Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d=3 and d=6

Abstract

We consider free superconformal theories of n=8 scalar multiplet in d=3 and (2,0) tensor multiplet in d=6 and compute 2-point and 3-point correlators of their stress tensors. The results for the 2-point and 3-point correlators for a single d=3 and d=6 multiplet differ from the "strong-coupling" AdS_4 and AdS_7 supergravity predictions by the factors $4\sqrt2 \over 3π}N^{3/2}$ and $4N^3$ respectively. These are the same factors as found earlier in hep-th/9703040 in the comparison of the brane free field theory and the 11-d supergravity predictions for the absorption cross-sections of longitudinally polarized gravitons by multiple M2 and M5 branes. While the correspondence of the results for the cross-sections and 2-point functions was expected on the basis of unitarity, the fact that the same coefficients appear in the ratio of the free-theory and supergravity 3-point functions is non-trivial. Thus, like in the d=4 SYM case, in both d=3 and d=6 theories the ratio of the 3-point and 2-point correlators <TTT>/<TT> is exactly the same in the free field theory and in the interacting CFT as described (to leading order in large $N$) by the 11-d supergravity on AdS_{d+1} x S^{10-d}.

17 pages, latex, references added

References in corpus (5)

• Superconformal Symmetry in Three-dimensions
• Deformations of Chiral Two-Forms in Six Dimensions
• Three Point Functions of Chiral Primary Operators in d=3, N= 8 and d=6, N=(2,0) SCFT at Large N
• Local Symmetries in the AdS_7/CFT_6 Correspondence
• Interactions of chiral two-forms

Cited by in corpus (39)

• On graviton non-Gaussianities during inflation
• The $(2,0)$ superconformal bootstrap
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• Boundary Conformal Field Theory and a Boundary Central Charge
• Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
• The Hydrodynamics of M-Theory
• Universality in the geometric dependence of Renyi entropy
• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• 6D Fractional Quantum Hall Effect
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• The General 3-Graviton Vertex ($TTT$) of Conformal Field Theories in Momentum Space in $d=4$
• Conformal anomaly c-coefficients of superconformal 6d theories
• Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}
• IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
• Consistency conditions and trace anomalies in six dimensions
• $C_T$ for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories
• Thermal correlation functions in CFT and factorization
• M-theory Beyond The Supergravity Approximation
• Three and Four Point Functions of Stress Energy Tensors in D=3 for the Analysis of Cosmological Non-Gaussianities
• Partition function of free conformal fields in 3-plet representation
• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
• Renyi Entropy of Free (2,0) Tensor Multiplet and its Supersymmetric Counterpart
• Representations of superconformal algebras in the AdS_7/4/CFT_6/3 correspondence
• From the planar limit to M-theory
• The Dilaton Wess-Zumino Action in 6 Dimensions from Weyl Gauging: Local Anomalies and Trace Relations
• Conformal superfields and BPS states in AdS_4/7 geometries
• Order $1/{\mathbf{N}}^3$ corrections to the conformal anomaly of the (2,0) theory in six dimensions
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• A note on R-currents and trace anomalies in the (2,0) tensor multiplet in d=6 and AdS/CFT correspondence
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Spectral sum rules for conformal field theories in arbitrary dimensions
• Harmonic Analysis and Superconformal Gauge Theories in Three Dimensions from AdS/CFT Correspondence
• Exact Correlators of BPS Operators from the 3d Superconformal Bootstrap
• On the supermultiplet of anomalous currents in d=6