Generalized E 7(7) coset dynamics and D = 11 supergravity

159

295

We develop doubled-coordinate field theory to determine the α ′ corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free left-handed bosons that makes O(D,D) T-duality manifest. While T-dualities are unchanged, diffeomorphisms and b-field gauge transformations receive corrections, with a gauge algebra given by an α ′ -deformation of the duality-covariantized Courant bracket. The action is cubic in a double metric field, an unconstrained extension of the generalized metric that encodes the gravitational fields. Our approach provides a consistent truncation of string theory to massless fields with corrections that close at finite order in α ′ .

Section: Jhep02(2014)065mentioning

confidence: 99%

Doubled α ′-geometry

Hohm¹,

Siegel

Zwiebach

2014

159

295

“…[22]. Such an extended spacetime has later been implemented for E 7(7) in a particular truncation of D = 11 supergravity that retains only the internal coordinates and field components of the (4 + 7) splitting [23]. More recently, similar reformulations of D = 11 supergravity have been given for the analogous truncations, casting the theory and their residual gauge transformations into a covariant form [18,19,24].…”

Section: Jhep09(2014)044mentioning

confidence: 99%

Supersymmetric E7(7) exceptional field theory

Godazgar

Hohm

et al. 2014

164

Abstract:We give the supersymmetric extension of exceptional field theory for E 7(7) , which is based on a (4 + 56)-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group SO(1, 3) × SU(8) and transform as scalar densities under the E 7(7) (internal) generalized diffeomorphisms. The supersymmetry transformations are manifestly covariant under these symmetries and close, in particular, into the generalized diffeomorphisms of the 56-dimensional space. We give the fermionic field equations and prove supersymmetric invariance. We establish the consistency of these results with the recently constructed generalized geometric formulation of D = 11 supergravity.

“…Finally we end with some comments on the extension of these ideas to the extended, exceptional geometries that occur in M-theory where the full U-duality groups are made a manifest symmetry [58,[60][61][62][63][64][65][66][67][68][69][70][71][72][73].…”

Section: Jhep09(2014)066mentioning

confidence: 99%

“…[58,[60][61][62][63][64][65][66][67][68][69][70][71][72][73]. We refer the reader to those papers or the reviews [16,17] for an introduction.…”

Section: Jhep09(2014)066mentioning

confidence: 99%

Global aspects of double geometry

Berman

Cederwall

Perry³

2014

123

Abstract:We consider the concept of a generalised manifold in the O(d, d) setting, i.e., in double geometry. The conjecture by Hohm and Zwiebach for the form of finite generalised diffeomorphisms is shown to hold. Transition functions on overlaps are defined. Triple overlaps are trivial concerning their action on coordinates, but non-trivial on fields, including the generalised metric. A generalised manifold is an ordinary manifold, but the generalised metric on the manifold carries a gerbe structure. We show how the abelian behaviour of the gerbe is embedded in the non-abelian T-duality group. We also comment on possibilities and difficulties in the U-duality setting.