Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence

Abstract

We compute the conformal anomaly of free d=6 superconformal (2,0) tensor multiplet on generic curved background. Up to a trivial covariant total-derivative term, it is given by the sum of the type A part proportional to the 6-d Euler density, and the type B part containing three independent Weyl invariants. Multiplied by factor 4N^3, the type B part of the anomaly reproduces exactly the corresponding part of the conformal anomaly of large N multiple M5-brane (2,0) theory as predicted (hep-th/9806087) by the AdS/CFT correspondence. The coefficients of the type A anomaly differ by the factor 4/7 x 4 N^3, so that the free tensor multiplet anomaly does not vanish on a Ricci-flat background. The coefficient 4N^3 is the same as found (hep-th/9703040) in the comparison of the tensor multiplet theory and the d=11 supergravity results for the absorption cross-sections of gravitons by M5 branes, and in the comparison (hep-th/9911135) of 2- and 3-point stress tensor correlators of the free tensor multiplet with the AdS_7 supergravity predictions. The reason for this coincidence is that the three Weyl-invariant terms in the anomaly are related to the $h^2$ and $h^3$ terms in the near flat space expansion of the corresponding non-local effective action, and thus to the 2-point and 3-point stress tensor correlators in flat background. At the same time, the type A anomaly is related to the $h^4$ term in the non-local part of the effective action, i.e. to a certain structure in the 4-point correlation function of stress tensors.

20 pages, latex. v2: minor corrections, references added

References in corpus (7)

• Volume and Area Renormalizations for Conformally Compact Einstein Metrics
• Weyl anomaly for Wilson surfaces
• Closed Form Effective Conformal Anomaly Actions in D$\ge$4
• Deformations of Chiral Two-Forms in Six Dimensions
• Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d=3 and d=6
• Holomorphic factorization of correlation functions in (4k+2)-dimensional (2k)-form gauge theory
• Local Symmetries in the AdS_7/CFT_6 Correspondence

Cited by in corpus (118)

• Holographic c-theorems in arbitrary dimensions
• Massless Higher Spins and Holography
• Entanglement entropy of black holes
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Cosmological and black hole brane-world Universes in higher derivative gravity
• W Symmetry in six dimensions
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• The Hydrodynamics of M-Theory
• Holographic Lovelock Gravities and Black Holes
• On renormalization group flows and the a-theorem in 6d
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Einstein-Euler-Heisenberg Theory and charged black holes
• Ghost-free higher-derivative theory
• 6d holographic anomaly match as a continuum limit
• Entanglement entropy across a deformed sphere
• Renormalizable supersymmetric gauge theory in six dimensions
• Universal RG Flows Across Dimensions and Holography
• Universality in the geometric dependence of Renyi entropy
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• Higher Dimensional Kerr-AdS Black Holes and the AdS/CFT Correspondence
• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• Observations on entanglement entropy in massive QFT's
• Exact and Numerical Results on Entanglement Entropy in (5+1)-Dimensional CFT
• Black string solutions with negative cosmological constant
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• A Conformal Collider for Holographic CFTs
• Stress Tensors from Trace Anomalies in Conformal Field Theories
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Note on Entanglement Temperature for Low Thermal Excited States in Higher Derivative Gravity
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Counterterms, Kounterterms, and the variational problem in AdS gravity
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Weyl anomaly of conformal higher spins on six-sphere
• The Conformal Anomaly of M5-Branes
• Structures on the Conformal Manifold in Six Dimensional Theories
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Universal Asymptotics for High Energy CFT Data
• The component structure of conformal supergravity invariants in six dimensions
• Polyakov formulas for GJMS operators from AdS/CFT
• Conformal anomaly c-coefficients of superconformal 6d theories
• Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
• On the trace anomaly of a Weyl fermion
• BRST treatment of zero modes for the worldline formalism in curved space
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}
• Universal entanglement for higher dimensional cones
• Holographic stress tensor at finite coupling
• Consistency conditions and trace anomalies in six dimensions
• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Holographic Description of Gravitational Anomalies
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• Toda Theory From Six Dimensions
• $C_T$ for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories
• Scale Vs. Conformal Invariance in the AdS/CFT Correspondence
• Equivariant localization for AdS/CFT
• Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory
• AdS/CFT Casimir Energy for Rotating Black Holes
• 6D trace anomalies from quantum mechanical path integrals
• Partition function of free conformal fields in 3-plet representation
• On the trace anomaly of a Weyl fermion in a gauge background
• On the low energy limit of one loop photon-graviton amplitudes
• $C_T$ for conformal higher spin fields from partition function on conically deformed sphere
• A note on the resolution of the entropy discrepancy
• Two-loop renormalization of multiflavor ${\varphi }^3$ theory in six dimensions and the trace anomaly
• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• A No-Go Theorem for M5-brane Theory
• Non-Abelian Chiral 2-Form and M5-Branes
• From Loop Space Mechanics to Nonabelian Strings
• Renyi Entropy of Free (2,0) Tensor Multiplet and its Supersymmetric Counterpart
• Weyl Covariance and the Energy Momentum Tensors of Higher-Derivative Free Conformal Field Theories
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Aspects of the D=6, (2,0) Tensor Multiplet
• Supersymmetry Constraints in Holographic Gravities
• Entropy vs Gravitational Action: Do Total Derivatives Matter?
• Weyl Anomaly Induced Stress Tensors in General Manifolds
• Holographic Trace Anomaly and Cocycle of Weyl Group
• Large Gauge Transformations in M-theory
• Simple recipe for holographic Weyl anomaly
• Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
• Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian
• Conformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci gauging
• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$
• Holographic Trace Anomaly and Local Renormalization Group
• Order $1/{\mathbf{N}}^3$ corrections to the conformal anomaly of the (2,0) theory in six dimensions
• Boundary Conformal Anomalies on Hyperbolic Spaces and Euclidean Balls
• A class of six-dimensional conformal field theories
• Conformal anomalies in 6d 4-derivative theories: a heat-kernel analysis
• Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all
• A note on R-currents and trace anomalies in the (2,0) tensor multiplet in d=6 and AdS/CFT correspondence
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities
• Simplified Method for Trace Anomaly Calculations in d=6 and d<6
• Renormalization Group Flows, the $a$-Theorem and Conformal Bootstrap
• One loop partition function of six dimensional conformal gravity using heat kernel on AdS
• Abelian M5-brane on $S^6$
• AdS Chern-Simons Gravity induces Conformal Gravity
• Scale Invariance and the AdS/CFT Correspondence
• The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension
• Constructing the independent basis of total derivative curvature-dependent terms in $6D$
• Nonabelian M5-brane on $S_q^6$
• On the supermultiplet of anomalous currents in d=6
• Spinning membranes on $Ad{S}_p\times S^q$
• GJMS-like operators on symmetric 2-tensors and their gravitational duals
• The Finiteness Requirement for Six-Dimensional Euclidean Einstein Gravity
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• A calculation of the Weyl anomaly for 6D Conformal Higher Spins
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Is the EMI model a QFT? An inquiry on the space of allowed entropy functions
• Casimir energy on the sphere and 6D CFT trace anomaly
• Abelian M5-brane on $S_q^6$
• Hypermatrix factors for string and membrane junctions
• The Conformal Anomaly Action to Fourth Order (4T) in $d=4$ in Momentum Space
• Anomaly-induced vacuum effective action with torsion: covariant solution and ambiguities
• One-loop divergences in 7D Einstein and 6D Conformal Gravities
• Holography, Supergravity, and the Weak Gravity Conjecture