ORCID

https://orcid.org/0000-0002-7824-7420

Date of Award

Summer 2025

Language

English

Embargo Period

7-17-2025

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

College/School/Department

Department of Physics

Program

Physics

First Advisor

Oleg Lunin

Committee Members

Daniel Robbins, Ariel Caticha, Gabriele Tartaglino-Mazzucchelli

Keywords

String theory, Integrability, dualities

Subject Categories

Elementary Particles and Fields and String Theory | Quantum Physics

Abstract

This thesis explores the interplay of hidden symmetries and dualities in string theory, with a particular emphasis on the role of T-duality. As a fundamental symmetry of string theory, T-duality offers a powerful lens through which one can study integrability, solution-generating techniques, and quantum corrections, all essential aspects of modern string theoretic frameworks.

A central focus of this work is the application of the duality covariant formalism of Double Field Theory (DFT) to address problems involving integrable deformations and higher-order quantum corrections. We examine how generalized integrable models can be embedded into DFT and how the formalism captures hidden symmetries often obscured in traditional approaches. We also develop a systematic method to generate new string backgrounds by extending non-Abelian T-duality transformations, uncovering deeper connections between group and coset dualities. These constructions not only generalize known techniques like TsT transformations but also suggest intriguing links to holography and integrability. We also investigate quantum corrections to supergravity backgrounds using the DFT framework and construct exact solutions beyond the leading order in α ′. The special class of geometries identified in this work offers a simplified setting to probe quantum consistency of dual backgrounds, with implications for extending the formalism to even higher orders.

License

This work is licensed under the University at Albany Standard Author Agreement.

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