Exceptional field theory: SO(5,5)

Journal of High Energy Physics. 2015. No. 6, Article number 88.

Абзалов А. Р., Bakhmatov I., Мусаев Э. Т.

We construct Exceptional Field Theory for the group SO(5, 5) based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal D = 6 supergravity. We present both a true action and a duality-invariant pseudo-action formulations. All the fields of the theory depend on the complete extended spacetime. The U-duality group SO(5, 5) is made a geometric symmetry of the theory by virtue of introducing the generalised Lie derivative that incorporates a duality transformation. Tensor hierarchy appears as a natural consequence of the algebra of generalised Lie derivatives that are viewed as gauge transformations. Upon truncating different subsets of the extra coordinates, maximal supergravities in D = 11 and D = 10 (type IIB) can be recovered from this theory. © 2015, The Author(s).

Ключевые слова: String Duality, Gauge Symmetry, Supergravity Models