DATE: |
2010-06-14 16:00 - 17:00 |
PLACE: |
Kenkyu Honkan 1F Meeting Room 1 |
TITLE: |
Noncommutative Gravity with Torsion and Vortex Solitons |
CONTACT: |
KIMURA Tetsuji, tetsuji AT post.kek.jp |
SPEAKER: |
Dr. Mohab Abou-Zeid (Leibniz University Hannover) |
LANGUAGE: |
English |
ABSTRACT: |
A Lorentzian theory of noncommutative gravity with torsion coupled to U(1)¡ú Chern-Simons gauge fields and charged matter is investigated. The construction is a generalisation of the well-known relationship between three-dimensional gravity and Chern-Simons theory and it can be viewed as a toy model for a noncommutative deformation of the U(2) ¡ß U(2) Aharony-Bergman-Jafferis-Maldacena model. Utilising the Harvey-Kraus-Larsen solution-generating technique, BPS solutions of the field equations are constructed which are exact for all values of the noncommutativity parameter ¦È, regular for ¦È ¡â 0 and singular in the limit ¦È ¢ª 0. The gravitational interpretation of the solutions is discussed. |