The Ground State of the D = 11 Supermembrane: The External Dirichlet Problem

Lyonell Boulton; Maria Pilar Garcia del Moral; Alvaro Restuccia

doi:10.1088/1742-6596/1043/1/012034

The Ground State of the D = 11 Supermembrane: The External Dirichlet Problem

Lyonell Boulton, Maria Pilar Garcia del Moral, Alvaro Restuccia

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Abstract

We analyse the outer Dirichlet problem for the Hamiltonian of the SU(N) regularized D = 11 Supermembrane. We show the existence and uniqueness of the solution for this problem. The solution belongs to a suitable Hilbert space, introduced in the present work, which is defined in terms of the supersymmetric charges. The existence and uniqueness of the ground state of the D = 11 supermembrane is directly related to the patching of solutions of the inner and outer Dirichlet problems.

Original language	English
Article number	012034
Journal	Journal of Physics: Conference Series
Volume	1043
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1043/1/012034
Publication status	Published - 25 Jun 2018
Event	20th Chilean Physics Symposium 2016 - Santiago, Chile Duration: 30 Nov 2016 → 2 Dec 2016

ASJC Scopus subject areas

General Physics and Astronomy

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title = "The Ground State of the D = 11 Supermembrane: The External Dirichlet Problem",

abstract = "We analyse the outer Dirichlet problem for the Hamiltonian of the SU(N) regularized D = 11 Supermembrane. We show the existence and uniqueness of the solution for this problem. The solution belongs to a suitable Hilbert space, introduced in the present work, which is defined in terms of the supersymmetric charges. The existence and uniqueness of the ground state of the D = 11 supermembrane is directly related to the patching of solutions of the inner and outer Dirichlet problems.",

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AU - Garcia del Moral, Maria Pilar

AU - Restuccia, Alvaro

PY - 2018/6/25

Y1 - 2018/6/25

N2 - We analyse the outer Dirichlet problem for the Hamiltonian of the SU(N) regularized D = 11 Supermembrane. We show the existence and uniqueness of the solution for this problem. The solution belongs to a suitable Hilbert space, introduced in the present work, which is defined in terms of the supersymmetric charges. The existence and uniqueness of the ground state of the D = 11 supermembrane is directly related to the patching of solutions of the inner and outer Dirichlet problems.

AB - We analyse the outer Dirichlet problem for the Hamiltonian of the SU(N) regularized D = 11 Supermembrane. We show the existence and uniqueness of the solution for this problem. The solution belongs to a suitable Hilbert space, introduced in the present work, which is defined in terms of the supersymmetric charges. The existence and uniqueness of the ground state of the D = 11 supermembrane is directly related to the patching of solutions of the inner and outer Dirichlet problems.

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Y2 - 30 November 2016 through 2 December 2016

ER -

The Ground State of the D = 11 Supermembrane: The External Dirichlet Problem

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