Hierarchy of curvatures in exceptional geometry - INSPIRE

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Hierarchy of curvatures in exceptional geometry

Falk Hassler
(
- Wroclaw U.
)
,
Yuho Sakatani
(
- Kyoto Prefectural U.
)

Nov 20, 2023

7 pages

Published in:

Phys.Rev.D 109 (2024) 10, 106002

Published: May 1, 2024

e-Print:

2311.12095 [hep-th]

DOI:

10.1103/PhysRevD.109.106002 (publication)

View in:

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Abstract: (APS)

Despite remarkable success in describing supergravity reductions and backgrounds, generalized geometry and exceptional field theory are still lacking a fundamental object of differential geometry, the Riemann tensor. We show that to construct it, a hierarchy of connections is required. They complement the spin connection with higher representations known from the tensor hierarchy. This approach allows to define generalized homogeneous spaces which underlie generalized U-duality, admit consistent truncations and provide a huge class of new flux backgrounds with nontrivial structure groups.

Note:

6 pages and 1 page supplementary material

tensor: Riemann
compactification: flux
diffeomorphism
exceptional
supergravity
curvature
U-duality
differential geometry
group: Lie

References(32)

Figures(0)

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