Combinatorial and Analytic properties of partition functions in AdS/LCFT

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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.

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Thesis (PhD)--University of Pretoria, 2019.

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UCTD, Physics

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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>