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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.
| 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 |
| Source Type: | DISSERTATION |
| Subjects: | Particle physics |
| Keywords: | High energy physics, Theoretical physics |
| Publication Number: | 27994456 |
| ISBN: | 9798641260778 |
