REVIEW 57 cited by
The Holographic Weyl anomaly
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general covariance. Up to a constant, the anomaly only depends on the dimension d of the manifold on which the conformal field theory is defined. We present concrete expressions for the anomaly in the physically relevant cases d = 2, 4 and 6. In d = 2 we find for the central charge c = 3 l/ 2 G_N in agreement with considerations based on the asymptotic symmetry algebra of adS_3. In d = 4 the anomaly agrees precisely with that of the corresponding N = 4 superconformal SU(N) gauge theory. The result in d = 6 provides new information for the (0, 2) theory, since its Weyl anomaly has not been computed previously. The anomaly in this case grows as N^3, where N is the number of coincident M5 branes, and it vanishes for a Ricci-flat background.
Forward citations
Cited by 57 Pith papers
-
The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
-
Analytic thermal bootstrap in momentum space: From thermal OPE to QNMs
KMS-symmetric thermal Polyakov blocks Fourier-transform into asymptotic retarded correlators, yielding inversion formulae that express thermal OPE coefficients in terms of quasinormal-mode frequencies under meromorphicity.
-
Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion
In AdS3, dS3, and AdS4 hyperbolic examples, the Kontsevich-Segal-Witten criterion uniquely selects a three-piece complex contour for timelike extremal surfaces, while timelike strips in AdS4 violate the criterion near...
-
Conformal Renormalisation of 8D Einstein Gravity
Holographic renormalisation of 8D Einstein-AdS gravity is recovered as the Einstein sector of the unique conformal gravity admitting constant-negative-curvature Einstein solutions, with matching counterterms.
-
Quantum anomalies from three-point on-shell bootstrap
On-shell three-point bootstrap recovers Weyl, chiral, diffeomorphism and Lorentz anomalies up to constant prefactors and reproduces gauge-anomaly cancellation while excluding Pontryagin densities from the Weyl anomaly.
-
Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy
Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and roo...
-
Covariant unification of holographic c-functions
A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-g...
-
Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model
The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².
-
Non-Abelian and Type-A Conformal Anomalies from Euler Descent
Non-Abelian conformal anomalies are classified via Stora-Zumino descent from the Euler class, placing them on equal footing with perturbative anomalies and enabling WZW terms for anomaly matching.
-
The CFT Distance Conjecture and Tensionless String Limits in $\mathcal N=2$ Quiver Gauge Theories
In N=2 SU quiver theories the large-N Hagedorn temperature depends only on quiver length for linear cases and equals that of N=4 SYM for holographic quivers, with a universal lower bound of 1/sqrt(2) on the exponentia...
-
Supersymmetric $\mathbb{WCP}^n$, AdS near horizons and orbifolds
Weighted projective spaces WCP² and WCP³ can be made supersymmetric for tuned integer weights, yielding new AdS₅×WCP²×S¹, AdS₄×WCP³, and AdS₃×WT(1,1) supergravity solutions.
-
Universal holographic Wilson loops in 3d SCFTs
A universal one-loop holographic computation predicts the subleading large-N behavior of 1/2-BPS Wilson loops in two families of 3d N=2 Chern-Simons-matter theories, including an Airy-function completion for M-theory duals.
-
Symmetry TFTs for Continuous Spacetime Symmetries
Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.
-
One Ring to Rule Them All: A Unified Topological Framework for 4D Superconformal Anomalies
All 4D N=1 superconformal anomalies are shown to fit a single BRST cohomology classification via a constraint ideal, with the a and c anomalies as the two cohomology classes.
-
Norm of the no-boundary state
At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.
-
Ill-posedness of the Cauchy problem for linearized gravity in a cavity with conformal boundary conditions
Linearized gravity in a cavity with conformal boundary conditions is ill-posed: a sequence of smooth perturbations with vanishing initial data grows without bound at every positive time.
-
Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism
M5 bordism classifies the invertible phases of 6d (2,0) anomaly theories, and the Hopf-Wess-Zumino term is the phase that transgresses to the second Pontryagin class.
