Higher derivative couplings of hypermultiplets

Abstract

We construct the four-derivative supersymmetric extension of $(1,0),6D$ supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize the quaternionic projective space $Hp(n)=Sp(n,1)/Sp(n)\times Sp(1{)}_R$. The hyperscalar kinetic term is not deformed, and the quaternionic Kähler structure and symmetries of $Hp(n)$ are preserved. The result is a three parameter Lagrangian supersymmetric up to first order in these parameters. Considering the case of $Hp(1)$ we compare our result with that obtained from the compactification of $10D$ heterotic supergravity on four-torus, consistently truncated to $N=(1,0)$, in which the hyperscalars parametrize $SO(4,1)/SO(4)$. We find that depending on how $Sp(1)\subset Sp(1,1)$ is embedded in $SO(4)$, the results agree for a specific value of the parameter that governs the higher derivative hypermultiplet couplings.

29 pages

References in corpus (2)

• Higher Derivative Extension of 6D Chiral Gauged Supergravity
• Dualization of Higher Derivative Heterotic Supergravities in $6D$ and $10D$

Cited by in corpus (2)

• Higher Derivative Supergravities in Diverse Dimensions
• Invariant Differential Operators for Non-Compact Lie Groups: the $Sp(n,1)$ Case