads to a modification of the eleven-dimensional supergravity equations with terms that contain a rank-2 tensor field, which is the eleven-dimensional analog of the nonunimodularity Killing vector in ten dimensions.
