Solutions for mixed states in open bosonic string theory

We describe the family of normalizable solutions in linearized open string field theory, defined by QΨ0=0 (Q is BRST charge) understood in the sense <<QΨ0,Φ>>=0 for an arbitrary string field Φ. The solutions depend on shifted partition numbers and are parametrized in terms of values of ζ-function at pairs of positive numbers greater than 2. We argue that the operators, defined by these solutions, create mixed quantum-mechanical states by acting on the vacuum (as opposed to standard vertex operators, creating the pure states with definite masses and spins).

Abstract licence: CC BY

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