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Two topics in 2D quantum field theory


Rivlis, Gil (1991) Two topics in 2D quantum field theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/w269-sg43.


Two topics in two-dimensional quantum field theory are presented. The first is a classification of 2- and 3-field rational conformal field theories. Using the fact that the fusion algebra of a RCFT is specified in terms of integers that are related to modular transformation properties, we classify 2- and 3-field chiral RCFT's. We show that the only possibilities for the non-trivial fusion rule in the 2-field case are φ x φ = 1 or φ x φ = 1 + φ. Similar results are obtained for the 3-field case. A partial classification of possible conformal dimensions and central charges for these theories is also obtained. The second topic is in two-dimensional quantum gravity. Explicit computation of the non-perturbative correlation functions of the (1, q) models of KdV-gravity is presented. This computation includes contributions from high genus as well as correlation functions of descendant fields. A ghost number conservation law for these models is derived from purely algebraic considerations. A hint of further selection rules is found.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Schwarz, John H.
Group:Caltech Theory
Thesis Committee:
  • Unknown, Unknown
Defense Date:15 May 1991
Record Number:CaltechTHESIS:04112011-105901546
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6287
Deposited By: Tony Diaz
Deposited On:12 Apr 2011 21:22
Last Modified:16 Apr 2021 23:10

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