# Super Quantum Airy Structures

@article{Bouchard2020SuperQA,
title={Super Quantum Airy Structures},
author={Vincent Bouchard and Paweł Ciosmak and Leszek Hadasz and Kento Osuga and B. Ruba and Piotr Sułkowski},
journal={Communications in Mathematical Physics},
year={2020},
volume={380},
pages={449 - 522}
}
• Published 21 July 2019
• Mathematics, Physics
• Communications in Mathematical Physics
We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum Airy structure one can assign a unique set of free energies, which satisfy a supersymmetric generalization of the topological recursion. We reveal and discuss various properties of these supersymmetric structures, in particular their gauge transformations, classical limit, peculiar role of fermionic variables, and graphical representation…
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