activity
19992026
most citedNon-self-adjoint harmonic oscillator, compact semigroups and pseudospectra

49 citations · 289 across the 45 of their papers we have counts for

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12 papers · 1 filter

hep-th2021★ 1 cited

Spectral Geometry of Nuts and Bolts

Lyonell Boulton, Bernd Schroers, Kim Smedley-Williams

We study the spectrum of Laplace operators on a one-parameter family of gravitational instantons of bi-axial Bianchi IX type coupled to an abelian connection with self-dual curvatu…

hep-th2021★ 2 cited

Existence of a Supersymmetric Massless Ground State of the Matrix Model globally on its Valleys

L. Boulton, M. P. Garcia del Moral, A. Restuccia

In this work we consider the existence and uniqueness of the ground state of the regularized Hamiltonian of the Supermembrane in dimensions and 11, or equivalently t…

hep-th2018★ 3 cited

Measure of the potential valleys of the supermembrane theory

L. Boulton, M. P. Garcia del Moral, A. Restuccia

We analyse the measure of the regularized matrix model of the supersymmetric potential valleys, , of the Hamiltonian of non zero modes of supermembrane theory. This is the same…

hep-th2015

Arguments towards the construction of a matrix model groundstate

L. Boulton, M. P. Garcia del Moral, A. Restuccia

We discuss the existence and uniqueness of wavefunctions for inhomogenoeus boundary value problems associated to x^2y^2-type matrix model on a bounded domain of R^2. Both propertie…

hep-th2015★ 7 cited

The ground state of the D=11 supermembrane and matrix models on compact regions

L. Boulton, M. P. Garcia del Moral, A. Restuccia

We establish a general framework for the analysis of boundary value problems of matrix models at zero energy on compact regions. We derive existence and uniqueness of ground state…

hep-th2015★ 5 cited

On the groundstate of octonionic matrix models in a ball

L. Boulton, M. P. Garcia del Moral, A. Restuccia

In this work we examine the existence and uniqueness of the groundstate of a SU(N)x G2 octonionic matrix model on a bounded domain of R^N. The existence and uniqueness argument of…