Geometry of Poisson-Lie T-duality
Geometrie Poisson-Lieovy T-duality
diploma thesis (DEFENDED)
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Permanent link
http://hdl.handle.net/20.500.11956/107623Identifiers
Study Information System: 213256
Collections
- Kvalifikační práce [10690]
Author
Advisor
Consultant
Vysoký, Jan
Referee
Deser, Andreas
Faculty / Institute
Faculty of Mathematics and Physics
Discipline
Mathematical structures
Department
Mathematical Institute of Charles University
Date of defense
18. 6. 2019
Publisher
Univerzita Karlova, Matematicko-fyzikální fakultaLanguage
English
Grade
Excellent
V této práci se zabýváme geometrií Poisson-Lieovy T-duality. Nejprve zavedeme Lieovy a Courantovy algebroidy a zobecněné metriky na nich. Poté použijeme Diracovy struktury a zobecněné izometrie k formulaci obecné verze Poisson-Lieovy T-duality, neabelovské verze T- duality, známé z teorie strun.
In this thesis we study geometry of Poisson-Lie T-duality. We develop the language of Lie and Courant algebroids and study generalized metrics on them. Then we use Dirac structures and generalized isometries to formulate a general version of Poisson-Lie T-duality, a non-abelian version of T-duality, known from string theory.