banca dati delle tesi e dissertazioni accademiche elettroniche
Università di Pisa
Sistema bibliotecario di ateneo
Tesi etd-03292011-184055
Condividi questa tesi:

Tipo di tesi Tesi di dottorato di ricerca
Autore JIANG, YUN-GUO
Indirizzo email jiang@df.unipi.it
URN etd-03292011-184055
Titolo Dynamics aspects of non-Abelian vortices
Settore scientifico disciplinare FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
Corso di studi FISICA
Commissione
Nome Commissario Qualifica
Prof. Kenichi Konishi tutor
Parole chiave
• supersymmetry
• sigma model
• monopole
• duality
• confinement
• vortex
Data inizio appello 2011-04-14
Disponibilità unrestricted
Riassunto analitico
This thesis is to investigate the moduli spaces and the low-energy effective theories of the BPS non-Abelian vortices in supersymmetric gauge theories with $U(1)\times SU(N)$, $U(1)\times SO(2M)$, $U(1) \times SO(2M+1)$ and $U(1)\times USp(2M)$ gauge groups. The Goddard-Nuyts-Olive-Weinberg (GNOW) dual group emerges from the transformation properties of the vortex solutions under the original, exact global symmetry group acting on the fields of the theory in the color-flavor locking phase.
The moduli spaces of the vortices turn out to
have the structure of those of quantum states, with sub-moduli corresponding to various
irreducible representations of the GNOW dual group of the color-flavor group.
We explicitly construct the vortex effective world-sheet action forvarious groups and winding numbers, representing the long-distance
fluctuations of the non-Abelian orientational moduli parameters. They are found to be two-dimensional sigma models living on appropriate coset spaces, depending on the gauge group, global symmetry, and on the winding number.

The mass-deformed sigma models are then constructed from the vortex solutions in
the corresponding unequal-mass theories, and they are found to agree with the two-dimensional models obtained from the Scherk-Schwarz dimensional reduction. The moduli spaces of higher-winding BPS non-Abelian vortices in $U(N)$ theory are also investigated by using the K\"ahler quotient construction, which clarifies considerably the group-theoretic properties of the multiply-wound
non-Abelian vortices. Certain orbits, corresponding to irreducible representations are identified; they are associated with the corresponding Young tableau.
File
Nome file       Dimensione       Tempo di download stimato (Ore:Minuti:Secondi)

28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)    piu' di 128 Kb
CDocuments_and_SettingsAdministratorYunguoJiangThesis.pdf 1.12 Mb 00:05:10 00:02:39 00:02:19 00:01:09 00:00:05
Contatta l'autore