Date of Award

1-1-2020

Language

English

Document Type

Master's Thesis

Degree Name

Master of Science (MS)

College/School/Department

Department of Physics

Content Description

1 online resource (vii, 32 pages) : illustrations (some color)

Dissertation/Thesis Chair

Oleg Lunin

Committee Members

Daniel Robbins, Ariel Caticha

Keywords

High energy physics, Physics, Theoretical physics, Mathematical physics, Hamiltonian systems, Eigenvalues, Eigenvectors, Matrices

Subject Categories

Physics

Abstract

In this thesis we perform a numerical study of the $O(N_1)\times O(N_2)\times O(N_3)$ Klebanov-Tarnopolsky (KT) model, whose large-$N$ limit is expected to admit a simple gravitational dual under the AdS/CFT correspondence. We study the $25$ special cases of the KT model which have fewer than $2^{13}$ states. For all such systems we diagonalize the Hamiltonian matrices, identify sectors which have specific charges, and compute the number of singlet states. Our findings support prior evidence that the KT model can be exactly diagonalized and therefore may have an exact analytic solution, which would be helpful in learning more about the AdS/CFT conjecture.

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