Dissertation/Thesis Abstract

Numerical Study of Klebanov-Tarnopolsky Models
by Avish, Nathaniel, M.S., State University of New York at Albany, 2020, 40; 27994456
Abstract (Summary)

In this thesis we perform a numerical study of the O(N1) × O(N2) × O(N3) 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 213 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.

Indexing (document details)
Advisor: Lunin, Oleg
Commitee: Robbins, Daniel, Caticha, Ariel
School: State University of New York at Albany
Department: Physics
School Location: United States -- New York
Source: MAI 81/12(E), Masters Abstracts International
Subjects: Particle physics
Keywords: High energy physics, Theoretical physics
Publication Number: 27994456
ISBN: 9798641260778
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