Pith. sign in

REVIEW 2 cited by

N=1 Neveu-Schwarz vertex operator superalgebras over Grassmann algebras and with odd formal variables

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/9910007 v1 pith:MFEUJEKG submitted 1999-10-02 math.QA hep-thmath.RT

Katrina Deane Barron This is my paper · ORCID
classification math.QAhep-thmath.RT
keywords formalneveu-schwarzoperatorvariablesvertexassociativitysuperalgebrasupercommutativity
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The notions of N=1 Neveu-Schwarz vertex operator superalgebra over a Grassmann algebra and with odd formal variables and of N=1 Neveu-Schwarz vertex operator superalgebra over a Grassmann algebra and without odd formal variables are introduced, and we show that the respective categories of such objects are isomorphic. The weak supercommutativity and weak associativity properties for an N=1 Neveu-Schwarz vertex operator superalgebra with odd formal variables are established, and we show that in the presence of the other axioms, weak supercommutativity and weak associativity are equivalent to the Jacobi identity. In addition, we prove the supercommutativity and associativity properties for an N=1 Neveu-Schwarz vertex operator superalgebra with odd formal variables and show that in the presence of the other axioms, supercommutativity and associativity are equivalent to the Jacobi identity.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $\mathrm{G}_2$-structures with torsion and the deformed Shatashvili-Vafa vertex algebra

    math.DG 2025-02 conditional novelty 7.0 of 10

    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 scala...

  2. Tensor structure on the module category of the triplet superalgebra $\mathcal{{SW}}(m)$

    math.QA 2024-12 conditional novelty 7.0 of 10

    For each m, the tensor supercategory on SW(m)-mod is rigid, all simple and projective modules are self-dual, and the fusion ring is generated by one simple module X2.

Pith tools