{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80568"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80568","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Aspects of Topological Sigma Models","abstract":"The main results summarized in this thesis are contained in part two. We describe an algorithm to compute correlation functions in the topological subsector of certain N = (0, 2) nonlinear sigma models1 is. Additionally, A-twisted Landau-Ginzburg models---twisted nonlinear sigma models with superpotentials---are analyzed and related via renormalization group flow to correlation functions in topological conformal field theories. In particular, the methods may well shed light on the somewhat mysterious origin of operators corresponding to non-toric Kahler deformations---operators that arise in topological nonlinear sigma models comprising the IR limit of gauged linear sigma models. We also provide an application of the A-twisted Landau-Ginzburg model to the understanding of A models with supermanifold target spaces.","abstract_html":"The main results summarized in this thesis are contained in part two. We describe an algorithm to compute correlation functions in the topological subsector of certain N = (0, 2) nonlinear sigma models1 is. Additionally, A-twisted Landau-Ginzburg models---twisted nonlinear sigma models with superpotentials---are analyzed and related via renormalization group flow to correlation functions in topological conformal field theories. In particular, the methods may well shed light on the somewhat mysterious origin of operators corresponding to non-toric Kahler deformations---operators that arise in topological nonlinear sigma models comprising the IR limit of gauged linear sigma models. We also provide an application of the A-twisted Landau-Ginzburg model to the understanding of A models with supermanifold target spaces.","abstract_has_math":false,"creators":["Guffin, Joshua"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Robert Leigh"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:06Z","date_published":"2015-09-25T20:03:06Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Theory"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3314781"],"render_values":[{"text":"(MiAaPQ)AAI3314781","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80568","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Robert Leigh"]},{"key":"dc:creator","label":"Author","values":["Guffin, Joshua"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:06Z","10000-01-01","2008"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80568","(MiAaPQ)AAI3314781"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The main results summarized in this thesis are contained in part two. We describe an algorithm to compute correlation functions in the topological subsector of certain N = (0, 2) nonlinear sigma models1 is. Additionally, A-twisted Landau-Ginzburg models---twisted nonlinear sigma models with superpotentials---are analyzed and related via renormalization group flow to correlation functions in topological conformal field theories. In particular, the methods may well shed light on the somewhat mysterious origin of operators corresponding to non-toric Kahler deformations---operators that arise in topological nonlinear sigma models comprising the IR limit of gauged linear sigma models. We also provide an application of the A-twisted Landau-Ginzburg model to the understanding of A models with supermanifold target spaces.","Made available in DSpace on 2015-09-25T20:03:06Z (GMT). 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Additionally, A-twisted Landau-Ginzburg models---twisted nonlinear sigma models with superpotentials---are analyzed and related via renormalization group flow to correlation functions in topological conformal field theories. In particular, the methods may well shed light on the somewhat mysterious origin of operators corresponding to non-toric Kahler deformations---operators that arise in topological nonlinear sigma models comprising the IR limit of gauged linear sigma models. We also provide an application of the A-twisted Landau-Ginzburg model to the understanding of A models with supermanifold target spaces.","Made available in DSpace on 2015-09-25T20:03:06Z (GMT). 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