A Caltech Library Service

Lorentzian dynamics and factorization beyond rationality

Chang, Chi-Ming and Lin, Ying-Hsuan (2021) Lorentzian dynamics and factorization beyond rationality. Journal of High Energy Physics, 2021 (10). Art. No. 125. ISSN 1126-6708. doi:10.1007/JHEP10(2021)125.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We investigate the emergence of topological defect lines in the conformal Regge limit of two-dimensional conformal field theory. We explain how a local operator can be factorized into a holomorphic and an anti-holomorphic defect operator connected through a topological defect line, and discuss implications on analyticity and Lorentzian dynamics including aspects of chaos. We derive a formula relating the infinite boost limit, which holographically encodes the “opacity” of bulk scattering, to the action of topological defect lines on local operators. Leveraging the unitary bound on the opacity and the positivity of fusion coefficients, we show that the spectral radii of a large class of topological defect lines are given by their loop expectation values. Factorization also gives a formula relating the local and defect operator algebras and fusion categorical data. We then review factorization in rational conformal field theory from a defect perspective, and examine irrational theories. On the orbifold branch of the c = 1 free boson theory, we find a unified description for the topological defect lines through which the twist fields are factorized; at irrational points, the twist fields factorize through “non-compact” topological defect lines which exhibit continuous defect operator spectra. Along the way, we initiate the development of a formalism to characterize non-compact topological defect lines.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Chang, Chi-Ming0000-0002-8978-2613
Lin, Ying-Hsuan0000-0001-8904-1287
Additional Information:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: April 29, 2021; Revised: September 26, 2021; Accepted: September 27, 2021; Published: October 15, 2021. We are grateful to David Simmons-Duffin, Hirosi Ooguri and Xi Yin for discussions and helpful comments. CC thanks the hospitality of National Taiwan University. CC is partly supported by National Key R&D Program of China (NO. 2020YFA0713000). YL is supported by the Simons Collaboration Grant on the Nonperturbative Bootstrap, the Sherman Fairchild Foundation, and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
National Key Research and Development Program of China2020YFA0713000
Simons FoundationUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Anomalies in Field and String Theories; Anyons; Conformal Field Theory; Field Theories in Lower Dimensions
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Issue or Number:10
Record Number:CaltechAUTHORS:20201210-103745740
Persistent URL:
Official Citation:Chang, CM., Lin, YH. Lorentzian dynamics and factorization beyond rationality. J. High Energ. Phys. 2021, 125 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107010
Deposited By: Joy Painter
Deposited On:10 Dec 2020 20:02
Last Modified:26 Oct 2021 17:18

Repository Staff Only: item control page