Squeezed State Projectors in String Field Theory

2002/07/31 by Ehud Fuchs, Michael Kroyter, Alon Marcus · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum many-body systems #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/09/022

published as JHEP 0209 (2002) 022 · 29 pages, JHEP format. 3D figure and few comments added, typos corrected

openalex publication_date 2002/09/08 · arxiv created 2002/09/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We find a new subalgebra of the star product in the matter sector. Its elements are squeezed states whose matrices commute with (K₁)². This subalgebra contains a large set of projectors. The states are represented by their eigenvalues and we find a mapping between the eigenvalues representation and other known representations. The sliver is naturally in this subalgebra. Surprisingly, all the generalized butterfly states are also in this subalgebra, enabling us to analyze their spectrum, and to show the orthogonality of different butterfly states. This means that multi D-brane states can be built of butterfly states.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory

Cited by

• Virasoro operators in the continuous basis of string field theory
• Spectral properties of ghost Neumann matrices
• Schnabl's Script L0operator in the continuous basis
• Lattice string field theory: the linear dilaton in one dimension
• Normalization anomalies in level truncation calculations

Related

• Interpolating State in String Field Theory
• Boundary state in open string channel and open/closed string field theory
• Framed BPS States
• Higher power squeezed states, Jacobi matrices, and the Hamburger moment problem
• Squeezed Fourier Meets Toeplitz Algebras