Results 11 to 20 of about 3,134 (251)
Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems [PDF]
Let F be the function which maps conformally a simple-connected domain onto a rectangle R, so that four specified points on are mapped Ω∂respectively onto the four vertices of R. In this paper we consider the problem of approximating the conformal map F,
Papamichael, N
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Isomonodromic deformations and conformal field theory with W-symmetry [PDF]
The correspondence between isomonodromic deformations and conformal field theories with W-symmetry relates isomonodromic tau-functions to linear combinations of conformal blocks of the W-algebras.
Gavrylenko, P.
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4d/2d Correspondence: Instantons and W-Algebras [PDF]
In this thesis, we study the 4d/2d correspondence of Alday-Gaiotto-Tachikawa, which relates the class of 4-dimensional N=2 gauge theories (theories of class S) to a 2-dimensional conformal field theory. The 4d gauge theories are obtained by compactifying
Song, Jaewon
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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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Modular differential equations with movable poles and admissible RCFT characters
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
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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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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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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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Bound on asymptotics of magnitude of three point coefficients in 2D CFT
We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead
Sridip Pal
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