A fresh look at midpoint singularities in the algebra of string fields

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dc.creatorErler, Theodore G.
dc.date2003-04-05
dc.date2004-08-12
dc.date.accessioned2026-07-07T11:10:09Z
dc.date.available2026-07-07T11:10:09Z
dc.descriptionIn this paper we study the midpoint structure of the algebra of open strings from the standpoint of the operator/Moyal formalism. We construct a split string description for the continuous Moyal product of hep-th/0202087, study the breakdown of associativity in the star algebra, and identify in infinite sequence of new (anti)commutative coordinates for the star product in in the complex plane. We also explain how poles in the open string non(anti)commutativity parameter correspond to certain ``null'' operators which annihilate the vertex, implying that states proportional to such operators tend to have vanishing star product with other string fields. The existence of such poles, we argue, presents an obstruction to realizing a well-defined formulation of the theory in terms of a Moyal product. We also comment on the interesting, but singular, representation $L_0$ which has appeared prominently in the recent studies of Bars {\it et al}.
dc.description40 pages, 5 figures. Version to be submitted to JHEP. Some interesting and previouusly unpublished results are included here. These include both an interpretation of poles in the open string noncommutativity parameter as corresponding to null operators in the algebra, and an identification of an infinite sequence of new commutative and null coordinates in the complex $κ$ plane
dc.identifierhttps://arxiv.org/abs/hep-th/0304044
dc.identifierhttp://arxiv.org/abs/hep-th/0304044
dc.identifierJHEP0503:042,2005
dc.identifierdoi:10.1088/1126-6708/2005/03/042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190705
dc.subjectHigh Energy Physics - Theory
dc.titleA fresh look at midpoint singularities in the algebra of string fields
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