673 citations · 3.6k across the 100 of their papers we have counts for
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Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
M. Chaichian, M. Oksanen, A. Tureanu +1
Einstein's Theory of General Relativity was formulated as a gauge theory of Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational theory was formulated by Ki…
Noncommutative Quantum Field Theory: A Confrontation of Symmetries
M. Chaichian, K. Nishijima, T. Salminen +1
The concept of a noncommutative field is formulated based on the interplay between twisted Poincaré symmetry and residual symmetry of the Lorentz group. Various general dynamical r…
Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
Masud Chaichian, Miklos Långvik, Shin Sasaki +1
The gauge covariance of the wave function phase factor in noncommutative quantum mechanics (NCQM) is discussed. We show that the naive path integral formulation and an approach whe…
From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation
B. Aneva, M. Chaichian, P. P. Kulish
Within the quantum affine algebra representation theory we construct linear covariant operators that generate the Askey-Wilson algebra. It has the property of a coideal subalgebra,…