Discreteness of the spectrum of the compactified D = 11 supermembrane with nontrivial winding

L. Boulton; M. P. García del Moral; A. Restuccia

doi:10.1016/j.nuclphysb.2003.08.024

Discreteness of the spectrum of the compactified D = 11 supermembrane with nontrivial winding

L. Boulton^*
, M. P. García del Moral
, A. Restuccia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

We analyze the Hamiltonian of the compactified D=11 supermembrane with nontrivial central charge in terms of the matrix model constructed in [Phys. Rev. D 66 (2002) 045023, hep-th/0103261. Our main result provides a rigorous proof that the quantum Hamiltonian of the supersymmetric model has compact resolvent and thus its spectrum consists of a discrete set of eigenvalues with finite multiplicity.

Original language	English
Pages (from-to)	343-358
Number of pages	16
Journal	Nuclear Physics B
Volume	671
DOIs	https://doi.org/10.1016/j.nuclphysb.2003.08.024
Publication status	Published - 3 Nov 2003

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2003.08.024

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title = "Discreteness of the spectrum of the compactified D = 11 supermembrane with nontrivial winding",

abstract = "We analyze the Hamiltonian of the compactified D=11 supermembrane with nontrivial central charge in terms of the matrix model constructed in [Phys. Rev. D 66 (2002) 045023, hep-th/0103261. Our main result provides a rigorous proof that the quantum Hamiltonian of the supersymmetric model has compact resolvent and thus its spectrum consists of a discrete set of eigenvalues with finite multiplicity.",

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AU - Boulton, L.

AU - García del Moral, M. P.

AU - Restuccia, A.

PY - 2003/11/3

Y1 - 2003/11/3

N2 - We analyze the Hamiltonian of the compactified D=11 supermembrane with nontrivial central charge in terms of the matrix model constructed in [Phys. Rev. D 66 (2002) 045023, hep-th/0103261. Our main result provides a rigorous proof that the quantum Hamiltonian of the supersymmetric model has compact resolvent and thus its spectrum consists of a discrete set of eigenvalues with finite multiplicity.

AB - We analyze the Hamiltonian of the compactified D=11 supermembrane with nontrivial central charge in terms of the matrix model constructed in [Phys. Rev. D 66 (2002) 045023, hep-th/0103261. Our main result provides a rigorous proof that the quantum Hamiltonian of the supersymmetric model has compact resolvent and thus its spectrum consists of a discrete set of eigenvalues with finite multiplicity.

UR - https://www.scopus.com/pages/publications/0141987812

U2 - 10.1016/j.nuclphysb.2003.08.024

DO - 10.1016/j.nuclphysb.2003.08.024

M3 - Article

AN - SCOPUS:0141987812

SN - 0550-3213

VL - 671

SP - 343

EP - 358

JO - Nuclear Physics B

JF - Nuclear Physics B

ER -

Discreteness of the spectrum of the compactified D = 11 supermembrane with nontrivial winding

Abstract

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