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We develop the rewriting theory for monoidal supercategories and2-supercategories. This extends the theory of higher-dimensional rewriting established for (linear) 2-categories to the super setting, providing a suite of tools for constructing bases and normal forms for2-supercategories given by generators and relations. We then employ this newly developed theory to prove the non-degeneracy conjecture for the odd categorification of quantum\mathfrak{sl}(2)from A. Ellis and A. Lauda [Quantum Topol. 7 (2016), 329–433] and J. Brundan and A. Ellis [Proc. Lond. Math. Soc. (3) 115 (2017), 925–973] As a corollary, this gives a classification of dg-structures on the odd2-category conjectured by A. Lauda and I. Egilmez [Quantum Topol. 11 (2020), 227–294].more » « less
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Huang, Edward Greg; Lin, Yimin; Ebert, Mark; Ham, Dae Woong; Zhang, Claire Yunzhi; Sachs, Rainer K. (, Radiation and Environmental Biophysics)
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