Chiral Rings of Two-dimensional Field Theories with (0,2) Supersymmetry
| dc.contributor.author | Guo, Jirui | en |
| dc.contributor.committeechair | Sharpe, Eric R. | en |
| dc.contributor.committeemember | Anderson, Lara B. | en |
| dc.contributor.committeemember | Huber, Patrick | en |
| dc.contributor.committeemember | Piilonen, Leo E. | en |
| dc.contributor.department | Physics | en |
| dc.date.accessioned | 2017-04-27T08:00:38Z | en |
| dc.date.available | 2017-04-27T08:00:38Z | en |
| dc.date.issued | 2017-04-26 | en |
| dc.description.abstract | This thesis is devoted to a thorough study of chiral rings in two-dimensional (0,2) theories. We first discuss properties of chiral operators in general two-dimensional (0,2) nonlinear sigma models, both in theories twistable to the A/2 or B/2 model, as well as in non-twistable theories. As a special case, we study the quantum sheaf cohomology of Grassmannians as a deformation of the usual quantum cohomology. The deformation corresponds to a (0,2) deformation of the nonabelian gauged linear sigma model whose geometric phase is associated with the Grassmannian. Combined with the classical result, the quantum ring structure is derived from the one-loop effective potential. Supersymmetric localization is also applicable in this case, which proves to be efficient in computing A/2 correlation functions. We then compute chiral operators in general (0,2) nonlinear sigma models, and apply them to the Gadde-Gukov-Putrov triality proposal, which says that certain triples of (0,2) GLSMs should RG flow to nontrivial IR fixed points. As another application, we extend previous works to construct (0,2) Toda-like mirrors to the sigma model engineering Grassmannians. | en |
| dc.description.degree | Ph. D. | en |
| dc.format.medium | ETD | en |
| dc.identifier.other | vt_gsexam:10735 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/77530 | en |
| dc.publisher | Virginia Tech | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | Chiral Ring | en |
| dc.subject | Nonlinear Sigma Model | en |
| dc.subject | Gauged Linear Sigma Model | en |
| dc.subject | (0,2) Supersymmetry | en |
| dc.subject | Grassmannian | en |
| dc.subject | Triality | en |
| dc.title | Chiral Rings of Two-dimensional Field Theories with (0,2) Supersymmetry | en |
| dc.type | Dissertation | en |
| thesis.degree.discipline | Physics | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | doctoral | en |
| thesis.degree.name | Ph. D. | en |
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