Results 31 to 40 of about 380 (176)
EXTENDED FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS [PDF]
Modern Physics Letters A, 1993 Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the Fth power of a conserved charge: H=QF with F=2, 3,…. This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable θ of order F, which satisfies θF=0.
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DEFORMED CONFORMAL AND SUPERSYMMETRIC QUANTUM MECHANICS [PDF]
Modern Physics Letters A, 1992 Within the standard quantum mechanics a q-deformation of the simplest N=2 supersymmetry algebra is suggested. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are q-isospectral, i.e., the spectrum of one can be obtained from another (with possible exception of the lowest level)
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T T ¯ $$ T\overline{T} $$ deformations of supersymmetric quantum mechanics
Journal of High Energy Physics, 2022 We define a manifestly supersymmetric version of the T T ¯ $$ T\overline{T} $$ deformation appropriate for a class of (0 + 1)-dimensional theories with N $$ \mathcal{N} $$ = 1 or N $$ \mathcal{N} $$ = 2 supersymmetry, including one presentation of the ...
Stephen Ebert +3 more
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Shape Invariant Potentials in Supersymmetric Quantum Cosmology
Universe, 2022 In this brief review, we comment on the concept of shape invariant potentials, which is an essential feature in many settings of N=2 supersymmetric quantum mechanics.
Shahram Jalalzadeh +2 more
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Counting trees in supersymmetric quantum mechanics [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2018 We study the supersymmetric ground states of the Kronecker model of quiver quantum mechanics. This is the simplest quiver with two gauge groups and bifundamental matter fields, and appears universally in four-dimensional \mathcal N = 2 systems. The ground state degeneracy may be written
Cordova, Clay, Shao, Shu-Heng
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An Index Formula for Supersymmetric Quantum Mechanics [PDF]
Journal of Singularities, 2016 30 pages, 12 figures, v2 references added, minor clarifications, and changes to sign conventions for FI ...
Córdova, Clay, Shao, Shu-Heng
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
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The gravitational sector of 2d (0, 2) F-theory vacua
Journal of High Energy Physics, 2017 F-theory compactifications on Calabi-Yau fivefolds give rise to two-dimensional N = (0, 2) supersymmetric field theories coupled to gravity. We explore the dilaton supergravity defined by the moduli sector of such compactifications.
Craig Lawrie +2 more
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Supersymmetric quantum mechanics with a point singularity [PDF]
Nuclear Physics B, 2003 We study the possibility of supersymmetry (SUSY) in quantum mechanics in one dimension under the presence of a point singularity. The system considered is the free particle on a line R or on the interval [-l, l] where the point singularity lies at x = 0.
Uchino, Takashi, Tsutsui, Izumi
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