Random lattice superstrings

TL;DR

This paper introduces new simplifications for Feynman diagrams in random lattice superstring formulations, reducing supersymmetry and aligning with super Yang-Mills interpretations in the 1/N expansion.

Contribution

It presents novel ingredients for Feynman diagrams that simplify superstring lattice models and clarify their supersymmetry properties.

Findings

Half the fermionic variables appear only in particle loops.

Supersymmetry is reduced to N=1 in the model.

Aligns superstring formulations with super Yang-Mills in 1/N expansion.

Abstract

We propose some new simplifying ingredients for Feynman diagrams that seem necessary for random lattice formulations of superstrings. In particular, half the fermionic variables appear only in particle loops (similarly to loop momenta), reducing the supersymmetry of the constituents of the Type IIB superstring to N=1, as expected from their interpretation in the 1/N expansion as super Yang-Mills.