2015/03/31 by Andrei Mikhailov
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #BRST quantization #Cohomology #Combinatorics #Formalism (music) #Gauge theory #Integrable system #Lie algebra #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Pure spinor #Spinor #Superstring theory #Supersymmetry #Vertex (graph theory) #hep-th #msc:16S37 #msc:83E30 #msc:83E50
paper · pdf · doi:10.1016/j.nuclphysb.2016.04.004
LaTeX, 40pp; v2: small corrections; v3: small corrections, added Section 4.6
arxiv created 2015/06/24 · openalex publication_date 2016/04/10 · arxiv updated 2016/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have previously described a way of describing the relation between unintegrated and integrated vertex operators in A d S 5 × S 5 which uses the interpretation of the BRST cohomology as a Lie algebra cohomology and integrability properties of the AdS background. Here we clarify some details of that description, and develop a similar approach for an arbitrary curved background with nondegenerate RR bispinor. For an arbitrary curved background, the sigma-model is not integrable. However, we argue that a similar construction still works using an infinite-dimensional Lie algebroid.