Considering space--time to be non-commutative, we study the evolution of universe employing approach Newtonian cosmology. Generalizing conservation energy and first law thermodynamics $\kappa$-deformed space--time, derive modified Friedmann equations, valid up order, in deformation parameter. Analyzing these deformed time scale factor cases radiation-dominated, matter-dominated, vacuum (energy)...

We consider field theory on non-commutative superspace and non-commutative spacetime that arises on D-branes in Type II superstring theory in constant self-dual graviphoton and NS-NS B field background. N = 1 supersymmetric field theories on this noncommutative space ( these theories are called N = 1/2 supersymmetric theory ) can be reduced to supermatrix models as in hep-th/0303210 [1]. We tak...

The aim of this notes is to provide basic information about commutative Banach algebras. The final goal is to show that a unital, commutative complex Banach algebra A can be embedded as subalgebra of C(MA), the algebra of continuous functions on a w∗-compact setMA, known as the maximal ideal space or character space. Also, the non unital commutative complex Banach algebra can be embedded as a s...

In the papers [La 5,6], we introduced the notion of (non-commutative) phase algebras (space) Phn(A), n = 0, 1, ...,∞ associated to any associative algebra A (space), defined over a field k. The purpose of this paper is to prove that this construction is useful in non-commutative deformation theory for the construction of the versal family of families of modules, see [La 4]. In particular we obt...

Covariant quantization of the Nambu-Goto spinning particle in 2+1-dimensions is studied. The model is relevant in the context of recent activities in non-commutative space-time. From a technical point of view also covariant quantization of the model poses an interesting problem: the set of second class constraints (in the Dirac classification scheme) is reducible. The reducibil-ity problem is a...

The cohomology groups of line bundles over complex tori (or abelian varieties) are classically studied invariants of these spaces. In this article, we compute the cohomology groups of line bundles over various holomorphic, non-commutative deformations of complex tori. Our analysis interpolates between two extreme cases. The first case is a calculation of the space of (cohomological) theta funct...

Yi Yang Department of Electrophysics, National Chiao Tung University, Hsinchu, Taiwan. (Dated: June 5, 2005) Abstract We use semiclassical methods to study closed strings in the modified AdS5×S background with constant B fields. The point-like closed strings and the stretched closed strings rotating around the big circle of S5 are considered. Quantization of these closed string leads to a time-...

We conjecture the existence of two new non-gravitational six-dimensional string theories, defined as the decoupling limit of NS5-branes in the background of critical electrical twoand three-form RR fields. These theories are spacetime non-commutative Little String Theories with open branes. The theory with (2, 0) supersymmetry has an open membrane in the spectrum and reduces to OM theory at low...

We present an operator space version of Rieffel’s theorem on the agreement of the metric topology, on a subset of the Banach space dual of a normed space, from a seminorm with the weak*-topology. As an application we obtain a necessary and sufficient condition for the matrix metric from an unbounded Fredholm module to give the BW-topology on the matrix state space of the C-algebra. Motivated by...

In this letter we propose a possible mechanism of leftand right-handed neutrino couplings to photons, which arises quite naturally in non-commutative gauge field theory. We estimate the predicted additional energy-loss in stars induced by space-time non-commutativity. The usual requirement that any new energy-loss mechanism in globular stellar clusters should not excessively exceed the standard...