String Vertices and Inner Derivations

1997/06/18 by Sabbir Rahman, Rahman, Sabbir
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9706128

13 pages, phyzzx

arxiv created 1997/06/18 · openalex publication_date 1997/06/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that it is algebraically consistent to express some string field theory operators as inner derivations of the B-V algebra of string vertices. In this approach, the recursion relations for the string vertices are found to take the form of a `geometrical' quantum master equation. We also show that the B-V delta operator cannot be an inner derivation on the algebra.

Citations

• Consistency of Quantum Background Independence

Related

• Geometrising the closed string field theory action
• The path towards manifest background independence
• Adding stubs to quantum string field theories
• Vertex operator algebras and operads
• String theory in a vertex operator representation: a simple model for testing loop quantum gravity