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Energy Correlators, Dispersive Sum Rules, and Modular Bootstrap in Conformal Field Theories


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.


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.))
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)
Research Advisor(s):
  • Simmons-Duffin, David
Thesis Committee:
  • Kapustin, Anton N. (chair)
  • Motrunich, Olexei I.
  • Ooguri, Hirosi
  • Simmons-Duffin, David
Defense Date:18 April 2024
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Record Number:CaltechTHESIS:05112024-185918688
Persistent URL:
Related URLs:
URLURL TypeDescription adapted for chapter 2. adapted for chapter 3. adapted for chapter 4. adapted for chapter 5.
Chang, Cyuan-Han0000-0002-7133-3553
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16379
Deposited By: Cyuan Han Chang
Deposited On:14 May 2024 18:28
Last Modified:17 Jun 2024 18:53

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