Star algebra projectors

Gaiotto, Davide ; Rastelli, Leonardo ; Sen, Ashoke ; Zwiebach, Barton (2002) Star algebra projectors Journal of High Energy Physics, 2002 (4). No pp. given. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2002/04/060?fr...

Related URL: http://dx.doi.org/10.1088/1126-6708/2002/04/060

Abstract

Surface states are open string field configurations which arise from Riemann surfaces with a boundary and form a subalgebra of the star algebra. We find that a general class of star algebra projectors arise from surface states where the open string midpoint reaches the boundary of the surface. The projector property of the state and the split nature of its wave-functional arise because of a non-trivial feature of conformal maps of nearly degenerate surfaces. Moreover, all such projectors are invariant under constant and opposite translations of their half-strings. We show that the half-string states associated to these projectors are themselves surface states. In addition to the sliver, we identify other interesting projectors. These include a butterfly state, which is the tensor product of half-string vacua, and a nothing state, where the Riemann surface collapses.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:String Field Theory; Tachyon Condensation; Bosonic Strings
ID Code:44017
Deposited On:20 Jun 2011 07:41
Last Modified:18 May 2016 00:49

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