{
  "id": "hep-th/0209081",
  "version": "v2",
  "published": "2002-09-10T10:34:39.000Z",
  "updated": "2002-09-18T10:58:35.000Z",
  "title": "Ground State of Supermembrane on PP-wave",
  "authors": [
    "Noriko Nakayama",
    "Katsuyuki Sugiyama",
    "Kentaroh Yoshida"
  ],
  "comment": "27 pages, LaTeX, typos corrected",
  "journal": "Phys.Rev. D68 (2003) 026001",
  "doi": "10.1103/PhysRevD.68.026001",
  "categories": [
    "hep-th"
  ],
  "abstract": "We consider the ground state of supermembrane on the maximally supersymmetric pp-wave background by using the quantum-mechanical procedure of de Wit-Hoppe-Nicolai. In the pp-wave case the ground state has non-trivial structure even in the zero-mode Hamiltonian, which is identical with that of superparticles on the pp-wave and resembles supersymmetric harmonic oscillators. The supergravity multiplet in the flat case is splitting with a certain energy difference. We explicitly construct the unique supersymmetric ground-state wave function of the zero-mode Hamiltonian, which is obviously normalizable. Moreover, we discuss the nonzero-mode Hamiltonian and construct an example for the ground-state wave function with a truncation of the variables. This special solution seems non-normalizable but its L^2-norm can be represented by an asymptotic series.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-09-18T10:58:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.65.+e",
      "11.30.Pb",
      "11.25.Yb"
    ],
    "keywords": [
      "ground state",
      "supermembrane",
      "unique supersymmetric ground-state wave function",
      "resembles supersymmetric harmonic oscillators",
      "zero-mode hamiltonian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 594717
    }
  }
}