Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution

Abstract

Four-derivative heterotic supergravity (without gauge fields) reduced on a $p$-dimensional torus leads to half-maximal supergravity coupled to $p$ vector multiplets, and it is known that removing the vector multiplets is a consistent truncation of the theory. We find a new consistent truncation of four-derivative heterotic supergravity on a torus that keeps the vector multiplets and precisely reproduces the bosonic action of heterotic supergravity (with heterotic gauge fields). We show that both truncations have an $O(d+p,d)$ symmetry when reduced on a $d$-dimensional torus and demonstrate how this embeds in the $O(d+p,d+p)$ symmetry that one gets from reducing on a $(d+p)$-dimensional torus without truncation. We then use our new truncation to obtain four-derivative corrections to the Kerr-Sen solution and compute thermodynamic quantities and multipole moments. Finally, we compare the Kerr-Sen solutions of the actions corresponding to the two different choices of truncation with the Kerr solution, the Kerr-Newman solution, and each other, and show that they have distinct four-derivative multipole structures.

53 pages, 2 figures

References in corpus (48)

• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
• Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• Testing the black hole "no-hair" hypothesis
• Slowly Rotating Black Holes in Dynamical Chern-Simons Gravity: Deformation Quadratic in the Spin
• Doubled α'-Geometry
• Double Field Theory Formulation of Heterotic Strings
• Rotating black hole in extended Chern-Simons modified gravity
• Leading higher-derivative corrections to Kerr geometry
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Generalised geometry for string corrections
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Black Holes Lessons from Multipole Ratios
• Shadows of charged rotating black holes: Kerr-Newman versus Kerr-Sen
• Recurrent Acceleration in Dilaton-Axion Cosmology
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• Duality Invariance and Higher Derivatives
• Spin-induced deformations and tests of binary black hole nature using third-generation detectors
• T-duality Constraints on Higher Derivatives Revisited
• Four-derivative couplings via T-duality constraint
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Duality completion of higher derivative corrections
• Observational signature of a near-extremal Kerr-Sen black hole in the heterotic string theory
• String Dualities at Order ${\alpha }^{\prime 3}$
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in ${\alpha }^{\prime }$
• O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'
• Black Hole Multipoles in Higher-Derivative Gravity
• Higher Derivative Supergravities in Diverse Dimensions
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Deformation of extremal black holes from stringy interactions
• Thin accretion disk and shadow of Kerr-Sen black hole in Einstein-Maxwell-dilaton-axion gravity
• Uniqueness Theorem for Stationary Axisymmetric Black Holes in Einstein-Maxwell-axion-dilaton Gravity
• Axion-Dilaton Cosmology and Dark Energy
• Testing space-time geometries and theories of gravity at the Galactic Center with pulsar's time delay
• STU Black Holes and SgrA*
• Consistent truncations in higher derivative supergravity
• The extremal Kerr entropy in higher-derivative gravities
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections

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