A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds

We consider generalized Kahler structures (g,J_+,J_-) on a hyperkahler manifold (M,g,I,J,K), where we use the twistor space of M to choose J_+ and J_-. Relating semi-chiral to arctic superfields, we can determine the generalized Kahler potential for hyperkahler manifolds whose description in project...

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Bibliographic Details
Main Author: Dyckmanns, Malte
Other Authors: Department of Physics
Format: Thesis
Language:English
Published: The Graduate School, Stony Brook University: Stony Brook, NY.
Subjects:
Physics > Mathematics
Generalized Geometry
Generalized Potential
Hyperkahler
Semichiral
Sigma Model
Twistor
Arctic
Online Access:http://hdl.handle.net/1951/55989
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spelling ftstateuny:oai:dspace.sunyconnect.suny.edu:1951/55989 2023-05-15T15:00:17+02:00 A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds Dyckmanns, Malte Department of Physics 1-Aug-11 Electronic Resource application/pdf http://hdl.handle.net/1951/55989 en_US eng The Graduate School, Stony Brook University: Stony Brook, NY. Dyckmanns_grad.sunysb_0771M_10628.pdf http://hdl.handle.net/1951/55989 Physics -- Mathematics Generalized Geometry Generalized Potential Hyperkahler Semichiral Sigma Model Twistor Thesis ftstateuny 2021-03-08T12:03:00Z We consider generalized Kahler structures (g,J_+,J_-) on a hyperkahler manifold (M,g,I,J,K), where we use the twistor space of M to choose J_+ and J_-. Relating semi-chiral to arctic superfields, we can determine the generalized Kahler potential for hyperkahler manifolds whose description in projective superspace is known. This is used to determine an S2-family of generalized Kahler potentials for Euclidean space and for the Eguchi-Hanson geometry. Stony Brook University Libraries. SBU Graduate School in Department of Physics. Lawrence Martin (Dean of Graduate School). Advisor(s): Martin Rocek. Committee Member(s): Leonardo Rastelli; Paul D. Grannis. Thesis Arctic The State University of New York: SUNY Digital Repository Arctic
institution Open Polar
collection The State University of New York: SUNY Digital Repository
op_collection_id ftstateuny
language English
topic Physics -- Mathematics
Generalized Geometry
Generalized Potential
Hyperkahler
Semichiral
Sigma Model
Twistor
spellingShingle Physics -- Mathematics
Generalized Geometry
Generalized Potential
Hyperkahler
Semichiral
Sigma Model
Twistor
Dyckmanns, Malte
A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds
topic_facet Physics -- Mathematics
Generalized Geometry
Generalized Potential
Hyperkahler
Semichiral
Sigma Model
Twistor
description We consider generalized Kahler structures (g,J_+,J_-) on a hyperkahler manifold (M,g,I,J,K), where we use the twistor space of M to choose J_+ and J_-. Relating semi-chiral to arctic superfields, we can determine the generalized Kahler potential for hyperkahler manifolds whose description in projective superspace is known. This is used to determine an S2-family of generalized Kahler potentials for Euclidean space and for the Eguchi-Hanson geometry. Stony Brook University Libraries. SBU Graduate School in Department of Physics. Lawrence Martin (Dean of Graduate School). Advisor(s): Martin Rocek. Committee Member(s): Leonardo Rastelli; Paul D. Grannis.
author2 Department of Physics
format Thesis
author Dyckmanns, Malte
author_facet Dyckmanns, Malte
author_sort Dyckmanns, Malte
title A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds
title_short A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds
title_full A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds
title_fullStr A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds
title_full_unstemmed A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds
title_sort twistor-sphere of generalized kahler potentials on hyperkahler manifolds
publisher The Graduate School, Stony Brook University: Stony Brook, NY.
publishDate
url http://hdl.handle.net/1951/55989
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_relation Dyckmanns_grad.sunysb_0771M_10628.pdf
http://hdl.handle.net/1951/55989
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