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Two-dimensional models of quantum field theory and quantum gravity
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Banerjee, Anindya. Two-dimensional models of quantum field theory and quantum gravity. Retrieved from https://doi.org/doi:10.7282/t3-d7q3-9z43

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TitleTwo-dimensional models of quantum field theory and quantum gravity
NameBanerjee, Anindya (author); Moore, Gregory (chair); Friedan, Daniel (member); Andrei, Natan (member); Goldin, Gerald (member); Ramgoolam, Sanjaye (member); Rutgers University; School of Graduate Studies
Date Created2022
Other Date2022-10 (degree)
SubjectPhysics, 2d Yang-Mills, Hyperkahler isometry, K3 surfaces, String theory, Topological field theory, Two-dimensional gravity
Extent1 online resource (221 pages) : illustrations
DescriptionWe study two-dimensional models of quantum gravity from different perspectives. In the first half, we study a class of toy models that are meant to understand gravitational path integrals in low dimensions. Our work will lead to a new construction in two-dimensional topological field theories. We then generalize beyond topological field theories and recover this new construction in more general two-dimensional theories like Yang-Mills. We study the role of symmetries in these models. In the second half, we study toy models inspired by string theory, a top down model of quantum gravity. We study K3 surfaces, an important manifold for constructing string compactifications that are amenable to exact analysis. We study some exact results in this class of theories, and give a complete list of hyperkähler isometries of K3 manifolds that are realized in the moduli space of such geometries.
NotePh.D.
NoteIncludes bibliographical references
Genretheses
Persistent URLhttps://doi.org/doi:10.7282/t3-d7q3-9z43
LanguageEnglish
CollectionSchool of Graduate Studies Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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