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arXiv · 2411.19570

A consistent light-cone-gauge superstring field theory

Yuji Ando·Ryota Fujii·Hiroshi Kunitomo·Jojiro Totsuka-Yoshinaka
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Abstract

Extending a recent development in the bosonic string field theory, we construct a map from the Witten-type gauge-invariant superstring field theory based on an $A_{\infty}$ structure to a light-cone-gauge superstring field theory via two intermediate theories, which we call the Kaku-type and Kugo-Zwiebach-type superstring field theories. We find that a naive extension only gives us an inconsistent light-cone-gauge theory that suffers from the well-known problem caused by divergence due to collisions of local operators. However, we also find that this difficulty may be resolved by considering the stubbed theory and propose it as a consistent light-cone-gauge superstring field theory. The result possibly gives a proof of the unitarity of the Witten-type superstring field theory.

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Yuji Ando, Ryota Fujii, Hiroshi Kunitomo, Jojiro Totsuka-Yoshinaka. 2024-11-29. A consistent light-cone-gauge superstring field theory. https://doi.org/10.1093/ptep%2Fptaf021

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