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The analytic bootstrap equations of non-diagonal two-dimensional CFT
Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method. Here we generalize this approach to non-diagonal CFTs, i.e.
Santiago Migliaccio, Sylvain Ribault
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Wronskian indices and rational conformal field theories
The classification scheme for rational conformal field theories, given by the Mathur-Mukhi-Sen (MMS) program, identifies a rational conformal field theory by two numbers: (n, l). n is the number of characters of the rational conformal field theory.
Arpit Das+2 more
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Cut-touching linear functionals in the conformal bootstrap
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
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Classifying three-character RCFTs with Wronskian index equalling 0 or 2
In the modular linear differential equation (MLDE) approach to classifying rational conformal field theories (RCFTs) both the MLDE and the RCFT are identified by a pair of non-negative integers [n,l].
Arpit Das+2 more
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Quest for the Dynamical Origin of Mass - An LHC perspective from Sakata, Nambu and Maskawa [PDF]
I review the dynamical symmetry breaking (DSB) approach to the Origin of Mass, which is traced back to the original (2008 Nobel prize) work of Nambu based on the BCS analogue of superconductor where mass of nucleon (then elementary particle) arises due ...
Yamawaki, Koichi
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We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a ℤ3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore ...
Minjae Cho, Scott Collier, Xi Yin
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Dimensional reduction of higher-point conformal blocks
Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d − 2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional CFT, with ...
Sarah Hoback, Sarthak Parikh
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Crossing, modular averages and N ↔ k in WZW models
We consider the construction of genus zero correlators of SU(N ) k WZW models involving two Kac-Moody primaries in the fundamental and two in the anti-fundamental representation from modular averaging of the contribution of the vacuum conformal block. We
Ratul Mahanta, Anshuman Maharana
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Conformal four-point correlation functions from the operator product expansion
We show how to compute conformal blocks of operators in arbitrary Lorentz representations using the formalism described in [1, 2] and present several explicit examples of blocks derived via this method.
Jean-François Fortin+2 more
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Conformal theory of gravitation and cosmology
The postulate of universal local Weyl scaling (conformal) symmetry modifies both general relativity and the Higgs scalar field model. Conformal gravity (CG) has recently been fitted to rotation data for 138 galaxies.
Nesbet, R. K.
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