Introduction to doubly special relativity
TLDR
In this paper, the relation between Doubly Special Relativity and quantum gravity, the formal structure of DSR proposal based on Poincar\'e algebra and non-commutative Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.Abstract:
In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of DSR proposal based on $\kappa$-Poincar\'e algebra and non-commutative $\kappa$-Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.read more
Citations
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Ponzano-Regge model revisited: III. Feynman diagrams and effective field theory
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References
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Quantized Space-Time
TL;DR: In this article, the authors give an example of a Lorentz invariant discrete space-time, which is not required by the assumption that space time is a continuous space, and show that it is possible to construct a discrete space time with Lorentzi invariance.
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Introduction to Quantum Groups
TL;DR: In this article, Kashiwara's Operators in Rank 1 were studied and the Canonical Topological Basis of U+ and Inner Product on U+ was described.
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Theory of group representations and applications
A. O. Barut,Ryszard Raczka +1 more
TL;DR: The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder as discussed by the authors, and is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.
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Elements of the theory of representations
TL;DR: In this article, the authors present an extension of the notion of C*-Algebras for topological groups, which is a generalization of the concept of finite groups.
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Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale
TL;DR: In this paper, it was shown that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of spacetimes whose short-distance structure is governed by an observer-independent length scale.
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