Explicit embeddings of the deformed Shatashvili-Vafa vertex algebra SV_a into superaffine vertex algebras and the chiral de Rham complex are constructed for G2-structures with torsion, with a proportional to the scalar torsion class.
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$\mathrm{G}_2$-structures with torsion and the deformed Shatashvili-Vafa vertex algebra
Explicit embeddings of the deformed Shatashvili-Vafa vertex algebra SV_a into superaffine vertex algebras and the chiral de Rham complex are constructed for G2-structures with torsion, with a proportional to the scalar torsion class.