Combinatorial and Analytic properties of partition functions in AdS/LCFT
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of Pretoria
Abstract
The primary goal of this thesis is the study of the 1-loop partition function of critical topologically massive gravity, a theory conjectured to be dual to a logarithmic conformal field theory through the AdS3/LCFT2 correspondence. In particular, a better understanding of the combinatorics of the multi-log sector has been desired, in order to give the partition function a more concrete interpretation from an LCFT perspective. In this work we show that the partition function can be usefully rewritten as a Bell polynomial expansion. We also show that there is a relationship between this Bell polynomial expansion and the plethystic exponential. Finally, we discuss the appearance of a ladder action between the different multi-particle sectors in the partition function, which induces a sl(2) structure on the n-particle components of the partition function.
Description
Thesis (PhD)--University of Pretoria, 2019.
Keywords
UCTD, Physics
Sustainable Development Goals
Citation
Mvondo-She, YON 2019, Combinatorial and Analytic properties of partition functions in AdS/LCFT, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/70243>
Mvondo-She, YON 2019, Combinatorial and Analytic properties of partition functions in AdS/LCFT, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/70243>
Mvondo-She, YON 2019, Combinatorial and Analytic properties of partition functions in AdS/LCFT, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/70243>