REVIEW 24 cited by
Implications of Conformal Invariance in Field Theories for General Dimensions
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
abstract
The requirements of conformal invariance for two and three point functions for general dimension $d$ on flat space are investigated. A compact group theoretic construction of the three point function for arbitrary spin fields is presented and it is applied to various cases involving conserved vector operators and the energy momentum tensor. The restrictions arising from the associated conservation equations are investigated. It is shown that there are, for general $d$, three linearly independent conformal invariant forms for the three point function of the energy momentum tensor, although for $d=3$ there are two and for $d=2$ only one. The form of the three point function is also demonstrated to simplify considerably when all three points lie on a straight line. Using this the coefficients of the conformal invariant point functions are calculated for free scalar and fermion theories in general dimensions and for abelian vector fields when $d=4$. Ward identities relating three and two point functions are also discussed. This requires careful analysis of the singularities in the short distance expansion and the method of differential regularisation is found convenient. For $d=4$ the coefficients appearing in the energy momentum tensor three point function are related to the coefficients of the two possible terms in the trace anomaly for a conformal theory on a curved space background.
Forward citations
Cited by 24 Pith papers
-
Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
A new off-shell 6D N=(2,0) conformal superspace is constructed, and its unique Bach tensor superfield is derived up to overall scaling.
-
Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
-
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.
-
CFTs on Squashed Spheres and the Thermal Effective Action
Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
-
The tricritical Ising CFT and conformal bootstrap
First conformal-bootstrap islands for the tricritical Ising CFT in d=2.5 and d=2.75, consistent with Padé interpolations between the 3−ε expansion and the exact 2d minimal model.
-
Superspace invariants and 3-point correlators in 3d $\mathcal{N}=3,4$ SCFTs
N=3,4 3d SCFT 3-point spinning correlators are enumerated via superspace invariants; conserved ones fix to 1+1 (N=3) or 2+1 (N=4) structures, the extra even structure tracking mirror breaking.
-
Symmetric formulation for higher spin correlators, quantum effective action and anomaly
The trace anomaly of the higher-spin conformal effective action is shown to be the single source of both trace and gauge anomalies, with a 2s-derivative structure in d=4.
-
Gluon GTMD at strong coupling: fixed-spin saddle factorization and Reggeization
The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization...
-
Spinning bulk-to-boundary correlators in the massless theories with Poincar\'e symmetry
Bulk-to-boundary correlators for spin-s operators in Poincaré-invariant massless theories are linear superpositions of ISO(2)-fixed tensor structures mapped to non-crossing double-line diagrams that are tensor product...
-
Thermal conformal partial waves from flat-space and defect CFT
Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation...
-
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.
-
Universality of pseudoentropy for deformed spheres in dS/CFT
The quadratic shape-deformation correction to pseudoentropy in dS/CFT is controlled by the analytically continued stress-tensor coefficient C_T, making the sphere a local extremum across Einstein and quadratic-curvatu...
-
Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory
Derives new state-independent lower bounds on semi-local integrals of null energy flux in QFTs of two and higher dimensions using QNEC, strong subadditivity, and modular Hamiltonians.
-
Fixed points of classical gravity coupled with a Standard-Model-like theory
A free conformal matter content with n1/2=4n1 and n'_0=3n1 gives a UV fixed point where all stress tensor correlators are finite; the Standard Model with right-handed neutrinos and 36 four-derivative scalars is such a theory.
-
Time-like Janus Solution -- holographic global quantum quench --
A time-like Janus solution with imaginary deformation parameter is proposed as a holographic toy model of a global quantum quench, with partial consistency checks from CFT one-point functions and late-time entanglemen...
-
Invisible jets from composite neutrinos
Neutrino scattering into composite invisible jets would enhance the neutral-to-charged current ratio, and NuTeV plus SHiP/FPF data can probe or exclude this scenario.
-
Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins
For equal-spin currents up to spin four, conserved three-point correlators can be constructed explicitly as linear combinations of products of spin-one and spin-two Osborn-Petkou building blocks.
-
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...
-
Central charges $C_J$ and $C_T$ in QED$_d$-GNY model and scalar QED$_d$
Computes O(1/N) corrections to central charges C_J and C_T in conformal QED_d-GNY and scalar QED_d models, obtains scaling dimensions of adjoint bilinears, and finds reasonable agreement with SO(5) DQCP estimates from...
-
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.
-
The entropy of radiation for local quenches in higher dimensions
For local quenches in d>2 CFTs, the excess entanglement entropy of radiation grows as ξ^{d/2} at early and late times, obeys an all-time relative-entropy bound, and the holographic model produces a Page-like curve.
-
Correlation functions of von Neumann entropy
Two-point correlators of modular Hamiltonians obey entropy-like properties and equal the stress-tensor conformal block for spherical regions in CFT, including imaginary-time separations.
-
String theory methods for defect CFTs
A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.
-
De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
Discussion (0). Continue with ORCID to comment.