Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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

Journal Article · · Journal of High Energy Physics (Online)
ORCiD logo [1]
  1. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
+ Show Author Affiliations

Here, 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 to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically.

Research Organization:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC); Simons Foundation
Grant/Contract Number:
SC0009988; SC0009919
OSTI ID:
1597248
Journal Information:
Journal of High Energy Physics (Online), Vol. 2020, Issue 1; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (40)

Operator content of two-dimensional conformally invariant theories journal January 1986
Modular constraints on conformal field theories with currents journal December 2017
Universal spectrum of 2d conformal field theory in the large c limit journal September 2014
Thermalization and its mechanism for generic isolated quantum systems journal April 2008
Charged structure constants from modularity text January 2017
A Tauberian Theorem for Partitions journal December 1941
Eigenstate thermalization hypothesis in conformal field theory journal March 2018
Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block journal August 2019
Does a Single Eigenstate Encode the Full Hamiltonian? journal April 2018
Growing extra dimensions in AdS/CFT journal August 2019
Genus two modular bootstrap journal April 2019
Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity journal January 2019
Modular invariance, tauberian theorems and microcanonical entropy journal October 2019
A universal inequality for CFT and quantum gravity journal August 2011
Contributions to the theory of Ramanujan's function τ( n ) and similar arithmetical functions: iii. a note on the sum function of the fourier coefficients of integral modular forms journal April 1940
Quantum Regge trajectories and the Virasoro analytic bootstrap journal May 2019
Charged structure constants from modularity journal November 2017
Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap journal December 2019
Modular bootstrap revisited journal September 2018
A cardy formula for three-point coefficients or how the black hole got its spots journal May 2017
Light-state dominance from the conformal bootstrap journal August 2019
A tauberian theorem for the conformal bootstrap journal December 2017
Typicality and thermality in 2d CFT journal July 2019
Analytic Euclidean bootstrap journal October 2019
Contributions to the theory of Ramanujan's function τ( n ) and similar arithmetical functions: II. The order of the Fourier coefficients of integral modular forms journal July 1939
Critical Ising correlation functions in the plane and on the torus journal January 1987
Constraints on flavored 2d CFT partition functions journal February 2018
Quantum statistical mechanics in a closed system journal February 1991
Contributions to the theory of Ramanujan's function τ( n ) and similar arithmetical functions: I. The zeros of the function on the line journal July 1939
Thermal Correlation Functions of KdV Charges in 2D CFT text January 2018
Generalized Gibbs Ensemble and the Statistics of KdV Charges in 2D CFT text January 2018
Universal Spectrum of 2d Conformal Field Theory in the Large c Limit text January 2014
Does a single eigenstate encode the full Hamiltonian? text January 2015
Eigenstate Thermalization Hypothesis in Conformal Field Theory text January 2016
Thermal Correlation Functions of KdV Charges in 2D CFT text January 2018
Quantum Regge Trajectories and the Virasoro Analytic Bootstrap text January 2018
Light-state Dominance from the Conformal Bootstrap text January 2018
Typicality and thermality in 2d CFT text January 2019
Modular Invariance, Tauberian Theorems, and Microcanonical Entropy text January 2019
Growing Extra Dimensions in AdS/CFT text January 2019

Similar Records

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Conformal and W Symmetry
Conformal Field Theory