Results 51 to 60 of about 103,132 (288)

Irregular Vertex Operators for Irregular Conformal Blocks [PDF]

open access: yes, 2016
We construct the free field representation of irregular vertex operators of arbitrary rank which generates simultaneous eigenstates of positive modes of Virasoro and W symmetry generators.
D. Polyakov, C. Rim
semanticscholar   +1 more source

A New Property of the Electromagnetic/Yang-Mills-Conformal Gravity System in Spherical Symmetry

open access: yes, 2019
We find a new property in $W^2$-conformal gravity in spherical symmetry. We demonstrate that the charge of the electromagnetic field varies with respect to the partial scaling symmetry (conformal transformations in subspaces of a spacetime) in the ...
Zhang, Hongsheng
core   +1 more source

Perturbative four-point functions from the analytic conformal bootstrap

open access: yesJournal of High Energy Physics, 2018
We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar ...
Johan Henriksson, Tomasz Lukowski
doaj   +1 more source

Logarithmic extensions of minimal models: characters and modular transformations [PDF]

open access: yes, 2006
We study logarithmic conformal field models that extend the (p,q) Virasoro minimal models. For coprime positive integers $p$ and $q$, the model is defined as the kernel of the two minimal-model screening operators.
A.M. Gainutdinov   +52 more
core   +5 more sources

Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT

open access: yesJournal of High Energy Physics, 2017
In this paper we consider ϕ 4 theory in 4 − ϵ dimensions at the Wilson-Fisher fixed point where the theory becomes conformal. We extend the method in [1] for calculating the leading order term in the anomalous dimensions of some operators with spin. This
Konstantinos Roumpedakis
doaj   +1 more source

The Grassmannian VOA

open access: yesJournal of High Energy Physics, 2020
We study the 3-parametric family of vertex operator algebras based on the Grassmannian coset CFT u $$ \mathfrak{u} $$ (M + N ) k /( u $$ \mathfrak{u} $$ (M ) k × u $$ \mathfrak{u} $$ (N ) k ).
Lorenz Eberhardt, Tomáš Procházka
doaj   +1 more source

Dispersion relations and exact bounds on CFT correlators

open access: yesJournal of High Energy Physics, 2021
We derive new crossing-symmetric dispersion formulae for CFT correlators restricted to the line. The formulae are equivalent to the sum rules implied by what we call master functionals, which are analytic extremal functionals which act on the crossing ...
Miguel F. Paulos
doaj   +1 more source

Non-linear realizations of superconformal and W-algebras as embeddings of strings [PDF]

open access: yes, 1997
We propose a simple method for constructing representations of (super) conformal and non-linear W-type algebras in terms of their subalgebras and corresponding Nambu-Goldstone fields. We apply it to N = 2 and N = 1 superconformal algebras and describe in
S. Bellucci   +4 more
semanticscholar   +1 more source

Cut-touching linear functionals in the conformal bootstrap

open access: yesJournal of High Energy Physics, 2017
The modern conformal bootstrap program often employs the method of linear functionals to derive the numerical or analytical bounds on the CFT data. These functionals must have a crucial “swapping” property, allowing to swap infinite summation with the ...
Jiaxin Qiao, Slava Rychkov
doaj   +1 more source

On the Explicit Asymptotic $\mathcal{W}_5$ Symmetry of 3D Chern-Simons Higher Spin $AdS_3$ Gravity

open access: yes, 2018
In this paper, we explicitly construct an asymptotic $\mathcal{W}_5$ symmetry algebra of the three-dimensional anti-de Sitter $(AdS_3)$ higher spin gravity.
Filiz, Aytül, Özer, H. T.
core   +1 more source

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