Results 21 to 30 of about 685 (210)
Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation
Fortschritte der Physik, Volume 71, Issue 12, December 2023., 2023 Abstract It is shown in this article that an explicit construction of a four‐dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber‐Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel ...
Suddhasattwa Brahma +6 more
wiley +1 more source
Fractional Supersymmetric Hermite Polynomials
Mathematics, 2020 We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
doaj +1 more source
The superfield quantisation of a superparticle action with an extended line element [PDF]
, 2005 A massive superparticle action based on the generalised line element in N = 1 global superspace is quantised canonically. A previous method of quantising this action, based on a Fock space analysis, showed that states existed in three supersymmetric ...
Fitzgerald, PL
core +1 more source
On stochastic quantisation of supersymmetric theories
Physics Letters B, 2019 We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess–Zumino model), we determine the kernels that ensure the ...
Laurent Baulieu
doaj +1 more source
Quantum SU(2|1) supersymmetric ℂ N Smorodinsky-Winternitz system
Journal of High Energy Physics, 2021 We study quantum properties of SU(2|1) supersymmetric (deformed N $$ \mathcal{N} $$ = 4, d = 1 supersymmetric) extension of the superintegrable Smorodinsky-Winternitz system on a complex Euclidian space ℂ N . The full set of wave functions is constructed
Evgeny Ivanov +2 more
doaj +1 more source
Supersymmetry and the Spontaneous Breakdown of PT Symmetry [PDF]
, 2001 The appearances of complex eigenvalues in the spectra of PT-symmetric quantum mechanical systems are usually associated with a spontaneous breaking of PT.
Dunning, Clare +2 more
core +1 more source
Localization and duality for ABJM latitude Wilson loops
Journal of High Energy Physics, 2021 We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with N $$ \mathcal{N} $$ ≥ 4 supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric localization, and ...
Luca Griguolo +2 more
doaj +1 more source
The 3d twisted index and wall-crossing
SciPost Physics, 2022 We study the twisted index of 3d $\mathcal{N}=2$ supersymmetric gauge theories on $S^1 \times \Sigma$ in the presence of a real FI parameter deformation. This parameter induces a 1d FI parameter for the effective supersymmetric quantum mechanics on $S^1$.
Mathew Bullimore, Andrea E.V. Ferrari, Heeyeon Kim
doaj +1 more source
On supersymmetries in nonrelativistic quantum mechanics [PDF]
Journal of Mathematical Physics, 1992 One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the ...
Beckers, J., Debergh, N., Nikitin, A. G.
openaire +2 more sources
Hidden symmetry and (super)conformal mechanics in a monopole background
Journal of High Energy Physics, 2020 We study classical and quantum hidden symmetries of a particle with electric charge e in the background of a Dirac monopole of magnetic charge g subjected to an additional central potential V (r) = U (r) + (eg)2 /2mr 2 with U (r) = 1 2 $$ \frac{1}{2 ...
Luis Inzunza +2 more
doaj +1 more source