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.

arXiv comment34 pages; references added

References in corpus (71)

• Noncompact Symmetries in String Theory
• Exceptional Form of D=11 Supergravity
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Higher-order corrections to mass-charge relation of extremal black holes
• Exceptional Field Theory III: E${}_{8(8)}$
• Consistent Kaluza-Klein Sphere Reductions
• A Construction of Killing Spinors on S^n
• Exceptional Field Theory II: E${}_{7(7)}$
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Gauged Six-dimensional Supergravity from Massive Type IIA
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
• Stainless super p-branes
• Universal Kaluza-Klein reductions of type IIB to N=4 supergravity in five dimensions
• 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
• Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
• Effective action of (massive) IIA on manifolds with SU(3) structure
• A supersymmetric consistent truncation for conifold solutions
• Exploiting N=2 in consistent coset reductions of type IIA
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Kaluza-Klein Spectrometry for Supergravity
• Four-dimensional N=4 SO(4) Gauged Supergravity from D=11
• 5D Black Holes and Strings with Higher Derivatives
• D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
• Exact Embedding of N=1, D=7 Gauged Supergravity in D=11
• Consistent truncation of d = 11 supergravity on AdS_4 x S^7
• Half-maximal supersymmetry from exceptional field theory
• Consistent Group and Coset Reductions of the Bosonic String
• Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds
• An alternative IIB embedding of F(4) gauged supergravity
• Exceptional generalised geometry for massive IIA and consistent reductions
• Systematics of consistent truncations from generalised geometry
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
• A consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure
• Supersymmetric Consistent Truncations of IIB on T(1,1)
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• alpha'-Corrections to Heterotic Superstring Effective Action Revisited
• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• Duality Invariance and Higher Derivatives
• Higher Order Correction to the GHS String Black Hole
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Beyond the near-horizon limit: Stringy corrections to Heterotic Black Holes
• Fermions and D=11 Supergravity On Squashed Sasaki-Einstein Manifolds
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Consistent $S^3$ reductions of six-dimensional supergravity
• Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• Consistent KK truncations for M5-branes wrapped on Riemann surfaces
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Supersymmetric massive truncations of IIb supergravity on Sasaki-Einstein manifolds
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT
• Consistent reductions from D=11 beyond Sasaki-Einstein
• Supersymmetry of consistent massive truncations of IIB supergravity
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Type II and heterotic one loop string effective actions in four dimensions
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• Super-Chern-Simons spectra from Exceptional Field Theory
• Non-extremal, ${\alpha }^{\prime }$-corrected black holes in 5-dimensional Heterotic Superstring Theory
• Five-dimensional black holes in heterotic string theory
• Dimensional reduction of higher derivative heterotic supergravity
• One loop superstring effective actions and N=8 supergravity
• Consistent truncations from the geometry of sphere bundles

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