Recent Submissions

  • Duality and domains in supersymmetric gauge theories 

    Aspman, Johannes Bengt (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    This thesis investigates duality properties of four-dimensional N = 2 supersymmetric Yang-Mills theory. By restricting the domain of the effective coupling to an appropriate fundamental domain the order parameter on the ...
  • Modularity in Supersymmetric Gauge Theory 

    Furrer, Elias Raphael (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    In this thesis, we study the modularity and duality of Coulomb branches for a class of four-dimensional N=2 supersymmetric gauge theories. For pure N=2 super Yang-Mills theory with gauge group SU(2), the Coulomb branch can ...
  • Conformal Bootstrap and Black Holes in AdS/CFT 

    Karlsson, Johan Robin (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    In this thesis, we explore applications of the conformal bootstrap to holographic CFTs that are dual to theories of gravity in asymptotically Anti-de Sitter spacetimes. In particular, we consider correlation functions with ...
  • Automorphic Symmetries, String integrable structures and Deformations 

    Pribitoks, Antons (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    We address the novel structures arising in quantum and string integrable theories, as well as construct methods to obtain them and provide further analysis. Specifically, we implement the automorphic symmetries on ...
  • Coherent states and classical radiative observables in the S-matrix formalism 

    Gonzo, Riccardo (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    In this thesis, we study classical radiative observables perturbatively in terms of on-shell scattering amplitudes. In particular, we focus primarily on the two-body problem in gauge and gravitational theories by using an ...

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