We introduce a new set of noncommutative space-time commutation relations in two space dimensions. The space-space commutation relations are deformations of the standard flat noncommutative space-time relations taken here to have position dependent structure constants. Some of the new variables are non-Hermitian in the most natural choice. We construct their Hermitian counterparts by means of a...

We consider a two-point spatial lattice approximation to an open string moving in a flat background with B field. It gives a constrained dipole system under the influence of a vector potential. Solving and quantizing this system recover all the essential features of a noncommutative space. In particular, open string interactions induce a canonical product structure on the Hilbert space of the d...

We study the dynamics of an open membrane with a cylindrical topology, in the background of a constant three form, whose boundary is attached to p-branes. The boundary closed string is coupled to a two form potential to ensure gauge invariance. We use the action, due to Bergshoeff, London and Townsend, to study the noncommutativity properties of the boundary string coordinates. The constrained ...

In this paper we will consider noncommutativity that arises from bosonic T-dualization of type II superstring in presence Ramond-Ramond (RR) field, which linearly depends on the coordinates x ? $x^\mu$ . The derivative RR field C ? ? $C^{\alpha \beta }_\mu$ is infinitesimal. We employ generalized Buscher procedure can be applied to cases have coordinate dependent background fields. Bosonic part...

We apply the Dirac bracket quantization to open strings attached to branes in the presence of background antisymmetric field and recover an inherent noncommutativity in the internal coordinates of the brane. 1 E-mail: ardalan, arfaei, [email protected]

The consequences of noncommutativity of space coordinates of string theory in the proposed large extra dimension solution to the hierarchy problem are explored; in particular the large dimension stabilization and the graviton reabsorption in the brane are considered. [email protected]

Let R be a ring, Z its center, and D the set of zero divisors. For finite noncommutative rings, it is known that D\Z = ∅. We investigate the size of |D\Z| in this case and, also, in the case of infinite noncommutative rings with D\Z = ∅.

We show that an anomaly-free description of matter in (1+1) dimensions requires a deformation of the 2d relativity principle, which introduces a non-trivial center in the 2d Poincaré algebra. Then we work out the reduced phase-space of the anomaly-free 2d relativistic particle, in order to show that it lives in a noncommutative 2d Minkowski space. Moreover, we build a Gaussian wave packet to sh...

We explore the consequences of time-space noncommutativity in the quantum mechanics of atoms and molecules, focusing on the Moyal plane with just time-space noncommutativity ([x̂μ, x̂ν ] = iθμν , θ0i ≡/ 0, θij = 0). Space rotations and parity are not automorphisms of this algebra and are not symmetries of quantum physics. Still, the spectral degeneracies of a time-independent Hamiltonian due to s...

In this ultra short note, gauge field propagation in D-brane configuration of M theory in the BFSS matrix formulation is considered. Noncommutativity of the space plays a key role for appearance of gauge fields as physical degrees of freedom.