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Supersymmetry in quantum mechanics: an extended view [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2004
The concept of supersymmetry in a quantum mechanical system is extended, permitting the recognition of many more supersymmetric systems, including very familiar ones such as the free particle. Its spectrum is shown to be supersymmetric, with space-time symmetries used for the explicit construction. No fermionic or Grassmann variables need to be invoked.
openaire   +3 more sources

Stochastic processes in lattice (extended) supersymmetry [PDF]

open access: yesNuclear Physics B, 1983
We show that ungauged N = 2 supersymetric models can be put on the (hamiltonian) lattice in such a way as to preserve a subalgebra of supersymmetry large enough to ensure the existence of the Nicolai mapping. The models can be interpreted as stochastic systems described by Langevin equations. We describe both Wilson and Susskind versions of the model.
Cecotti, S., Girardello, L.
openaire   +3 more sources

A Note on the Local Observability of Uniform Hypergraphs

open access: yesPAMM, Volume 25, Issue 1, March 2025.
ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
wiley   +1 more source

Behaviors of two supersymmetry breaking scales in N $$ \mathcal{N} $$ = 2 supergravity

open access: yesJournal of High Energy Physics, 2019
We study the supersymmetry breaking patterns in four-dimensional N $$ \mathcal{N} $$ = 2 gauged supergravity. The model contains multiple (Abelian) vector multiplets and a single hypermultiplet which parametrizes SO(4, 1)/SO(4) coset.
Hiroyuki Abe   +3 more
doaj   +1 more source

Symmetries and Supersymmetries of Generalized Schrödinger equations [PDF]

open access: yesarXiv, 2020
In this survey the contemporary results concerning supersymmetries in generalized Schr\"odinger equations are presented. Namely, position dependent mass Sch\"odinger equations are discussed as well as the equations with matrix potentials. An extended number of realistic quantum mechanical problems admitting extended supersymmetries is described, an ...
arxiv  

Spontaneous Breaking of Extended Supersymmetry in Global and Local Theories [PDF]

open access: yesNucl.Phys.Proc.Suppl. 55B (1997) 240-244, 1996
We review the "no-go" theorems that severely constrain the breaking of N=2 supersymmetry to N=1 (both in rigid supersymmetry and supergravity), and we exhibit some models that evade them.
arxiv   +1 more source

Supergraphs extended to broken supersymmetries

open access: yesNuclear Physics B, 1985
Abstract Supergraph techniques are generalized to the case of broken supersymmetry. The modified superpropagators for the O'Raifeartaigh model are obtained: they are used for the superspace renormalization and the derivation of the effective potential.
F. Legovini   +6 more
openaire   +2 more sources

Double Copy From Tensor Products of Metric BV■‐Algebras

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten   +5 more
wiley   +1 more source

All partial breakings in N=2 $$ \mathcal{N}=2 $$ supergravity with a single hypermultiplet

open access: yesJournal of High Energy Physics, 2018
We consider partial supersymmetry breaking in N=2 $$ \mathcal{N}=2 $$ supergravity coupled to a single vector and a single hypermultiplet. This breaking pattern is in principle possible if the quaternion-Kähler space of the hypermultiplet admits (at ...
Ignatios Antoniadis   +3 more
doaj   +1 more source

N $$ \mathcal{N} $$ -extended D = 4 supergravity, unconventional SUSY and graphene

open access: yesJournal of High Energy Physics, 2020
We derive a 2+1 dimensional model with unconventional supersymmetry at the boundary of an AdS4 N $$ \mathcal{N} $$ -extended supergravity, generalizing previous results. The (unconventional) extended supersymmetry of the boundary model is instrumental in
L. Andrianopoli   +6 more
doaj   +1 more source

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