{"id":{"repo_id":"texas","oai_identifier":"oai:repositories.lib.utexas.edu:2152/31583"},"canonical_url":"https://search.dev.ndltd.org/etd/texas/oai:repositories.lib.utexas.edu:2152/31583","repository":{"repo_id":"texas","name":"University of Texas","base_url":"https://repositories.lib.utexas.edu/server/oai/request"},"display":{"title":"Twisted and exceptional Tinkertoys for Gaiotto duality","abstract":"A large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving the rules for gluing them together. Different pants decompositions of the same surface give different weakly-coupled presentations of the same underlying SCFT, related by S-duality. An even larger class of theories can be constructed in this way by including "twisted" punctures, which carry a non-trivial action of the outer-automorphism group of j. In this dissertation, we discuss the classification procedure for twisted theories of type D [subscript N] , as well as for twisted and untwisted theories of type E₆. Using these results, we write the Seiberg-Witten solutions for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood.","abstract_html":"A large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving the rules for gluing them together. Different pants decompositions of the same surface give different weakly-coupled presentations of the same underlying SCFT, related by S-duality. An even larger class of theories can be constructed in this way by including "twisted" punctures, which carry a non-trivial action of the outer-automorphism group of j. In this dissertation, we discuss the classification procedure for twisted theories of type D [subscript N] , as well as for twisted and untwisted theories of type E₆. Using these results, we write the Seiberg-Witten solutions for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood.","abstract_has_math":false,"creators":["Trimm, Anderson Daniel"],"institution":"The University of Texas at Austin","degree_name":"Doctor of Philosophy","degree_level":"Doctoral","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":[],"advisors":["Distler, Jacques"],"committee_chairs":[],"committee_members":["Kaplunovsky, Vadim","Neitzke, Andrew","Paban, Sonia","Kilic, Can"],"year":2015,"date_issued":"2015-05","date_published":"2015-05","updated_at":"2026-07-24T05:00:56Z","subjects":["SCFT","S-duality"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["doi:10.15781/T26K62"],"render_values":[{"text":"doi:10.15781/T26K62","href":"https://doi.org/10.15781/T26K62","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2152/31583","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Distler, Jacques"]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Kaplunovsky, Vadim","Neitzke, Andrew","Paban, Sonia","Kilic, Can"]},{"key":"dc:creator","label":"Author","values":["Trimm, Anderson Daniel"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2015-10-07T22:41:43Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2015-10-07T22:41:43Z"]},{"key":"dc:date.issued","label":"Date","values":["2015-05"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["The University of Texas at Austin"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["SCFT","S-duality"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["doi:10.15781/T26K62"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/2152/31583"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["text"]},{"key":"dc:description.abstract","label":"Abstract","values":["A large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving the rules for gluing them together. Different pants decompositions of the same surface give different weakly-coupled presentations of the same underlying SCFT, related by S-duality. An even larger class of theories can be constructed in this way by including "twisted" punctures, which carry a non-trivial action of the outer-automorphism group of j. In this dissertation, we discuss the classification procedure for twisted theories of type D [subscript N] , as well as for twisted and untwisted theories of type E₆. Using these results, we write the Seiberg-Witten solutions for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Twisted and exceptional Tinkertoys for Gaiotto duality"]}]}],"canonical_facts":{"dc:contributor.advisor":["Distler, Jacques"],"dc:contributor.committeemember":["Kaplunovsky, Vadim","Neitzke, Andrew","Paban, Sonia","Kilic, Can"],"dc:creator":["Trimm, Anderson Daniel"],"dc:date.accessioned":["2015-10-07T22:41:43Z"],"dc:date.available":["2015-10-07T22:41:43Z"],"dc:date.issued":["2015-05"],"dc:description":["text"],"dc:description.abstract":["A large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving the rules for gluing them together. Different pants decompositions of the same surface give different weakly-coupled presentations of the same underlying SCFT, related by S-duality. An even larger class of theories can be constructed in this way by including "twisted" punctures, which carry a non-trivial action of the outer-automorphism group of j. In this dissertation, we discuss the classification procedure for twisted theories of type D [subscript N] , as well as for twisted and untwisted theories of type E₆. Using these results, we write the Seiberg-Witten solutions for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood."],"dc:format.mimetype":["application/pdf"],"dc:identifier":["doi:10.15781/T26K62"],"dc:identifier.uri":["http://hdl.handle.net/2152/31583"],"dc:language.iso":["en"],"dc:subject":["SCFT","S-duality"],"dc:title":["Twisted and exceptional Tinkertoys for Gaiotto duality"],"dc:type":["Thesis"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["Doctor of Philosophy"],"thesis:institution_name":["The University of Texas at Austin"]},"updated_at":"2026-07-24T05:00:56Z"}