M-theory and type IIB from a duality manifest action

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.

show abstract

“…Inspection of the first of these expressions leads to the guess 30) where the vector notation denotes…”

Section: Jhep09(2014)066mentioning

confidence: 99%

“…refs. [29][30][31][32][33][34], and a full listing of all the interesting and relevant work is outside the scope of this brief note and so we refer the reader to the three reviews for a review of developments and a fuller list of citations of this rapidly maturing subject.…”

Section: Of the O(d D)/o(d) × O(d)mentioning

confidence: 99%

Global aspects of double geometry

Berman

Cederwall

Perry³

2014

J. High Energ. Phys.

123

View full text Add to dashboard Cite

show abstract

“…With the Riemannian ansatz (3.117), the U-gravity scalar curvature (3.112) reduces to (2.42) which features SL(N − 3) S-duality and agrees with [80] when N = 5. Consistently, the generalized Lie derivative (2.8) decomposes into the three-dimensional ordinary Lie derivative and the gauge symmetry of the two-form potentials.…”

Section: Jhep06(2014)102mentioning

confidence: 81%

“…Reduction upon Σ 3 . For the Riemannian reduction of U-gravity to the threedimensional section, Σ 3 (2.36), we put [80],…”

Section: Jhep06(2014)102mentioning

confidence: 99%

See 1 more Smart Citation

U-gravity: SL(N)

Park

Suh

2014

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We construct a duality manifest gravitational theory for the special linear group, SL(N ) with N = 4. The spacetime is formally extended, to have the dimension 1 2 N (N − 1), yet is gauged. Consequently the theory is subject to a section condition. We introduce a semi-covariant derivative and a semi-covariant 'Riemann' curvature, both of which can be completely covariantized after symmetrizing or contracting the SL(N ) vector indices properly. Fully covariant scalar and 'Ricci' curvatures then constitute the action and the 'Einstein' equation of motion. For N ≥ 5, the section condition admits duality inequivalent two solutions, one (N − 1)-dimensional and the other three-dimensional. In each case, the theory can describe not only Riemannian but also non-Riemannian backgrounds.

show abstract