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Charting the Conformal Manifold of Holographic CFT$_2$'s
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abstract
We construct new continuous families of ${\rm AdS}_3\times S^3\times {\rm T}^4$ and ${\rm AdS}_3\times S^3\times S^3\times S^1$ solutions in heterotic and type II supergravities. These families are found in three-dimensional consistent truncations and controlled by 17 parameters, which include TsT $\beta$ deformations and encompass several supersymmetric sub-families. The different uplifts are constructed in a unified fashion by means of Exceptional Field Theory (ExFT). This allows the computation of the Kaluza-Klein spectra around the deformations, to test the stability of the solutions, and to interpret them holographically and as worldsheet models. To achieve this, we describe how the half-maximal ${\rm SO}(8,8)$ ExFT can be embedded into ${\rm E}_{8(8)}$ ExFT.
Forward citations
Cited by 2 Pith papers
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Interpolating families of integrable AdS3 backgrounds
New TsT-based integrable deformations interpolate between AdS3×S3×S3×S1 and AdS3×S3×S2×T2 or AdS3×S2×S2×T3 while preserving half the supersymmetry.
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Kaluza-Klein Perturbation Theory from Exceptional Field Theory
E6(6) ExFT yields gauge-invariant first-order KK fluctuation equations and a homotopy-transfer Higgs mechanism, applied partly to Kerr-Newman AdS5 near-horizon stability.
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