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 eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Physics, 774
• Subjects: Physics.; Group theory.; Quantum physics.; Mathematical Methods in Physics.; Group Theory and Generalizations.; Quantum Physics.

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:

• Deformed Field Theory: Physical Aspects
• Differential Calculus and Gauge Transformations on a Deformed Space
• Deformed Gauge Theories
• Einstein Gravity on Deformed Spaces
• Deformed Gauge Theory: Twist Versus Seiberg#x2013;Witten Approach
• Another Example of Noncommutative Spaces: #x03BA;-Deformed Space
• Noncommutative Geometries: Foundations and Applications
• Noncommutative Spaces
• Quantum Groups, Quantum Lie Algebras, and Twists
• Noncommutative Symmetries and Gravity
• Twist Deformations of Quantum Integrable Spin Chains
• The Noncommutative Geometry of Julius Wess.