-
Little String Theories on Curved Manifolds
Little string theory cannot be put on negatively curved spacetimes, only on flat or positively curved ones, and on spheres its Hagedorn spectrum receives a universal classical correction.
-
From chiral to conformal anomalies: a double copy perspective for CFT correlators
Squaring the chiral-anomaly three-current correlator, in its five-dimensional flat-space limit, reproduces the conformal-anomaly contribution to the stress-tensor three-point function.
-
Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian limit of extended AdS first law is reinterpreted as double-scaled large-N low-temperature holographic ensemble with finite products, new boundary stress tensor, and celestial correlator representations.
-
GR from RG, $2d$ Example: JT-Gravity Induced from Renormalization Group Flow
Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.
-
Wilson loop in AdS$_3 \times S^3 \times T^4$ from quantum M2 brane
The 1-loop M2-brane partition function for the Wilson loop in AdS3 x S3 x T4 equals kappa over sqrt(2 pi) with no higher-genus string corrections.
-
Universal relation between $C_{T}$ and the CFT Weyl anomaly
In any even-dimensional CFT, C_T = [d/(d−1)]·[(d+1)!/(d/2−1)!]·c, where c is the coefficient of the quadratic-in-Weyl term in the trace anomaly.
-
Topological perspective on bulk boundary thermodynamic equivalence
A two-central-charge CFT dictionary reproduces the extended first law, critical point, and topological charges of the 5D charged Gauss-Bonnet AdS black hole.
-
(Iso)spin from Isospin in Top-Down Holography
Supergravity backgrounds with monopoles on S2 exhibit diagonal symmetry upon uplift, causing SU(2)-SO(3) angular momentum mixing in fluctuations analogous to the Jackiw-Rebbi-Hasenfratz-'t Hooft effect.
-
On decoding the string from interfaces in 2d conformal field theories
Stringy vibrations of an AdS3 junction between two thermal CFTs map to half-sided conformal transformations, producing perfectly reflected wavepackets, and are readable from interval entanglement entropy even at zero tension.
-
Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
-
Entanglement inequalities, black holes and the architecture of typical states
Typical states in large-N holographic CFTs exhibit UV and IR length scales set by energy and charges, producing factorization that isolates black holes via a corona of saturated entanglement wedges and extends ETH to ...
-
Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
A probe-D5 holographic calculation gives analytic defect/interface entanglement entropy for massive D3/D5 intersections and shows the entropic C-function is monotonic but not always a finite degree-of-freedom count.
-
Decoding the string in terms of holographic quantum maps
Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.
-
Quiver superconformal index and giant gravitons: asymptotics and expansions
For toric quiver theories, coefficients of the large-N superconformal index grow like exp(constant*sqrt(n)) times n^((m-5)/4) for the A-hat_m family, with polynomial growth for dP3 and Y^{p,0}.
-
Radiation in Fluid/Gravity and the Flat Limit
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
-
Backtracking AdS flux vacua
Flux backtracking produces candidate brane-probe singularities for AdS flux vacua, including a new strongly coupled massive IIA singularity conjectured to be the brane picture of DGKT.
-
Ensembles in M-theory and Holography
The M2-brane partition function should be viewed as a grand canonical object in AdS4/ABJM holography, fixing the three-form source rather than the flux number N, which resolves puzzles about Airy shifts and one-loop e...
-
Holographic confining theories on space-times with constant positive curvature
For holographic confining theories on spheres, a curvature-driven quantum phase transition occurs between a low-curvature branch with flat-space-like IR and a high-curvature regular branch; the transition is first-ord...
-
Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions
Explicit bulk derivations yield two- and three-point stress tensor correlators in AdS3/BCFT2 and scalar and stress tensor correlators for XCFT2 on RP2, with tension independence and finite-cutoff deformations.
