The free massless superparticle is reanalyzed, in particular by performing the Gupta-Bleuler quantization, using the first- and second-class constraints of the model, and obtaining as a result, the Weyl equation for the spinorial component of the chiral superfield. Then we construct a superconformal model of two interacting massless superparticles from the free case by the introduction of an invariant interaction. The interaction introduces an effective mass for each particle by modifying the structure of fermionic constraints, all becoming second class. The quantization of the model produces a bilocal chiral superfield. We also generalize the model by considering a system of superconformal interacting particles and its continuum limit.

• Received 21 December 2023
• Accepted 23 January 2024

DOI:https://doi.org/10.1103/PhysRevD.109.046009

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Published by the American Physical Society