Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$

Abstract

We study compactifications on ${\mathrm{AdS}}_3\times S^3$ and deformations thereof. We exploit the triality symmetry of the underlying duality group $\mathrm{SO}(4,4)$ of three-dimensional supergravity in order to construct and relate new consistent truncations. For non-chiral $D=6$, ${\mathcal{N}}_{6d}=(1,1)$ supergravity, we find two different consistent truncations to three-dimensional supergravity, retaining different subsets of Kaluza-Klein modes, thereby offering access to different subsectors of the full nonlinear dynamics. As an application, we construct a two-parameter family of ${\mathrm{AdS}}_3\times M^3$ backgrounds on squashed spheres preserving $\mathrm{U}(1{)}^2$ isometries. For generic value of the parameters, these solutions break all supersymmetries, yet they remain perturbatively stable within a non-vanishing region in parameter space. They also contain a one-parameter family of $\mathcal{N}=(0,4)$ supersymmetric ${\mathrm{AdS}}_3\times M^3$ backgrounds on squashed spheres with $\mathrm{U}(2)$ isometries. Using techniques from exceptional field theory, we determine the full Kaluza-Klein spectrum around these backgrounds.

44 pages, 6 figures, v2: accepted in JHEP, matches accepted version

References in corpus (15)

• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged N=4 supergravities
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• Spin-2 spectrum of defect theories
• Half-maximal supersymmetry from exceptional field theory
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity
• O(d+1,d+1) enhanced double field theory
• A supersymmetric reduction on the three-sphere
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• Supersymmetric $Ad{S}_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• BIonic membranes and AdS instabilities

Cited by in corpus (6)

• Non-Supersymmetric AdS from String Theory
• Janus and Hades in M-theory
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• O(16)$\times$O(16) heterotic theory on $Ad{S}_3\times S^3\times T^4$
• Warped compactifications and holographic duality
• $\mathcal{N}=1$ S-fold spectroscopy