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
Description
Summary: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.

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