Results 71 to 80 of about 380 (176)

Supersymmetric Quantum Mechanics and Index Theorem [PDF]

open access: yesProgress of Theoretical Physics, 1983
Supersymmetric quantum mechanics is discussed in the spaces of one and three dimensions. The structure of the continuum portion of the spectrum of the hamiltonian is investigated by making use of Callias' and Weinberg's generalized index theorems. The difference of the densities of bosonic and fermionic states at a fixed energy is calculated and it ...
openaire   +2 more sources

ON FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS: THE FRACTIONAL SUPERSYMMETRIC OSCILLATOR [PDF]

open access: yesSymmetry and Structural Properties of Condensed Matter, 2001
The Hamiltonian for a fractional supersymmetric oscillator is derived from three approaches. The first one is based on a decomposition in which a Q-uon gives rise to an ordinary boson and a k-fermion (a k-fermion being an object interpolating between boson and fermion). The second one starts from a generalized Weyl-Heisenberg algebra.
Daoud, M., Kibler, M.
openaire   +3 more sources

Foundations of Ghost Stability

open access: yesFortschritte der Physik, Volume 73, Issue 4, April 2025.
Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez   +2 more
wiley   +1 more source

Geometric Relational Framework for General‐Relativistic Gauge Field Theories

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley   +1 more source

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi   +2 more
wiley   +1 more source

Exact Propagators for Soliton Potentials

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2005
Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.
Andrey M. Pupasov, Boris F. Samsonov
doaj  

Pseudoscalar Field as a Possible Candidate for Phantom Field

open access: yesAdvances in High Energy Physics, Volume 2025, Issue 1, 2025.
We demonstrate the existence of a single pseudoscalar (PS) field in the mathematically backed and parity‐preserving modifications of the standard Stückelberg formalism (SSF) in the context of the Lagrangian formulation of the (i) two (1 + 1)‐dimensional (2D) massive Abelian 1‐form gauge theory, (ii) three (2 + 1)‐dimensional (3D) massive Abelian 2‐form
E. Harikumar, R. P. Malik, Burak Bilki
wiley   +1 more source

On Calabi‐Yau Manifolds at Strong Topological String Coupling

open access: yesFortschritte der Physik, Volume 72, Issue 12, December 2024.
Abstract It was recently shown that integrating out M2 states on Calabi‐Yau manifolds captures non‐perturbative topological string physics in the free energy. In this note, It has been shown that the resulting expression manifests a certain duality symmetry: the free energy at strong string coupling is equal to the Calabi‐Yau period at weak string ...
Jarod Hattab, Eran Palti
wiley   +1 more source

de Sitter State in Heterotic String Theory

open access: yesFortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract Recent no‐go theorems have ruled out four‐dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well‐defined Wilsonian effective action and other related phenomena also appear to rule out such time‐dependent vacua with de Sitter isometries, even in the presence of quantum corrections.
Stephon Alexander   +4 more
wiley   +1 more source

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