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Time Dependent Supersymmetry in Quantum Mechanics [PDF]

open access: yes, 1997
The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY of Andrianov et al.
Bagrov, Vladislav G., Samsonov, Boris F.
core   +1 more source

A novel connection between scalar field theories and quantum mechanics

open access: yes, 2018
This work deals with scalar field theories and supersymmetric quantum mechanics. The investigation is inspired by a recent result, which shows how to use the reconstruction mechanism to describe two distinct field theories from the very same quantum ...
Bazeia, D., Losano, L.
core   +1 more source

Supersymmetric quantum mechanics under point singularities [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2003
We provide a systematic study on the possibility of supersymmetry (SUSY) for one dimensional quantum mechanical systems consisting of a pair of lines $\R$ or intervals [-l, l] each having a point singularity. We consider the most general singularities and walls (boundaries) at $x = \pm l$ admitted quantum mechanically, using a U(2) family of parameters
Uchino, Takashi, Tsutsui, Izumi
openaire   +2 more sources

Geometric Relational Framework for General‐Relativistic Gauge Field Theories

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley   +1 more source

Dimensional Enhancement via Supersymmetry

open access: yesAdvances in Mathematical Physics, 2011
We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension.
M. G. Faux, K. M. Iga, G. D. Landweber
doaj   +1 more source

Deep Quantum Geometry of Matrices

open access: yesPhysical Review X, 2020
We employ machine learning techniques to provide accurate variational wave functions for matrix quantum mechanics, with multiple bosonic and fermionic matrices.
Xizhi Han (韩希之), Sean A. Hartnoll
doaj   +1 more source

Witten Index and Superconducting Strings [PDF]

open access: yes, 2010
The Yukawa interaction sector of superstring inspired models that give superconducting strings, can be described in terms of a supersymmetric quantum mechanics algebra.
Oikonomou, V. K.
core   +1 more source

Real homotopy theory and supersymmetric quantum mechanics [PDF]

open access: yesJournal of Mathematics and Physics, 2015
In the context of studying string backgrounds, much work has been devoted to the question of how similar a general quantum field theory (specifically, a two-dimensional superconformal theory) is to a sigma model.
Hyungrok Kim, Ingmar Saberi
semanticscholar   +1 more source

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi   +2 more
wiley   +1 more source

Planarizable Supersymmetric Quantum Toboggans

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted complex deformations of the ...
Miloslav Znojil
doaj   +1 more source

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