Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-08
Phys.Lett. B486 (2000) 202-211
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, corrected typos, added references and comments on thermodynamics
Scientific paper
10.1016/S0370-2693(00)00735-8
We study aspects of obtaining field theories with noncommuting time-space coordinates as limits of open-string theories in constant electric-field backgrounds. We find that, within the standard closed-string backgrounds, there is an obstruction to decoupling the time-space noncommutativity scale from that of the string fuzziness scale. We speculate that this censorship may be string-theory's way of protecting the causality and unitarity structure. We study the moduli space of the obstruction in terms of the open- and closed-string backgrounds. Cases of both zero and infinite brane tensions as well as zero string couplings are obtained. A decoupling can be achieved formally by considering complex values of the dilaton and inverting the role of space and time in the light cone. This is reminiscent of a black-hole horizon. We study the corresponding supergravity solution in the large-N limit and find that the geometry has a naked singularity at the physical scale of noncommutativity.
Barbon Jose L. F.
Rabinovici Eliezer
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