Type
Text
Type
Dissertation
Advisor
Rocek, Martin | Peter van Nieuwenhuizen | Leonardo Rastelli | Paul Grannis | Leon Takhtajan.
Date
2010-08-01
Keywords
Generalized complex geometry, superspace | Physics, Elementary Particles and High Energy
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/11401/72657
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
N=(2,2) supersymmetric models are of interest for mathematicians and physicists and have been used extensively as a tool for the investigation of Kaehler geometry. It is convenient to formulate and manipulate these in superspace which captures their main properties such as their full bihermitian structure. This also led to recent developments in differential geometry where these targets are characterized using structures that interpolate between complex and symplectic geometry and are defined on the sum T+T. .The research work that will be presented here extends the set of known superspace tools for the manipulation of bihermitian / generalized Kaehler geometries, namely, the gauging of isometries along directions that mix chiral and twistedchiral or semichiral multiplets. Other results that will be presented relate to possible N=(4,4) supersymmetry in semichiral models and sigma models formulation on the sum T+T. .
Recommended Citation
Ryb, Itai, "Generalized isometries in superspace" (2010). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 1860.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/1860