Expanding the Bethe/Gauge dictionary
Journal of High Energy Physics, 2017 We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d N $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories to include aspects of the algebraic Bethe ansatz.
Mathew Bullimore +2 more
doaj +1 more source
Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface
SciPost Physics, 2022 This paper studies supersymmetric ground states of 3d $\mathcal{N}=4$ supersymmetric gauge theories on a Riemann surface of genus $g$. There are two distinct spaces of supersymmetric ground states arising from the $A$ and $B$ type twists on the ...
Mathew Bullimore, Andrea Ferrari, Heeyeon Kim
doaj +1 more source
TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics [PDF]
Journal of High Energy PhysicsWe study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations.
K. Ito, Hongfei Shu
semanticscholar +1 more source
Confluent second-order supersymmetric quantum mechanics and spectral design [PDF]
Physica Scripta, 2019 The confluent second-order supersymmetric quantum mechanics, in which the factorization energies tend to a common value, is used to generate Hamiltonians with known spectra departing from the hyperbolic Rosen-Morse and Eckart potentials.
David J Fernández C, B. Roy
semanticscholar +1 more source
Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around non-Abelian Vortices [PDF]
, 2014 Fermionic zero modes around non-abelian vortices are shown that they constitute two $N=2$, $d=1$ supersymmetric quantum mechanics algebras. These two algebras can be combined under certain circumstances to form a central charge extended $N=4 ...
Kleidis, K., Oikonomou, V. K.
core +1 more source
Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy [PDF]
, 1993 The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws.
Grant, Aaron K., Rosner, Jonathan L.
core +2 more sources
Z2n-graded extensions of supersymmetric quantum mechanics via Clifford algebras [PDF]
, 2019 It is shown that the ${\cal N}=1$ supersymmetric quantum mechanics (SQM) can be extended to a $\mathbb{Z}_2^n$-graded superalgebra. This is done by presenting quantum mechanical models which realize, with the aid of Clifford gamma matrices, the $\mathbb ...
N. Aizawa, K. Amakawa, S. Doi
semanticscholar +1 more source
BiHermitian supersymmetric quantum mechanics [PDF]
Classical and Quantum Gravity, 2007 45 pages, no figure; new results added in section ...
openaire +3 more sources
Supersymmetric Quantum Mechanics: Two Factorization Schemes and Quasi-Exactly Solvable Potentials [PDF]
Panorama of Contemporary Quantum Mechanics - Concepts and Applications, 2019 We present the general ideas on SuperSymmetric Quantum Mechanics (SUSY-QM) using different representations for the operators in question, which are defined by the corresponding bosonic Hamiltonian as part of SUSY Hamiltonian and its supercharges, which ...
José Socorro García Díaz +3 more
semanticscholar +1 more source
Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics [PDF]
, 2003 A connection between fractional supersymmetric quantum mechanics and ordinary supersymmetric quantum mechanics is established in this Letter.Comment: Paper accepted for publication in Physics Letters
Daoud +22 more
core +3 more sources