CLASSICAL FREENESS OF ORTHOSYMPLECTIC AFFINE VERTEX SUPERALGEBRAS

Creutzig T, Linshaw AR, Song B (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Proceedings of the American Mathematical Society American Mathematical Society

Book Volume: 152

Pages Range: 4087-4094

Journal Issue: 10

DOI: 10.1090/proc/16548

Abstract

The question of when a vertex algebra is a quantization of the arc space of its associated scheme has recently received a lot of attention in both the mathematics and physics literature. This property was first studied by Tomoyuki Arakawa and Anne Moreau (see their paper in the references), and was given the name “classical freeness” by Jethro van Ekeren and Reimundo Heluani [Comm. Math. Phys. 386 (2021), no. 1, pp. 495-550] in their work on chiral homology. Later, it was extended to vertex superalgebras by Hao Li [Eur. J. Math. 7 (2021), pp. 1689–1728]. In this note, we prove the classical freeness of the simple affine vertex superalgebra Ln(ospm|2r) for all positive integers m, n, r satisfying Formula presented. In particular, it holds for the rational vertex superalgebras Ln(osp1|2r) for all positive integers r, n.

Authors with CRIS profile

Thomas Creutzig Lehrstuhl für Darstellungstheorie

Involved external institutions

University of Denver US United States (USA) (US) University of Science and Technology of China (USTC) CN China (CN)

How to cite

APA:

Creutzig, T., Linshaw, A.R., & Song, B. (2024). CLASSICAL FREENESS OF ORTHOSYMPLECTIC AFFINE VERTEX SUPERALGEBRAS. Proceedings of the American Mathematical Society, 152(10), 4087-4094. https://doi.org/10.1090/proc/16548

MLA:

Creutzig, Thomas, Andrew R. Linshaw, and Bailin Song. "CLASSICAL FREENESS OF ORTHOSYMPLECTIC AFFINE VERTEX SUPERALGEBRAS." Proceedings of the American Mathematical Society 152.10 (2024): 4087-4094.

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