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arXiv · 1908.08809

Solutions for Mixed States in Open Bosonic String Theory

Dimitri Polyakov
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Abstract

We describe the family of normalizable solutions in linearized open string field theory, defined by $Q\Psi_0=0$ ($Q$ is BRST charge) understood in the sense $< >=0$ for an arbitrary string field $\Phi$. The solutions depend on shifted partition numbers and are parametrized in terms of values of $\zeta$-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).

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Dimitri Polyakov. 2019-08-22. Solutions for Mixed States in Open Bosonic String Theory. https://doi.org/10.1016/j.physletb.2019.135010

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