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Supersymmetric quantum mechanics of scattering [PDF]
Physics Letters B, 2001 In the quantum mechanics of collision problems we must consider scattering states of the system. For these states, the wave functions do not remain in Hilbert space, but they are expressible in terms of generalized functions of a Gel'fand triplet. Supersymmetric quantum mechanics for dealing with the scattering states is here proposed.
Toshiki Shimbori, Tsunehiro Kobayashi
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Supersymmetric quantum mechanics with reflections [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 17 ...
Luc Vinet, Alexei Zhedanov, Sarah Post
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Journal of High Energy Physics, 2021 We compute by supersymmetric localization the expectation values of half-BPS ’t Hooft line operators in N $$ \mathcal{N} $$ = 2 U(N ), SO(N ) and USp(N ) gauge theories on S 1 × ℝ3 with an Ω-deformation. We evaluate the non-perturbative contributions due
Hirotaka Hayashi +2 more
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On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics [PDF]
Journal of High Energy Physics, 2018 A bstractWe revisit the localization computation of the expectation values of ’t Hooft operators in N$$ \mathcal{N} $$ = 2* SU(N) theory on ℝ3 × S1.
T. D. Brennan, A. Dey, G. Moore
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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
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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
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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
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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.
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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
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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.
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