Consistency of Quantum Background Independence

1997/04/19 by Sabbir Rahman, Rahman, Sabbir · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9704141

23 pages, phyzzx

arxiv created 1997/04/19 · openalex publication_date 1997/04/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse higher order background independence conditions arising from multiple commutators of background deformations in quantum closed string field theory. The conditions are shown to amount to a vanishing theorem for Δ_S cohomology classes. This holds by virtue of the existence of moduli spaces of higher genus surfaces with two kinds of punctures. Our result is a generalisation of a previous genus zero analysis relevant to the classical theory.

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• String Vertices and Inner Derivations

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