Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
H. Falomir, P. A. G. Pisani
Abstract
We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a model of SUSY Quantum Mechanics in R+ with a singular superpotential. We show that only for two particular SAE, whose domains are scale invariant, the algebra of N=2 SUSY is realized, one with manifest SUSY and the other with spontaneously broken SUSY. Otherwise, only the N=1 SUSY algebra is obtained, with spontaneously broken SUSY and non degenerate energy spectrum.
Create a lesson
Related papers
On the universality of entanglement entropy in quantum field theory
Orr Sela
Negative Junction Logarithms in Scalar Multipartite Entanglement
Chen-Te Ma
A Ghost-Free dS/AdS Correspondence in N=1 Supergravity
Omer Guleryuz
Hermitian matrix-valued nonlocal deformation of the SU(N) Thirring model at large N
J. R. Nascimento, P. J. Porf\'ırio, C. Furtado
Obstruction to local entropy laws on arbitrary black-hole cuts in five-dimensional Einstein--Gauss--Bonnet gravity
Cendikiawan Suryaatmadja, Robert B. Mann
Hamiltonian of open string field theory for time-dependent solutions
Vinícius Bernardes, Riccardo Poletti