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Spin in Conformal Field Theory


Kravchuk, Petr (2018) Spin in Conformal Field Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/54MW-WY30.


We study various questions related to operators with spin in quantum conformal field theory in dimensions higher than two. In particular, we classify conformally-invariant tensor structures which appear in correlation functions of local operators and develop tools for computation of conformal blocks which contribute to these functions. We study the crossing equations for four-point functions using numerical and analytical techniques. Finally, we explore the question of analytic continuation of local operators in spin, which leads us to a simple proof of a generalized Lorentzian inversion formula.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Conformal field theory; spin; conformal bootstrap
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Awards:John Stager Stemple Memorial Prize in Physics, 2017.
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ooguri, Hirosi
Group:Walter Burke Institute for Theoretical Physics
Thesis Committee:
  • Ooguri, Hirosi (chair)
  • Simmons-Duffin, David
  • Kapustin, Anton N.
  • Alicea, Jason F.
Defense Date:30 May 2018
Record Number:CaltechTHESIS:06012018-180443792
Persistent URL:
Related URLs:
URLURL TypeDescription adapted for chapter 2. adapted for chapter 3. adapted for chapter 4. adapted for chapter 5. adapted for chapter 6. adapted for chapter 7. adapted for chapter 8.
Kravchuk, Petr0000-0003-0977-3686
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11008
Deposited By: Petr Kravchuk
Deposited On:04 Jun 2018 20:17
Last Modified:04 Oct 2019 00:22

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