Consistent truncations in higher derivative supergravity

Abstract

We consider the torus reduction of heterotic supergravity in the presence of four-derivative corrections. In particular, the reduction on $T^n$ generically leads to a half-maximal supergravity coupled to $n$ vector multiplets, and we show that it is consistent to truncate out said vector multiplets. This is done by the analysis of both the bosonic equations of motion and the Killing spinor equations. As an application of the consistent truncation, we examine the four-derivative corrected BPS black string that reduces to a black hole in minimal nine-dimensional supergravity.

34 pages; references added

References in corpus (21)

• Exceptional Field Theory III: E${}_{8(8)}$
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• A supersymmetric consistent truncation for conifold solutions
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Half-maximal supersymmetry from exceptional field theory
• Supersymmetric Consistent Truncations of IIB on T(1,1)
• alpha'-Corrections to Heterotic Superstring Effective Action Revisited
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Fermions and D=11 Supergravity On Squashed Sasaki-Einstein Manifolds
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Supersymmetric massive truncations of IIb supergravity on Sasaki-Einstein manifolds
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• Five-dimensional black holes in heterotic string theory
• One loop superstring effective actions and N=8 supergravity

Cited by in corpus (7)

• Higher-derivative Heterotic Kerr-Sen Black Holes
• Rounding out the story of higher derivative consistent truncations
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• The fate of boundary terms in dimensional reductions
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings
• Symmetries of non-maximal supergravities with higher-derivative corrections