Results 11 to 20 of about 2,102 (225)

Genus two modular bootstrap

open access: yesJournal of High Energy Physics, 2019
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
doaj   +1 more source

The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT

open access: yesJournal of High Energy Physics, 2020
We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 (s, ϕ, and t).
Junyu Liu   +3 more
doaj   +1 more source

Wronskian indices and rational conformal field theories

open access: yesJournal of High Energy Physics, 2021
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
doaj   +1 more source

Cut-touching linear functionals in the conformal bootstrap

open access: yesJournal of High Energy Physics, 2017
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
doaj   +1 more source

Conformal four-point correlation functions from the operator product expansion

open access: yesJournal of High Energy Physics, 2020
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
doaj   +1 more source

Bound on asymptotics of magnitude of three point coefficients in 2D CFT

open access: yesJournal of High Energy Physics, 2020
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
doaj   +1 more source

Classifying three-character RCFTs with Wronskian index equalling 0 or 2

open access: yesJournal of High Energy Physics, 2021
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
doaj   +1 more source

The analytic bootstrap equations of non-diagonal two-dimensional CFT

open access: yesJournal of High Energy Physics, 2018
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
doaj   +1 more source

Crossing, modular averages and N ↔ k in WZW models

open access: yesJournal of High Energy Physics, 2019
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
doaj   +1 more source

Large-c superconformal torus blocks

open access: yesJournal of High Energy Physics, 2018
We study large-c SCFT2 on a torus specializing to one-point superblocks in the N $$ \mathcal{N} $$ = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly ...
Konstantin Alkalaev, Vladimir Belavin
doaj   +1 more source

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