Use this URL to cite or link to this record in EThOS:
Title: Exact results on moduli spaces of supersymmetric gauge theories
Author: Mekareeya, Noppadol
ISNI:       0000 0004 2707 5969
Awarding Body: Imperial College London
Current Institution: Imperial College London
Date of Award: 2011
Availability of Full Text:
Access from EThOS:
Access from Institution:
In this thesis, certain exact results in supersymmetric gauge theories are discussed. In these theories, holomorphic gauge invariant operators play a central role in understanding the structure of the space of solutions to vacuum equations, known as the moduli space. We focus on a technique to count such operators with various quantum numbers. The counting can be done by computing a partition function, known as the Hilbert series, which counts all holomorphic gauge invariant operators carrying a speci ed set of global U(1) charges. The Hilbert series can be computed exactly for various gauge theories. In Part I of this thesis, we compute the Hilbert series of four dimensional N = 1 supersymmetric QCD with classical gauge groups. In part II, we count chiral operators on the one instanton moduli space on R4 and study the hypermultiplet moduli spaces of a large class of N = 2 supersymmetric gauge theories in four dimensions. We demonstrate that the Hilbert series not only contains information about the spectrum of operators in the theory, but it also carries geometrical properties of the moduli space, e.g. the dimension. It is also an indicator of whether the moduli space is Calabi-Yau. Moreover, Hilbert series can be used as a primary tool to test various dualities in gauge theories and in string theory.
Supervisor: Hanany, Amihay Sponsor: DPST ; Royal Thai Government
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral