| dc.identifier.uri | http://hdl.handle.net/11401/76690 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | In this dissertation we study various aspects of Supersymmetric Quantum Field Theory and Complex Geometry. We focus on three main aspects. The first is general N=(2,2) gauged linear sigma models involving semichiral fields. We show that integrating out the semichiral vector multiplet leads to the generalized potential for a hyperkahler manifold, providing a formulation of the hyperkahler quotient in a generalized setting. We then discuss a new quotient construction which leads to non-Kahler manifolds. The second problem we study is motivated by recent developments in the study of the Coulomb branch of supersymmetric theories with a hyperkahler moduli space. A crucial element in these developments is the expression for Darboux coordinates in the hyperkahler manifold. We give a simple derivation of this expression by using projective superspace techniques and we apply this to the study of the moduli space of theories with eight supercharges on R^3 x S^1 and R^3 x T^2. Finally, we study the partition function of three-dimensional Chern-Simons theories on S^3 with affine ADE quivers. We give a general formula for the partition function of affine D-type quivers in terms of the Chern-Simons levels, providing a prediction for the volume of an infinite family of tri-Sasaki Einstein manifolds corresponding to the gravitational duals of such field theories. | |
| dcterms.available | 2017-09-20T16:51:00Z | |
| dcterms.contributor | Rocek, Martin | en_US |
| dcterms.contributor | van Nieuwenhuizen, Peter | en_US |
| dcterms.contributor | Herzog, Christopher | en_US |
| dcterms.contributor | Hemmick, Thomas | en_US |
| dcterms.contributor | Lawson, Blaine. | en_US |
| dcterms.creator | Crichigno, Patricio Marcos | |
| dcterms.dateAccepted | 2017-09-20T16:51:00Z | |
| dcterms.dateSubmitted | 2017-09-20T16:51:00Z | |
| dcterms.description | Department of Physics. | en_US |
| dcterms.extent | 148 pg. | en_US |
| dcterms.format | Monograph | |
| dcterms.format | Application/PDF | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/76690 | |
| dcterms.issued | 2013-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:51:00Z (GMT). No. of bitstreams: 1
Crichigno_grad.sunysb_0771E_11530.pdf: 1174593 bytes, checksum: d7adf83264b9b7a29e9aaeda8986eb14 (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Complex Geometry, Quantum Field Theory, Supersymmetry | |
| dcterms.subject | Physics | |
| dcterms.title | Aspects of Supersymmetric Field Theories and Complex Geometry | |
| dcterms.type | Dissertation | |
