Type
Text
Type
Thesis
Advisor
Leonardo Rastelli | Martin Rocek. | Paul D. Grannis.
Date
2011-08-01
Keywords
Generalized Geometry, Generalized Potential, Hyperkahler, Semichiral, Sigma Model, Twistor | Physics -- Mathematics
Department
Department of Physics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/71590
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
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.
Recommended Citation
Dyckmanns, Malte, "A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds" (2011). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 795.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/795