Pith. sign in

REVIEW 3 cited by

Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1501.01600 v2 pith:KH3GVWYI submitted 2015-01-07 hep-th math-phmath.MP

Olaf Hohm , Yi-Nan Wang This is my paper
classification hep-thmath-phmath.MP
keywords theorygeneralizedtensorcalculuscoordinatesdifferentialexceptionalexternal
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We construct exceptional field theory for the duality group SL(3)$\times$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 invariance can be made manifest by introducing higher form gauge fields and a so-called tensor hierarchy, which we systematically develop to much higher degree than in previous studies. To this end we introduce a novel Cartan-like tensor calculus based on a covariant nil-potent differential, generalizing the exterior derivative of conventional differential geometry. The theory encodes the full $D=11$ or type IIB supergravity, respectively.

Discussion (0). Sign in to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cobordism Utopia: U-Dualities, Bordisms, and the Swampland

    hep-th 2025-05 conditional novelty 7.0 of 10

    For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.

  2. Duality-covariant particles and exotic branes

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.

  3. Gauged Extended Field Theory and Generalised Cartan Geometry

    hep-th 2025-09 conditional novelty 6.0 of 10

    A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.

Pith tools