Výsledky vyhledávání - "group: conformal"

On evolution kernels of twist-two operators

Autor: Ji, Yao, Manashov, Alexander, Moch, Sven-Olaf

The evolution kernels that govern the scale dependence of the generalized parton distributions are invariant under transformations of the $\mathrm{SL}(2,\mathrm R)$ collinear subgroup of the conformal group. Beyond one loop the symmetry generators, d

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Schrödinger symmetry in cosmology and black hole mechanics

Autor: Ben Achour, Jibril, Livine, Etera R., Oriti, Daniele, Piani, Goffredo

International audience; We show that the (symmetry-reduced) gravitational sectors describing i) the flat FRLW cosmology filled with a massless scalar field and ii) the Schwarzschild black hole mechanics both admit the two dimensional centrally extend

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3393::f864ad414e3b32b30ee3628841d2ef51
https://hal.science/hal-03758517

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Instability of complex CFTs with operators in the principal series

Autor: Dario Benedetti

Publikováno v: Journal of High Energy Physics
JHEP
JHEP, 2021, 05, pp.004. ⟨10.1007/JHEP05(2021)004⟩
Journal of High Energy Physics, Vol 2021, Iss 5, Pp 1-41 (2021)

We prove the instability of $d$-dimensional conformal field theories (CFTs) having in the operator-product expansion of two fundamental fields a primary operator of scaling dimension $h=d/2+i r$, with non-vanishing $ r\in\mathbb{R}$. From an AdS/CFT

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Harmonic Analysis in d-Dimensional Superconformal Field Theory

Autor: Buric, Ilija

Publikováno v: Symmetry, integrability and geometry: methods and applications 17, 38 (2021). doi:10.3842/SIGMA.2021.007

Symmetry, integrability and geometry: methods and applications 17, 38 (2021). doi:10.3842/SIGMA.2021.007
Superconformal blocks and crossing symmetry equations are among central ingredients in any superconformal field theory. We review the approa

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https://doi.org/10.3842/sigma.2021.007

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Conformal Group Theory of Tensor Structures

Autor: Mikhail Isachenkov, Volker Schomerus, Ilija Buric

Publikováno v: Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-39 (2020)
Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2020, 10, pp.004. ⟨10.1007/JHEP10(2020)004⟩
Journal of high energy physics 2020(10), 1-38 (2020). doi:10.1007/JHEP10(2020)004

Journal of high energy physics 2020(10), 1-38 (2020). doi:10.1007/JHEP10(2020)004
The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor s

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https://hal.archives-ouvertes.fr/hal-02350109

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The cosmological constant from conformal transformations: Möbius invariance and Schwarzian action

Autor: Jibril Ben Achour, Etera R. Livine

Publikováno v: Classical and Quantum Gravity
Classical and Quantum Gravity, IOP Publishing, 2020, 37 (21), pp.215001. ⟨10.1088/1361-6382/abb577⟩
Class.Quant.Grav.
Class.Quant.Grav., 2020, 37 (21), pp.215001. ⟨10.1088/1361-6382/abb577⟩

The homogeneous Friedman-Lema\^\i tre-Robertson-Walker (FLRW) cosmology of a free scalar field with vanishing cosmological constant was recently shown to be invariant under the one-dimensional conformal group $\textrm{SL}(2,\mathbb{R})$ acting as M{\

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::facf7b7b8ba81d1c74c9624868af8788
https://doi.org/10.1088/1361-6382/abb577

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On correlation functions in $J\bar T$-deformed CFTs

Autor: Monica Guica

Publikováno v: J.Phys.A
J.Phys.A, 2019, 52 (18), pp.184003. ⟨10.1088/1751-8121/ab0ef3⟩
Journal of Physics A: Mathematical and Theoretical

The $J\bar T$ deformation, built from the components of the stress tensor and of a $U(1)$ current, is a universal irrelevant deformation of two-dimensional CFTs that preserves the left-moving conformal symmetry, while breaking locality on the right-m

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The conformal characters

Autor: Antoine Bourget, Jan Troost

Publikováno v: Journal of High Energy Physics
Journal of High Energy Physics, Vol 2018, Iss 4, Pp 1-40 (2018)
Scopus
Journal of High Energy Physics, Springer, 2018, 04, pp.055. ⟨10.1007/JHEP04(2018)055⟩
Journal of High Energy Physics, Springer, 2018, 2018 (4), ⟨10.1007/JHEP04(2018)055⟩
RUO. Repositorio Institucional de la Universidad de Oviedo
instname

We revisit the study of the multiplets of the conformal algebra in any dimension. The theory of highest weight representations is reviewed in the context of the Bernstein-Gelfand-Gelfand category of modules. The Kazhdan-Lusztig polynomials code the r

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Polymer Quantum Cosmology: Lifting quantization ambiguities using a $SL(2,\mathbb{R})$ conformal symmetry

Autor: Ben Achour, Jibril, Livine, Etera R.

Publikováno v: Phys.Rev.D
Phys.Rev.D, 2019, 99 (12), pp.126013. ⟨10.1103/PhysRevD.99.126013⟩
Physical Review D
Physical Review D, American Physical Society, 2019, 99 (12), pp.126013. ⟨10.1103/PhysRevD.99.126013⟩

In this letter, we stress that the simplest cosmological model consisting in a massless scalar field minimally coupled to homogeneous and isotropic gravity has an in-built $\SL(2,\mathbb{R})$ symmetry. Protecting this symmetry naturally provides an e

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Dissertation/ Thesis

Conformal Symmetry In Field Theory

Autor: Huyal, Ulas

In this thesis, conformal transformations in d and two dimensions and the results of conformal symmetry in classical and quantum field theories are reviewed. After investigating the conformal group and its algebra, various aspects of conformal invari

Externí odkaz: http://etd.lib.metu.edu.tr/upload/12613136/index.pdf

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