Higher Derivative 6D Supergravity and Quaternionic Kahler Spaces

23 Aug 2021, 22:35
40m
ZR8A

ZR8A

Gravity and Supergravity Gravity and Supergravity

Speaker

Ergin Sezgin (Texas A & M University)

Description

I will describe the construction of a curious 4-derivative extension of 6D, N=(1,0) supergravity coupled to hypermultiplets whose scalar fields parametrize a quaternionic projective space. Surprisingly, we find that the inclusion of the Riemann-squared term is not allowed. Dimensional reduction of Bergshoeff-de Roo heterotic supergravity with Riemann-squared terms, on the other hand, suggests that such an inclusion should be possible if the scalars parametrize a Grassmannian coset. To compare the two cases, I will describe the dimensional reduction of BdR supergravity on 4-torus followed by a consistent truncation to (1,0) supersymmetry. In this case, we can see that the Riemann-squared term and 4-derivative scalar field couplings co-exist, but we also encounter an obstacle due to presence of certain terms in the fermionic sector that break the expected SO(4)xSO(4) composite local symmetry down to its diagonal SO(4) subgroup.

Primary author

Ergin Sezgin (Texas A & M University)

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