☆ 4.4 Article

Modular linear differential equations for four-point sphere conformal blocks

JOURNAL OF HIGH ENERGY PHYSICS (2023)

Related references

Note: Only part of the references are listed.

Article Physics, Particles & Fields

Scalar modular bootstrap and zeros of the Riemann zeta function

Nathan Benjamin et al.

Summary: By utilizing harmonic analysis, this article derives a crossing equation that applies only to scalar primary operators in any two-dimensional conformal field theory with U(1)(c) symmetry. The obtained crossing equation provides bounds on the scalar gap of all such theories and remarkably includes information about nontrivial zeros of the Riemann zeta function. Consequently, the Riemann hypothesis is rephrased solely as a statement regarding the asymptotic density of scalar operators in certain two-dimensional conformal field theories. Generalizations to theories with only Virasoro symmetry are also discussed.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

New meromorphic CFTs from cosets

Arpit Das et al.

Summary: In recent years, it has been discovered that new rational conformal field theories (CFTs) can be found by applying the coset construction to meromorphic CFTs. In this study, the researchers reversed this approach and showed that the coset construction, along with the classification of meromorphic CFTs with central charge (c) <= 24, can be used to predict the existence of new meromorphic CFTs with c >= 32. These new CFTs have non-simply-laced Kac-Moody algebras and/or levels greater than 1, indicating that they are non-lattice theories. By utilizing three-character coset relations, the researchers propose 34 infinite series of meromorphic theories with arbitrarily large central charge, as well as 46 theories at c = 32 and c = 40.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

Four-point correlation modular bootstrap for OPE densities

Carlos Cardona et al.

Summary: In this work, the lightcone bootstrap was applied to study the four-point function of scalars in two-dimensional conformal field theory, including the entire Virasoro symmetry. A kernel ansatz was proposed to generalize the spectral decomposition of the Virasoro vacuum, extending it beyond the large dimension limit.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Wronskian indices and rational conformal field theories

Arpit Das et al.

Summary: The paper discusses the classification scheme for rational conformal field theories, which identifies them by two numbers (n, l). It computes the (n, l) values for three classes of well-known CFTs and finds interesting patterns and coincidences in the Wronskian indices of certain CFTs. The goal is to classify all rational conformal field theories for a given (n, l), with partial classifications provided using the computations.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Harmonic analysis of 2d CFT partition functions

Nathan Benjamin et al.

Summary: The text discusses the application of harmonic analysis theory to study the partition functions of two-dimensional conformal field theories, decomposing them into eigenfunctions of different moduli spaces and exploring their relevance to AdS(3) gravity. It emphasizes that the local operator spectrum is fully determined by a specific subset of degeneracies.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Rational CFT with three characters: the quasi-character approach

Sunil Mukhi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Add to Collection

Article Physics, Particles & Fields

Virasoro blocks and quasimodular forms

Diptarka Das et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Add to Collection

Article Physics, Particles & Fields

Towards a classification of two-character rational conformal field theories

A. Ramesh Chandra et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Add to Collection

Article Physics, Particles & Fields

Crossing, modular averages and N ⇆ k in WZW models

Ratul Mahanta et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Add to Collection

Article Physics, Multidisciplinary

Curiosities above c = 24

A. Ramesh Chandra et al.

SCIPOST PHYSICS (2019)

Add to Collection

Article Astronomy & Astrophysics

Universal asymptotics of three-point coefficients from elliptic representation of Virasoro blocks

Diptarka Das et al.

PHYSICAL REVIEW D (2018)

Add to Collection

Article Physics, Particles & Fields

Looking for a bulk point

Juan Maldacena et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Add to Collection

Article Physics, Particles & Fields

A numerical approach to Virasoro blocks and the information paradox

Hongbin Chen et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Add to Collection

Article Physics, Particles & Fields

The conformal block Farey tail

Alexander Maloney et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Add to Collection

Article Physics, Particles & Fields

On 2d Conformal Field Theories with two characters

Harsha R. Hampapura et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Add to Collection

Article Physics, Particles & Fields

Two-dimensional RCFT's without Kac-Moody symmetry

Harsha R. Hampapura et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Add to Collection

Article Physics, Particles & Fields

Virasoro conformal blocks in closed form

Eric Perlmutter

JOURNAL OF HIGH ENERGY PHYSICS (2015)

Add to Collection

Article Physics, Particles & Fields

The large central charge limit of conformal blocks

Vladimir Fateev et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Add to Collection

Article Physics, Multidisciplinary

A differential equation for a four-point correlation function in Liouville field theory and elliptic four-point conformal blocks

Vladimir A. Fateev et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2009)

Add to Collection

© Peeref 2019-2024. All rights reserved.