Open membranes, p-branes and noncommutativity of boundary string coordinates

Das, Ashok ; Melikyan, Arsen ; Maharana, Jnanadeva (2001) Open membranes, p-branes and noncommutativity of boundary string coordinates Journal of High Energy Physics, 2001 (4). 016-016. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2001/04/016

Related URL: http://dx.doi.org/10.1088/1126-6708/2001/04/016

Abstract

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 hamiltonian formalism due to Dirac is used to derive the noncommutativity of coordinates. The chain of constraints is found to be finite for a suitable gauge choice, unlike the case of the static gauge, where the chain has an infinite sequence of terms. It is conjectured that the formulation of closed string field theory may necessitate introduction of a star product which is both non commutative and non associative.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
Keywords:M-Theory; P-branes; Non-Commutative Geometry
ID Code:19738
Deposited On:22 Nov 2010 12:00
Last Modified:17 May 2016 04:14

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