Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-22
JHEP 0204:060,2002
Physics
High Energy Physics
High Energy Physics - Theory
65 pages, 23 figures, LaTeX
Scientific paper
10.1088/1126-6708/2002/04/060
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 nontrivial 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.
Gaiotto Davide
Rastelli Leonardo
Sen Ashoke
Zwiebach Barton
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