A Note On Space Noncommutativity

Gauge Field on Brane in M-atrix Theory

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.

Noncommutative Solitons

We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, V (φ), has at least two minima. These solutions are bubbles of the false vacuum whose size is set by the scale of noncommutativity. Our construction uses the correspondence between non-commutative fields and operators on a single particle Hilbert space. In the ...

NCOS and D-branes in Time-dependent Backgrounds

We study noncommutative open string (NCOS) theories realized in string theory with time-dependent backgrounds. Starting from a noncommutative YangMills theory (NCYM) with a constant space-space noncommutativity but in a time-dependent background and making an S-dual transformation, we show that the resulting theory is an NCOS also in a time-dependent background but now with a time-dependent tim...

Holography and D 3 - branes in Melvin Universes

Recently,in a paper hep-th/0511197, it was found that non-commutative super Yang-Mills (NCSYM) theory with space-dependent noncommutativity can be formulated as a decoupling limit of open strings ending on D3-branes wrapping a Melvin universe supported by a flux of the NSNS B-field. Under S-duality, we show that this theory turns into a noncommutative open string (NCOS) theory with space-depend...

Reissner-Nordström Black Hole Thermodynamics in Noncommutative Spaces

This paper considers the effects of space noncommutativity on the thermodynamics of a Reissner-Nordström black hole. In the first step, we extend the ordinary formalism of Bekenstein-Hawking to the case of charged black holes in commutative space. In the second step we investigate the effects of space noncommutativity and the generalized uncertainty principle on the thermodynamics of charged bl...

A note on modular hyperconvex space