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Spectral properties of ghost Neumann matrices

2008/01/14 by L. Bonora, R. J. Scherer Santos, D. D. Tolla
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum many-body systems #Random Matrices and Applications #hep-th

paper · pdf · doi:10.1103/physrevd.77.106001

published as Phys.Rev.D77:106001,2008 · 29 pages

arxiv created 2008/01/14 · openalex publication_date 2008/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the analysis of the ghost wedge states in the oscillator formalism by studying the spectral properties of the ghost matrices of Neumann coefficients. We show that the traditional spectral representation is not valid for these matrices and propose a new heuristic formula that allows one to reconstruct them from the knowledge of their eigenvalues and eigenvectors. It turns out that additional data, which we call boundary data, are needed in order to actually implement the reconstruction. In particular our result lends support to the conjecture that there exists a ghost three strings vertex with properties parallel to those of the matter three strings vertex.

Citations