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Spin in Conformal Field Theory

Citation

Kravchuk, Petr (2018) Spin in Conformal Field Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/54MW-WY30. http://resolver.caltech.edu/CaltechTHESIS:06012018-180443792

Abstract

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:http://resolver.caltech.edu/CaltechTHESIS:06012018-180443792
DOI:10.7907/54MW-WY30
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1612.08987arXivArticle adapted for chapter 2.
https://arxiv.org/abs/1705.05401arXivArticle adapted for chapter 3.
https://arxiv.org/abs/1706.07813arXivArticle adapted for chapter 4.
https://arxiv.org/abs/1709.05347arXivArticle adapted for chapter 5.
https://arxiv.org/abs/1805.00098arXivArticle adapted for chapter 6.
https://arxiv.org/abs/1510.08772arXivArticle adapted for chapter 7.
https://arxiv.org/abs/1708.05718arXivArticle adapted for chapter 8.
ORCID:
AuthorORCID
Kravchuk, Petr0000-0003-0977-3686
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11008
Collection:CaltechTHESIS
Deposited By: Petr Kravchuk
Deposited On:04 Jun 2018 20:17
Last Modified:21 Aug 2018 22:40

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