Noncommutative Spacetimes Symmetries in Noncommutative Geometry and Field Theory /

• Main Authors: Aschieri, Paolo. (Author), Dimitrijevic, Marija. (Author), Kulish, Petr. (Author), Lizzi, Fedele. (Author), Wess, Julius. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Physics, 774
• Subjects: Physics.; Group theory.; Quantum theory.; Mathematical physics.; Mathematical Methods in Physics.; Group Theory and Generalizations.; Quantum Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-89793-4

There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups. The aim of th...

Table of Contents:

• Differential Calculus and Gauge Transformations on a Deformed Space
• Deformed Gauge Theories
• Einstein Gravity on Deformed Spaces
• Deformed Gauge Theory: Twist Versus Seiberg-Witten Approach
• Another Example of Noncommutative Spaces: K-Deformed Space
• Noncommutative Spaces
• Quantum Groups, Quantum Lie Algebras and Twists
• Noncommutative Symmetries and Gravity
• Twist Deformation of Quantum Integrable Spin Chains
• Julius Wess Noncommutative Geometry
• Index.