Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators

Abstract

It was recently shown that IIB supergravity on AdS${}_5\times$S${}^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two complementary approaches to correlators of hypermultiplets in AdS${}_2\times$S${}^2$. In particular, we show that 4-point correlators of $1/2$-BPS operators in the 1d boundary can be computed using 4d conformal symmetry and a 4d effective action in the bulk. The 4d conformal symmetry is realised by acting with Casimirs of $SU(1,1|2)$, and is generically broken by higher derivative corrections. We point out similar structure underlying ${\alpha }^{\prime }$ corrections to IIB supergravity in AdS${}_5\times$S${}^5$. In particular, while the ${\alpha }^{\prime 3}$ corrections can be written in terms of a sixth order Casimir acting on a 10d conformal block, similar structure does not appear in higher-order corrections. We note however that a specific combination of higher derivative corrections can give rise to Witten diagrams with higher dimensional symmetry at the integrand level, with breaking then arising from the measure.

arXiv commentv2. published in JHEP

References in corpus (39)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Holography from Conformal Field Theory
• Conformal Four Point Functions and the Operator Product Expansion
• Anti-de Sitter Fragmentation
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• How to Succeed at Holographic Correlators Without Really Trying
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• Extremal limits and black hole entropy
• Unmixing Supergravity
• A tauberian theorem for the conformal bootstrap
• Gluon Scattering in AdS from CFT
• Genus-One String Amplitudes from Conformal Field Theory
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• The double-trace spectrum of N=4 SYM at strong coupling
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• Four-point functions in N=4 SYM
• A Crossing-Symmetric OPE Inversion Formula
• The CFT${}_6$ origin of all tree-level 4-point correlators in AdS${}_3\times S^3$
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• Superconformal partial waves in Grassmannian field theories
• Mass Spectrum of D=11 Supergravity on AdS2 x S2 x T7
• Supergravity spectrum on AdS_2 x S^2
• Superconformal Invariants or How to Relate Four-point AdS Amplitudes
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• Superconformal blocks in diverse dimensions and $BC$ symmetric functions
• A formula for the hypergeometric function of type $B{C}_n$
• On 1D, N = 4 Supersymmetric SYK-Type Models (II)

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• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
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• Holographic S-fold theories at one loop
• All Next-to-Next-to-Extremal One-Loop Correlators of AdS Supergluons and Supergravitons
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Mellin amplitudes for $Ad{S}_3\times S^3$