# A note on quiver quantum toroidal algebra

@article{Noshita2022ANO,
title={A note on quiver quantum toroidal algebra},
author={Go Noshita and Akimi Watanabe},
journal={Journal of High Energy Physics},
year={2022}
}
• Published 16 August 2021
• Mathematics
• Journal of High Energy Physics
Abstract Recently, Li and Yamazaki proposed a new class of infinite-dimensional algebras, quiver Yangian, which generalizes the affine Yangian $$\mathfrak{gl}$$ gl 1. The characteristic feature of the algebra is the action on BPS states for non-compact toric Calabi-Yau threefolds, which are in one-to-one correspondence with the crystal melting models. These algebras can be bootstrapped from the action on the crystals and have various truncations.In this paper, we propose a q-deformed…
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Journal of High Energy Physics
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