Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-14
JHEP0301:004,2003
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 9 figures, v3: section 3.3 rewritten, few other corrections, set in JHEP style
Scientific paper
10.1088/1126-6708/2003/01/004
The wedge states form an important subalgebra in the string field theory. We review and further investigate their various properties. We find in particular a novel expression for the wedge states, which allows to understand their star products purely algebraically. The method allows also for treating the matter and ghost sectors separately. It turns out, that wedge states with different matter and ghost parts violate the associativity of the algebra. We introduce and study also wedge states with insertions of local operators and show how they are useful for obtaining exact results about convergence of level truncation calculations. These results help to clarify the issue of anomalies related to the identity and some exterior derivations in the string field algebra.
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