Abstract

In this thesis we study symmetries of quantum field theory visible only at the non-perturbative level, which arise from large deformations of the integration contour in the path integral. We exposit the recently-developed theory of qq-characters that organizes such symmetries in the case of N = 2 supersymmetric gauge theories in four dimensions. We sketch the physical origin of such observables from intersecting branes in string theory, and the mathematical origin as certain
equivariant integrals over Nakajima quiver varieties. We explain some of the main applications, including the derivation of Seiberg-Witten geometry for quiver gauge theories and the relations to quantum integrable systems.

Thesis Completion

2022

Semester

Spring

Thesis Chair

Efthimiou, Costas

Degree

Bachelor of Science (B.S.)

College

College of Sciences

Department

Physics

Language

English

Access Status

Open Access

Release Date

5-1-2022

Restricted to the UCF community until 5-1-2022; it will then be open access.

Included in

Physics Commons

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