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EXTENDED FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS [PDF]

open access: yesModern 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.
openaire   +2 more sources

DEFORMED CONFORMAL AND SUPERSYMMETRIC QUANTUM MECHANICS [PDF]

open access: yesModern 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)
openaire   +3 more sources

Loop formulation of supersymmetric Yang-Mills quantum mechanics [PDF]

open access: yes, 2014
We derive the fermion loop formulation of N=4 supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions to the partition function into its bosonic and fermionic parts with fixed fermion ...
Wenger, Urs, Steinhauer, Kyle
core   +1 more source

T T ¯ $$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

open access: yesJournal 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
doaj   +1 more source

Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac [PDF]

open access: yes, 2016
Feynman’s time-slicing construction approximates the path integral by a product, determined by a partition of a finite time interval, of approximate propagators.
D. Fine, S. Sawin
semanticscholar   +1 more source

From Scalar Field Theories to Supersymmetric Quantum Mechanics [PDF]

open access: yes, 2016
In this work we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics.
D. Bazeia, F. S. Bemfica
semanticscholar   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte 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
wiley   +1 more source

Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields

open access: yesStudies 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
wiley   +1 more source

Semiclassical monopole calculations in supersymmetric gauge theories [PDF]

open access: yes, 2000
We investigate semiclassical contributions to correlation functions in N = 1 supersymmetric gauge theories. Our principal example is the gluino condensate, which signals the breaking of chiral symmetry, and should be exactly calculable, according to a ...
Davies, N.M., Davies, N Michael
core  

The gravitational sector of 2d (0, 2) F-theory vacua

open access: yesJournal 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
doaj   +1 more source

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