Citation
Chang, Cyuan-Han (2024) Energy Correlators, Dispersive Sum Rules, and Modular Bootstrap in Conformal Field Theories. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/na45-ng05. https://resolver.caltech.edu/CaltechTHESIS:05112024-185918688
Abstract
In this thesis, we study various observables and constraints in conformal field theories. First, we consider a product of two null-integrated operators on the same null plane and derive an operator product expansion in the direction transverse to the null plane. We then generalize to the case of three null-integrated operators, and study constraints from Lorentz symmetry. We generate a class of dispersive CFT sum rules using commutativity of null-integrated operators, and build a dictionary between the CFT sum rules and the flat space dispersion relations. Finally, we consider two-dimensional conformal field theories and derive a scalar crossing equation using modular invariance.
Item Type: | Thesis (Dissertation (Ph.D.)) | |||||||||||||||
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Subject Keywords: | Conformal Field Theory; Conformal Bootstrap | |||||||||||||||
Degree Grantor: | California Institute of Technology | |||||||||||||||
Division: | Physics, Mathematics and Astronomy | |||||||||||||||
Major Option: | Physics | |||||||||||||||
Awards: | James A. Cullen Memorial Fellowship Fund, 2019. | |||||||||||||||
Thesis Availability: | Public (worldwide access) | |||||||||||||||
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Defense Date: | 18 April 2024 | |||||||||||||||
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Record Number: | CaltechTHESIS:05112024-185918688 | |||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:05112024-185918688 | |||||||||||||||
DOI: | 10.7907/na45-ng05 | |||||||||||||||
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Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
ID Code: | 16379 | |||||||||||||||
Collection: | CaltechTHESIS | |||||||||||||||
Deposited By: | Cyuan Han Chang | |||||||||||||||
Deposited On: | 14 May 2024 18:28 | |||||||||||||||
Last Modified: | 17 Jun 2024 18:53 |
Thesis Files
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