Theories on noncommutative spaces and deformed symmetries
arXiv:1006.1039
Abstract
In this thesis we study different aspects of noncommutativity in quantum mechanics, field theory and gravity. We give particular emphasis on the underlying symmetries of these theories. Deformations of usual symmetries like the external space time symmetries and the internal gauge symmetry in noncommutative theories are analyzed in detail.
Ph.D. thesis. Supervisor: Prof. Rabin Banerjee. Submitted on 07.07.2008 at Jadavpur University, Kolkata, India
References in corpus (17)
- A Gravity Theory on Noncommutative Spaces
- Minimal Length Uncertainty Relation and gravitational quantum well
- Noncommutative Gravity
- Twisted Gauge Theories
- Second Order Noncommutative Corrections to Gravity
- A note on the noncommutative correction to gravity
- Lie algebraic Noncommutative Gravity
- Remarks on the Noncommutative Gravitational Quantum Well
- Twist Symmetry and Gauge Invariance
- Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
- Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
- Gauge Generators, Transformations and Identities on a Noncommutative Space
- Three lectures on noncommutative field theories
- Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces
- Noncommutative relativistic particle
- The Parametrized Relativistic Particle and the Snyder space-time
- Constraint on Quantum Gravitational Well in Noncommutative Space