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Black holes in N=8 supergravity from SO(4,4) hidden symmetries
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Black holes in N=8 supergravity from SO(4,4) hidden symmetries
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We detail the construction of the most general asymptotically flat, stationary, rotating, non-extremal, dyonic black hole of the four-dimensional N=2 supergravity coupled to 3 vector multiplets that describes the STU model. It generates through U-dualities the most general asymptotically flat, stationary black hole of N=8 supergravity. We develop the solution generating technique based on SO(4,4)/SL(2,R)^4 coset model symmetries, with an emphasis on the 4-fold permutation symmetry of the gauge fields. We indicate how previously known non-extremal and extremal solutions of the STU model are recovered as limiting cases. Several properties of the general black hole solution are discussed, including its thermodynamics, the quadratic mass formula, the Bogomolny-Prasad-Sommerfield limit, the slow and fast extremal rotating limits, its properties in regards to the Kerr/conformal field theory correspondence, its Killing tensors and the separability of geodesic motion and probe scalars.
Forward citations
Cited by 7 Pith papers
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Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models
Proposes a CFT analogue of Hodge loci in Calabi-Yau sigma models via non-trivial TDL categories of topological defects, with CM number field embeddings at special points for elliptic curves and K3 surfaces.
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Generating Rotation in a Snap
An algebraic technique generates rotating black holes and multi-source solutions from static ones by transforming to AdS×S asymptotics, applying a rotating frame shift, and returning to flat asymptotics.
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The Effects of Near-AdS$_2$ Backreaction on Matter Fields
Backreaction of near-AdS2 geometry gives a temperature correction to scalar correlators that for massive fields needs metric backreaction, matches BTZ, and corrects the standard prescription.
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Index saddle for the D1-D5-P black string and its decoupling limit
A six-dimensional gravitational index saddle for the D1-D5-P black string is built and decoupled to a BTZ×S^3 saddle for the D1-D5 CFT index.
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Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models
Hodge loci in Calabi-Yau sigma models are identified with non-trivial categories of topological defects preserving N=(2,2) SCA and invertible on spectral-flow generators, with CM structure at special points.
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Generating Rotation in a Snap
An algebraic construction generates rotating solutions from static Weyl-class metrics in 5D minimal supergravity by using AdS×S asymptotics and frame shifts, recovering Kerr/Myers-Perry and producing a linear ansatz f...
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Constructs index saddle for D1-D5-P black string via BPS limit and uplift, with decoupling to BTZ x S^3 computing CFT index.
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