Notes on Some (0,2) Supersymmetric Theories in Two Dimensions

dc.contributor.authorWu, Ruoxuen
dc.contributor.committeechairSharpe, Eric R.en
dc.contributor.committeememberPiilonen, Leo E.en
dc.contributor.committeememberHuber, Patricken
dc.contributor.committeememberPleimling, Michel J.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2017-06-06T08:01:31Zen
dc.date.available2017-06-06T08:01:31Zen
dc.date.issued2017-06-05en
dc.description.abstractThis thesis is devoted to a discussion of two-dimensional theories with (0,2) supersymmetry. Examples of two-dimensional (0,2) gauged linear sigma models (GLSMs) are constructed for various spaces including Grassmannians, complete intersections in Grassmannians, and non-complete intersections such as Pfaffians. Generalizations of (2,2) Toda dual theories to (0,2) Toda-like theories are also discussed and some examples are given, including products of projective spaces and del Pezzo surfaces. Correlation functions are computed to show the examples are the correct mirror models.en
dc.description.abstractgeneralThis thesis is devoted to a discussion in a specific branch of string theory in particle physics. String theory is a model of elementary particles, which are currently described by a theory called the Standard Model. String theory is a more fundamental theory than the Standard Model in two ways: it incorporates general relativity, <i>i.e.</i>, the theory of gravity; and it is a ultraviolet theory of the Standard Model, or equivalently, the Standard model is seen as a low energy approximation of string theory. This thesis is concerned with the quantum mechanics of string theory, described by quantum field theory along a two-dimensional worldsheet swept out by a one-dimensional string as it propagates in time. Specifically, this thesis explores examples of two-dimensional worldsheet theories with a technical property known as (0,2) supersymmetry.en
dc.description.degreePh. D.en
dc.format.mediumETDen
dc.identifier.othervt_gsexam:11425en
dc.identifier.urihttp://hdl.handle.net/10919/77921en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSupersymmetryen
dc.subjectMirror Symmetryen
dc.subjectTopological Field Theoryen
dc.subjectString Compactificationen
dc.titleNotes on Some (0,2) Supersymmetric Theories in Two Dimensionsen
dc.typeDissertationen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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