An operator approach to string equations

1999/05/21 by Korkut Bardakci
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Nambu–Goto action #Non-critical string theory #Operator (biology) #String (physics) #String cosmology #String field theory #String phenomenology #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00556-8

published as Nucl.Phys.B564:285-299,2000 · 22 pages (latex, no other macros needed)

arxiv created 1999/05/21 · openalex publication_date 2000/01/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper, a new approach to string dynamics is proposed. String coordinates are identified with a non-commuting set of operators familiar from free string quantization, and the dynamics follows from the Virasoro algebra. There is a very large gauge group operating on the non-commuting coordinates. The gauge has to be fixed suitably to make contact with the standard string picture.

Citations

• Nonlinear Models in2+εDimensions
• String field equations from the generalized sigma model
• Mtheory as a matrix model: A conjecture
• D-brane field theory on compact spaces
• The large N limit of superconformal field theories and supergravity
• Noncommutative geometry and Matrix theory