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The complete cohomology of the string

1993/09/07 by H. Lu, H Lu, C. N. Pope +5 · 14 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Cohomology #Operator (biology) #Operator theory #Order (exchange) #Quantum and Classical Electrodynamics #Simple (philosophy) #String (physics) #Unit (ring theory) #hep-th

paper · pdf · doi:10.1088/0264-9381/11/4/013

published in Classical and Quantum Gravity 11(4), 967-981 (IOP Publishing) · 18 pages, CTP TAMU-50/93

arxiv created 1993/09/07 · openalex publication_date 1994/04/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a simple procedure for constructing the complete cohomology of the BRST operator of the two-scalar and multi-scalar strings. The method consists of obtaining two level-15 physical operators in the two-scalar string that are invertible, and that can normal order with all other physical operators. They can be used to map all physical operators into non-trivial physical operators whose momenta lie in a fundamental unit cell. By carrying out an exhaustive analysis of physical operators in this cell, the entire cohomology problem is solved.

Citations