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Introduction to Quantization of Conformal Gravity
Universe, 2022 A method for consistent quantization of conformal gravity treating conformal symmetry in a very controllable way is presented. First, we discuss local conformal symmetry in the framework of gravitational interactions, where we view it as an example of a ...
Lesław Rachwał
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On the conformal symmetry of exceptional scalar theories
Journal of High Energy Physics, 2021 The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find the Lagrangian form of this symmetry.
Kara Farnsworth +2 more
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Journal of High Energy Physics, 2023 Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of the 2-point ...
Erin Blauvelt +2 more
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CFT duals for black rings and black strings
Journal of High Energy Physics, 2023 Holographic dualities between certain gravitational theories in four and five spacetime dimensions and 2D conformal field theories (CFTs) have been proposed based on hidden conformal symmetry exhibited by the radial Klein-Gordon (KG) operator in a so ...
Alexandra Chanson +3 more
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Neutrinos, axions and conformal symmetry [PDF]
The European Physical Journal C, 2008 We demonstrate that radiative breaking of conformal symmetry (and simultaneously electroweak symmetry) in the Standard Model with right-chiral neutrinos and a minimally enlarged scalar sector induces spontaneous breaking of lepton number symmetry, which naturally gives rise to an axion-like particle with some unusual features.
Meissner, K., Nicolai, H.
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Accidental symmetries and the conformal bootstrap [PDF]
Journal of High Energy Physics, 2016 We study an ${\cal N} = 2$ supersymmetric generalization of the three-dimensional critical $O(N)$ vector model that is described by $N+1$ chiral superfields with superpotential $W = g_1 X \sum_i Z_i^2 + g_2 X^3$. By combining the tools of the conformal bootstrap with results obtained through supersymmetric localization, we argue that this model ...
Chester, Shai +5 more
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Dual conformal invariance in the Regge limit [PDF]
, 2010 A dual conformal symmetry, analogous to the dual conformal symmetry observed for the scattering amplitudes of N=4 Super Yang-Mills theory, is identified in the Regge limit of QCD.
Gomez, Cesar +2 more
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Conformal symmetry and unification [PDF]
AIP Conference Proceedings, 1998 The Weyl-Weinberg-Salam model is presented. It is based on the local conformal gauge symmetry. The model identifies the Higgs scalar field in SM with the Penrose-Chernikov-Tagirov scalar field of the conformal theory of gravity. Higgs mechanism for generation of particle masses is replaced by the originated in Weyl's ideas conformal gauge scale fixing.
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Quantum diffeomorphisms and conformal symmetry [PDF]
Physical Review D, 1997 We analyze the constraints of general coordinate invariance for quantum theories possessing conformal symmetry in four dimensions. The character of these constraints simplifies enormously on the Einstein universe $R \times S^3$. The $SO(4,2)$ global conformal symmetry algebra of this space determines uniquely a finite shift in the Hamiltonian ...
Emil Mottola +2 more
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The Uses of conformal symmetry in QCD [PDF]
Progress in Particle and Nuclear Physics, 2003 The Lagrangian of Quantum Chromodynamics is invariant under conformal transformations. Although this symmetry is broken by quantum corrections, it has important consequences for strong interactions at short distances and provides one with powerful tools in practical calculations.
Gregory P. Korchemsky +2 more
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