Results 41 to 50 of about 685 (210)
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Group Structural Realism [PDF]
We present a precise form of structural realism, called 'group structural realism,' which identifies 'structure' in quantum theory with symmetry groups.
Roberts, Bryan W., Bryan W. Roberts
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Weak supersymmetry and superconformal indices
One-dimensional quantum mechanical models obeying Smilga's weak supersymmetry are described in the matrix form. They are related to the parasupersymmetric and higher-order derivative deformations of the standard supersymmetric models discussed earlier ...
Vyacheslav P. Spiridonov
doaj +1 more source
ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
wiley +1 more source
Quantum Mechanics à la Langevin and Supersymmetry [PDF]
We study quantum mechanics in the stochastic formulation, using the functional integral approach. The noise term enters the classical action as a local contribution of anticommuting fields. The partition function is not invariant under ${\mathcal N}=1$ SUSY, but can be obtained from a, manifestly, supersymmetric expression, upon fixing a local ...
openaire +2 more sources
Supersymmetric quantum mechanics on the lattice: I. Loop formulation
Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a novel approach which solves this problem in low dimensions
David Baumgartner, Urs Wenger
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Solitons in lattice field theories via tight-binding supersymmetry
Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian +2 more
doaj +1 more source
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
Supersymmetry breaking in noncommutative quantum mechanics [PDF]
Supersymmetric quantum mechanics is formulated on a two dimensional noncommutative plane and applied to the supersymmetric harmonic oscillator. We find that the ordinary commutative supersymmetry is partially broken and only half of the number of supercharges are conserved.
Geloun, J Ben, Scholtz, F G
openaire +2 more sources
Solvable quantum mechanical examples of broken supersymmetry [PDF]
We construct several analytically solvable examples of broken supersymmetry in non-relativistic quantum mechanics. Our examples are motivated from known shape-invariant potentials obeying unbroken supersymmetry and are obtained from them via suitable ...
Pagnamenta, A. +4 more
core +1 more source

