Construction of the Zero-Energy State of SU(2)-Matrix Theory: Near the Origin

Abstract

We explicitly construct a (unique) Spin(9)xSU(2) singlet state, phi, involving only the fermionic degrees of freedom of the supersymmetric matrix-model corresponding to reduced 10-dimensional super Yang-Mills theory, resp. supermembranes in 11-dimensional Minkowski space. Any non-singular wavefunction annihilated by the 16 supercharges of SU(2) matrix theory must, at the origin (where it is assumed to be non-vanishing) reduce to phi.

16 pages,some typos corrected

References in corpus (10)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Membranes and Matrix Models
• On the quantum mechanics of M(atrix) theory
• D-particle polarizations with multipole moments of higher-dimensional branes
• Supersymmetry and Euler Multiplets
• On the SO(9) structure of supersymmetric Yang-Mills quantum mechanics
• Zero Energy States for SU(N): A Simple Exercise in Group Theory ?
• The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics
• Zero Energy States of Reduced Super Yang-Mills Theories in $d+1=4,6$ and 10 dimensions are necessarily $Spin(d)$ invariant
• Asymptotic Zero Energy States for SU(N greater or equal 3)

Cited by in corpus (14)

• Towards the Ground State of the Supermembrane
• The ground state of the D=11 supermembrane and matrix models on compact regions
• Spiky membranes
• On the groundstate of octonionic matrix models in a ball
• Massless ground state for a compact SU(2) matrix model in 4D
• Fundamental Membranes and the String Dilaton
• Measure of the potential valleys of the supermembrane theory
• Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory
• Existence of a Supersymmetric Massless Ground State of the $SU(N)$ Matrix Model globally on its Valleys
• On gauge transformation property of coordinate independent SO(9) vector states in SU(2) Matrix Theory
• Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics: S-Matrix and Metastable States
• Counting SO(9)xSU(2) representations in coordinate independent state space of SU(2) Matrix Theory
• Optimized Fock space in the large N limit of quartic interactions in Matrix Models
• Membrane Matrix models and non-perturbative checks of gauge/gravity duality