It is known that the free theory of superstring-ghost fields can be extended by adding the superconformal-invariant quartic interaction QJJ¯ where J=bc+βγ is the total ghost number current. We use functional techniques to compute correlation functions of the elementary fields and currents of the theory to all orders in the coupling constant Q, and we use these to obtain the important operator products. The model is then shown to bosonize in terms of the same fields used for the free system, and we obtain bosonization formulas such as c(z,z¯)=:exp[$a_1$${\mathrm{cphi}}_1$(z) +$a_2$${\mathrm{cphi}}_2$(z)+$b_1$cphi${¯}_1$/B (z¯)+$b_2$cphi${¯}_2$(z¯)]:, where $a_i$ and $b_i$ are algebraic functions of Q, such that $a_2$, $b_1$, and $b_2$ vanish in the free limit. The model thus exhibits the nonholomorphic behavior characteristic of the Thirring model as well as novel mixing of the scalar fields ${\mathrm{cphi}}_1$ and ${\mathrm{cphi}}_2$. It does not seem possible to construct an operator in the interacting theory with the properties of the Becchi-Rouet-Stora-Tyutin current.

• Received 27 December 1988

DOI:https://doi.org/10.1103/PhysRevD.39.3703