Squeezed State Projectors in String Field Theory

Details Squeezed State Projectors in String Field Theory Squeezed State Projectors in String Field Theory

2002-06-30

arxiv.org/abs/hep-th/0207001v2

JHEP 0209 (2002) 022

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, JHEP format. 3D figure and few comments added, typos corrected

Scientific paper

10.1088/1126-6708/2002/09/022

We find a new subalgebra of the star product in the matter sector. Its elements are squeezed states whose matrices commute with (K_1)^2. This subalgebra contains a large set of projectors. The states are represented by their eigenvalues and we find a mapping between the eigenvalues representation and other known representations. The sliver is naturally in this subalgebra. Surprisingly, all the generalized butterfly states are also in this subalgebra, enabling us to analyze their spectrum, and to show the orthogonality of different butterfly states. This means that multi D-brane states can be built of butterfly states.

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