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This content will become publicly available on June 27, 2026

Title: Free fermions revisited
Free fermion vertex superalgebras are discussed from the point of view of Urod vertex algebras [T. Arakawa, T. Creutzig and B. Feigin, Urod algebras and translation of [Formula: see text]-algebras, Forum Mathematics Sigma, Vol. 10 (Cambridge University Press, 2022) and M. Bershtein, B. Feigin and A. Litvinov, Coupling of two conformal field theories and Nakajima–Yoshioka blow-up equations, preprint (2013), arXiv:1310.7281]. We present all finite decompositions of the [Formula: see text]-fermion vertex algebra via Virasoro and [Formula: see text] superconformal vertex algebras. We also present decompositions of higher rank fermion algebras using affine [Formula: see text]-algebras, and a conjecture on the existence of the “square root” of the [Formula: see text] fermion algebra.  more » « less
Award ID(s):
2101844
PAR ID:
10632367
Author(s) / Creator(s):
;
Publisher / Repository:
World Scientific
Date Published:
Journal Name:
Journal of Algebra and Its Applications
ISSN:
0219-4988
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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