Charting the Conformal Manifold of Holographic CFT${}_2$'s

Abstract

We construct new continuous families of ${\mathrm{AdS}}_3\times S^3\times {\mathrm{T}}^4$ and ${\mathrm{AdS}}_3\times S^3\times S^3\times S^1$ 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 $\mathrm{SO}(8,8)$ ExFT can be embedded into ${\mathrm{E}}_{8(8)}$ ExFT.

arXiv comment65 pages, 6 tables and 3 figures. Minor typos corrected and expanded discussion in section 6. Version published in SciPost

References in corpus (69)

• AdS/CFT Correspondence and Symmetry Breaking
• The Swampland: Introduction and Review
• D-brane Approach to Black Hole Quantum Mechanics
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Microscopic Formulation of Black Holes in String Theory
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• The Worldsheet Dual of the Symmetric Product CFT
• Nonextremal Black Hole Microstates and U-duality
• Generalized Geometry and M theory
• Exceptional Form of D=11 Supergravity
• Spinors and the AdS/CFT correspondence
• Maximal gauged supergravity in three dimensions
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• Exceptional Field Theory III: E${}_{8(8)}$
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• Strong-Weak Coupling Duality in Three Dimensional String Theory
• Gauged N=4 supergravities
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Gauged locally supersymmetric D=3 nonlinear sigma models
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Higher-dimensional Origin of D=3 Coset Symmetries
• BPS spectrum on AdS${}_3\times$S${}^3\times$S${}^3\times$S${}^1$
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Kaluza-Klein Spectrometry for Supergravity
• N=8 matter coupled AdS_3 supergravities
• Rarita-Schwinger Field in the AdS/CFT Correspondence
• Current-Current Deformations of Conformal Field Theories, and WZW Models
• Chern-Simons vs. Yang-Mills gaugings in three dimensions
• Systematics of consistent truncations from generalised geometry
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• Marginal Deformations of Field Theories with AdS_4 Duals
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• On AdS${}_7$ stability
• Marginal Deformations with U(1)^3 Global Symmetry
• On the Yangian Y(e_8) quantum symmetry of maximal supergravity in two dimensions
• On non-supersymmetric conformal manifolds: field theory and holography
• Correlators of currents corresponding to the massive $p$-form fields in AdS/CFT correspondence
• E${}_{8(8)}$ Exceptional Field Theory: Geometry, Fermions and Supersymmetry
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Nothing really matters
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• O(d+1,d+1) enhanced double field theory
• Global Properties of the Conformal Manifold for S-Fold Backgrounds
• The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs
• Brane-Jet Instabilities
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3
• A Note on E11 and Three-dimensional Gauged Supergravity
• Marginal deformations of 3d $\mathcal{N}=2$ CFTs from AdS${}_4$ backgrounds in generalised geometry
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• On the Stability of String Theory Vacua
• Super-Chern-Simons spectra from Exceptional Field Theory
• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• On generalised D1-D5 near horizons and their spectra
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• Tri-vector deformations on compact isometries
• Deformations of WZW models
• Searching for Coleman-de Luccia bubbles in AdS compactifications
• Explicitly Broken Supersymmetry with Exactly Massless Moduli
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua