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. https://resolver.caltech.edu/CaltechAUTHORS:20201210-103745740
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Abstract
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.
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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 | ||||||||||||
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Subject Keywords: | Anomalies in Field and String Theories; Anyons; Conformal Field Theory; Field Theories in Lower Dimensions | ||||||||||||
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Issue or Number: | 10 | ||||||||||||
DOI: | 10.1007/JHEP10(2021)125 | ||||||||||||
Record Number: | CaltechAUTHORS:20201210-103745740 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201210-103745740 | ||||||||||||
Official Citation: | Chang, CM., Lin, YH. Lorentzian dynamics and factorization beyond rationality. J. High Energ. Phys. 2021, 125 (2021). https://doi.org/10.1007/JHEP10(2021)125 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 107010 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Joy Painter | ||||||||||||
Deposited On: | 10 Dec 2020 20:02 | ||||||||||||
Last Modified: | 26 Oct 2021 17:18 |
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