E11 and exceptional field theory

Loops in exceptional field theory

Exceptional Field Theory. I. E[subscript 6(6)]-Covariant Form of M-Theory and Type IIB

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We present the details of the recently constructed E 6ð6Þ-covariant extension of 11-dimensional supergravity. This ...

E11, K11 and EE11

In the study of conjecture on M-theory as a non-linear realization E11/K11 we present arguments for the following: 1)roots of K11 coincide with the roots of Kac-Moody algebra EE11 with Dynkin diagram given in the paper, 2)one of the fundamental weights of EE11 coincides with l1 weight of E11, known to contain 11d supergravity brane charges. The statement 1) is extended on E10 and E9 algebras. E...

An Action for F-theory: SL(2)× R Exceptional Field Theory

We construct the 12-dimensional exceptional field theory associated to the group SL(2)× R. Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that must be imposed on all fields. This constraint has two inequivalent solutions, one giving rise to 11-dimensional supergravity and the other leading to F-theory. Thus SL(2) × R exceptional f...

Tensor hierarchy and generalized Cartan calculus in SL(3)×SL(2) exceptional field theory

We construct exceptional field theory for the duality group SL(3)×SL(2). The theory is defined on a space with 8 ‘external’ coordinates and 6 ‘internal’ coordinates in the (3, 2) fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely determined by gauge invariance under generalized external and internal diffeomorphisms. The latter invarianc...