Browsing Pure & Applied Mathematics (Theses and Dissertations) by Date of Publication

Now showing items 61-68 of 68

    • 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 ...

    • Non-planar anomalous dimensions in super Yang-Mills theories 

      Spiering, Anne (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
      Conformal supersymmetric Yang--Mills theories play an important role in the gauge-gravity correspondence and, despite being highly non-physical, have been a driving force for many new approaches in more realistic theories ...

    • 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 ...

    • Exploring efficient methods for precision QCD calculations on the lattice 

      Bushnaq, Lucius Nabil (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)
      We study a new technique for stochastic noise reduction in the calculation of propagators by implementing it in OpenQ*D for two ensembles with O(a) improved Wilson fermion ac- tion, with periodic boundary conditions and ...

    • Hadron Scattering Amplitudes from Lattice QCD 

      Lang, Nicolas (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)
      In this thesis we compute hadron scattering amplitudes within the framework of lattice quantum chromodynamics. Finite-volume spectra are computed using distillation and the variational method. These spectra constrain ...

    • Yang-Baxter integrable open quantum systems 

      Paletta, Chiara (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)
      The main result of this thesis is the use of the boost operator to develop a systematic method to construct new integrable spin chains with nearest-neighbour interaction and characterized by an R-matrix of non-difference ...

    • Heavy Hadron Spectroscopy from Lattice QCD 

      Gayer, Luke Richard (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2024)
      In this thesis, heavy hadron spectroscopy was studied through the formalism of lattice quantum chromodynamics. A summary of relevant theory is provided, followed by an overview of the current state-of-the-art spectroscopy ...