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. https://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:

https://resolver.caltech.edu/CaltechTHESIS:06012018-180443792

DOI:

10.7907/54MW-WY30

Related URLs:

URL	URL Type	Description
https://arxiv.org/abs/1612.08987	arXiv	Article adapted for chapter 2.
https://arxiv.org/abs/1705.05401	arXiv	Article adapted for chapter 3.
https://arxiv.org/abs/1706.07813	arXiv	Article adapted for chapter 4.
https://arxiv.org/abs/1709.05347	arXiv	Article adapted for chapter 5.
https://arxiv.org/abs/1805.00098	arXiv	Article adapted for chapter 6.
https://arxiv.org/abs/1510.08772	arXiv	Article adapted for chapter 7.
https://arxiv.org/abs/1708.05718	arXiv	Article adapted for chapter 8.

ORCID:

Author	ORCID
Kravchuk, Petr	0000-0003-0977-3686

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:

04 Oct 2019 00:22

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