Abstract We modify the calculation of quarkonium masses using radial WKB and Pekeris-type approximations for case three-dimensional, rotationally invariant non-commutative space. obtain corrections to charmonium ( $${\text {c}}\bar{{\text {c}}}$$ c ¯ ...

Noncommutative (deformed, quantum) spaces are deformations of the usual commutative space-time. They depend on parameters, such that for certain values of parameters they become the usual space-time. The symmetry acting on them is given in terms of a deformed quantum group symmetry. In this work we discuss two special examples, the θ-deformed space and the κ-deformed space. In the case of the θ...

We show that the moduli space of the (2, 0) and little-string theories compactified on T 3 with R-symmetry twists is equal to the moduli space of U(1) instantons on a noncommutative T . The moduli space of U(q) instantons on a non-commutative T 4 is obtained from little-string theories of NS5-branes at Aq−1 singularities with twists. A large class of gauge theories with N = 4 SUSY in 2+1D and N...

Given a collection P = {p1(x1, . . . , x2k2), . . . , pk2(x1, . . . , x2k2)} of k commutative polynomials in 2k variables, the objective is to find a condensed representation for these polynomials in terms of a single non-commutative polynomial p(X,Y ) in two k × k matrix variables X and Y . Algorithms that will generically determine whether the given family P has a non-commutative representati...

Article history: Received 24 April 2015 Received in revised form 9 June 2015 Accepted 11 June 2015 Available online 16 June 2015 Editor: M. Trodden We study inflation on a non-commutative space–time within the framework of enveloping algebra approach which allows for a consistent formulation of general relativity and of the standard model of particle physics. We show that within this framework,...