Results 71 to 80 of about 380 (176)
Supersymmetric Quantum Mechanics and Index Theorem [PDF]
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]
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.
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Foundations of Ghost Stability
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
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
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
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
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
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
Supersymmetric quantum mechanics for string bits [PDF]
17 pages ...
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de Sitter State in Heterotic String Theory
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

