Dimensional reduction of higher derivative heterotic supergravity

Abstract

Higher derivative couplings of hypermultiplets to $6D,N=(1,0)$ supergravity are obtained from dimensional reduction of 10D heterotic supergravity that includes order ${\alpha }^{\prime }$ higher derivative corrections. Reduction on $T^4$ is followed by a consistent truncation. In the resulting action the hyperscalar fields parametrize the coset $SO(4,4)/(SO(4)\times SO(4))$. While the $SO(4,4)$ symmetry is ensured by Sen's construction based on string field theory, its emergence at the field theory level is a nontrivial phenomenon. A number of field redefinitions in the hypermultiplet sector are required to remove several terms that break the $SO(4)\times SO(4)$ down to its $SO(4)$ diagonal subgroup in the action and the supersymmetry transformation rules. Working with the Lorentz Chern-Simons term modified 3-form field strength, where the spin connection has the 3-form field strength as torsion, is shown to simplify considerably the dimensional reduction.

arXiv comment40 pages. References added, appendices improved and typos corrected

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Cited by in corpus (6)

• Higher Derivative Supergravities in Diverse Dimensions
• Consistent truncations in higher derivative supergravity
• Dualization of Higher Derivative Heterotic Supergravities in $6D$ and $10D$
• Higher derivative couplings of hypermultiplets
• Duality invariant string beta functions at two loops
• The fate of boundary terms in dimensional reductions