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Tutorial on scale and conformal symmetries in diverse dimensions [PDF]

open access: greenJ.Phys.A44:223001,2011, 2011
We review the relation between scale and conformal symmetries in various models and dimensions. We present a dimensional reduction from relativistic to non-relativistic conformal dynamics.
R. Jackiw, S-Y Pi
openalex   +2 more sources

Analytic bootstrap for the localized magnetic field

open access: yesJournal of High Energy Physics, 2023
We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the ϵ-expansion ...
Lorenzo Bianchi   +2 more
doaj   +1 more source

Yukawa interactions at large charge

open access: yesJournal of High Energy Physics, 2022
We extend the fixed-charge semiclassical method by computing anomalous dimensions of fixed-charge scalar operators in models with Yukawa interactions. In particular, we discuss the Nambu-Jona-Lasinio-Yukawa theory as well as an asymptotically safe gauge ...
Oleg Antipin   +2 more
doaj   +1 more source

Narain CFTs and quantum codes at higher genus

open access: yesJournal of High Energy Physics, 2023
Code CFTs are 2d conformal field theories defined by error-correcting codes. Recently, Dymarsky and Shapere generalized the construction of code CFTs to include quantum error-correcting codes. In this paper, we explore this connection at higher genus. We
Johan Henriksson   +2 more
doaj   +1 more source

Analytic bootstrap of mixed correlators in the O(n) CFT

open access: yesJournal of High Energy Physics, 2022
We use large spin perturbation theory and the Lorentzian inversion formula to compute order-ϵ corrections to mixed correlators in the O(n) Wilson-Fisher CFT in 4 − ϵ dimensions.
Francesco Bertucci   +2 more
doaj   +1 more source

A CFT interpretation of cosmological correlation functions in α−vacua in de-Sitter space

open access: yesJournal of High Energy Physics, 2023
De-Sitter(dS) space allows for a generalized class of vacua, known as α–vacua, described by some parameters. The Bunch-Davies (BD) vacuum is a point in this parameter space. The cosmological correlation function in BD vacuum in four dimensions and can be
Sachin Jain   +4 more
doaj   +1 more source

Modular differential equations with movable poles and admissible RCFT characters

open access: yesJournal of High Energy Physics, 2023
Studies of modular linear differential equations (MLDE) for the classification of rational CFT characters have been limited to the case where the coefficient functions (in monic form) have no poles, or poles at special points of moduli space.
Arpit Das   +3 more
doaj   +1 more source

Tensors and spinors in de Sitter space

open access: yesJournal of High Energy Physics, 2022
We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS d+1 in a coordinate and index free formalism using a d + 2 dimensional ambient space. We expand the embedding space formalism to cover spinor and tensor fields in
Ben Pethybridge, Vladimir Schaub
doaj   +1 more source

An integer basis for celestial amplitudes

open access: yesJournal of High Energy Physics, 2023
We present a discrete basis of solutions of the massless Klein-Gordon equation in 3 + 1 Minkowski space which transform as 𝔰𝔩(2, ℂ) Lorentz/conformal primaries and descendants, and whose elements all have integer conformal dimension.
Jordan Cotler   +2 more
doaj   +1 more source

Restricted Weyl Symmetry and Spontaneous Symmetry Breakdown of Conformal Symmetry [PDF]

open access: yes, 2021
We elucidate the relation between the restricted Weyl symmetry and spontaneous symmetry breakdown of conformal symmetry. Using a scalar-tensor gravity, we show that the restricted Weyl symmetry leads to spontaneous symmetry breakdown of a global scale symmetry when the vacuum expectation value of a scalar field takes a non-zero value.
arxiv   +1 more source

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