Supersymmetric vertex algebras

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Reimundo Heluani , Victor G. Kac This is my paper · ORCID

classification math.QAmath-phmath.MP

keywords algebrasvertexcomputationsconformaldefineeffectiveleadsrules

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We define and study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields.

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$\mathcal{SW}$-algebras and strings with torsion
hep-th 2024-12 conditional novelty 6.0 of 10

For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.