-
Relative Quantum Gravity: Localized Gravity and the Swampland
Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
-
Classical $J\bar T$ symmetries -- three ways -- and a precision holography check
The nonlinear symmetry algebra of J bar T deformed CFTs is reproduced exactly by an asymptotic symmetry analysis of AdS3 gravity with mixed boundary conditions.
-
Field-dependent diffeomorphisms and the transformation of surface charges between gauges
The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.
-
Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
In holographic 2D CFTs, the quantum null energy condition bounds entropy production in quenches between thermal states with momentum, giving generalized Clausius inequalities and exact entanglement growth laws.
-
Generalized Fefferman-Graham gauge and boundary Weyl structures
In the generalized Fefferman-Graham gauge, three-dimensional AdS gravity produces a boundary Weyl connection, a Weyl-covariant stress tensor and trace anomaly, and requires a new corner counterterm that fixes the Eucl...
-
Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
Kounterterm renormalization is extended to even-dimensional holographic CFTs, yielding a universal entanglement entropy formula whose logarithmic coefficient reproduces the type A central charge.
-
Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
For JT gravity with conformal matter, the generalized entropy defined from the horizon dilaton plus matter entanglement is monotonic along the event horizon and along future Q-screens under the null energy condition, ...
-
Perturbiner methods in scattering amplitude
Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several ...
-
Type IIB Supergravity Action and Holography
A milder topological correction to the PST Type IIB action yields non-vanishing on-shell values matching holography for Lunin-Maldacena and AdS4 S-fold backgrounds.
-
Holography in flipped AdS/$\mathbb{Z}$: Another approach to dS holography
Quantum field theories in de Sitter space and in a signature-flipped compact-time spacetime (fAdS) are related by analytic continuation, and the proposed fAdS/fCFT holographic dictionary reproduces de Sitter horizon e...
-
Emergent gravitational action from non-local $T\bar T$-like deformations
Non-local T-bar-T-like deformations induce model-dependent gravitational terms in free theories and a C_T-dependent sector in CFTs, but the claimed universal CFT result is incomplete because a non-negligible global re...
-
Generalised Symmetries and Manifest Duality II: Curved Spacetime
Extends potential-based duality-symmetric gauge theories to curved spacetime, reproducing gravitational anomalies and providing holographic boundary terms without manual addition.
-
Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes
Derives holographic one-point functions, stress tensor and Ward identities for defects in AdS5 and AdS6 from AdS2×S2, AdS2×S3 and AdS3×S2 backgrounds in Romans supergravity.
-
Renormalized pseudoentropy in dS/CFT
Renormalized holographic pseudoentropy in dS/CFT is constructed from conformal-gravity actions in four and six dimensions, yielding finite sphere values and Mezei-like shape dependence for small deformations.
-
Properties of Stable Massive Quark Stars in Holography
Holographic model of massive deconfined quarks yields a stiff enough equation of state to allow stable 2-solar-mass hybrid stars with quark cores for certain nuclear phases.
-
The degrees of freedom of multiway junctions in three dimensional gravity
n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect ...
-
On anomaly free 4d $\mathcal{N}$=4 and 6d (2,0) conformal supergravities and UV finiteness of Poincar\'e supergravities
Anomaly cancellation for specific multiplet numbers in conformal supergravities implies divergences proportional to n_v+2 in 4d PSG and n_T-21 in 6d PSG.
-
Topological Thermodynamics of Black Holes: Revisiting the methods of winding numbers calculation
The φ-mapping and residue methods for black-hole winding numbers are proven equivalent when M''S'−S''M'≠0, and neutral and charged black strings both have W=+1.
-
Emergent Gravity in a Holographic Universe
Causal diamonds in symmetric spacetimes obey a thermodynamic first law with negative temperature, and the Einstein equations can be recast as an entropy equilibrium condition, with a long-string CFT picture for non-Ad...
-
A Crash Course in Supersymmetric Field Theory Across Dimensions
Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.
-
Aspects of strings without spacetime supersymmetry
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
Discussion (0). Continue with ORCID to comment.