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Lorentzian Dynamics and Factorization Beyond Rationality

Chang, Chi-Ming and Lin, Ying-Hsuan (2020) Lorentzian Dynamics and Factorization Beyond Rationality. . (Unpublished)

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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 Lorentzian dynamics including aspects of chaos. We derive a formula for the infinite boost limit, which holographically encodes the transparency/opacity of bulk scattering, in terms of the action of topological defect lines on local operators, and argue for a unitarity bound. Factorization also gives a formula relating the local and defect operator algebras and fusion categorical data. We 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, a dichotomy between rationality and irrationality is found regarding the factorization of the twist field.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Chang, Chi-Ming0000-0002-8978-2613
Lin, Ying-Hsuan0000-0001-8904-1287
Additional Information:We are grateful to David Simmons-Duffin and Hirosi Ooguri for discussions. CC thanks the hospitality of National Taiwan University. YL is supported by the Sherman Fairchild Foundation, by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632, and by the Simons Collaboration Grant on the Non-Perturbative Bootstrap.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
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Record Number:CaltechAUTHORS:20201210-103745740
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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:10 Dec 2020 20:02

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