Results 51 to 60 of about 859 (194)
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Parastatistics and supersymmetry in quantum mechanics
A new N = 2 parasupersymmetry algebra is proposed and studied in comparison with the Rubakov-Spiridonov one. The contexts of bosons with parafermions and of parabosons with parafermions are analyzed and their parasuperspectra determined for oscillator-like interactions.
J. Beckers, N. Debergh
openaire +1 more source
Fakty fizyki na tle przymiarek filozofii
This article is drafted on the basis of three complementary essays by Professor Jerzy Janik. The author takes a look at selected issues in the field of quantum mechanics – especially the problem of quantum superposition and supersymmetry – from ...
Jerzy A. Janik
doaj
Chiral 2d theories from N = 4 SYM with varying coupling
We study 2d chiral theories arising from 4d N = 4 Super-Yang Mills (SYM) with varying coupling τ . The 2d theory is obtained by dimensional reduction of N = 4 SYM on a complex curve with a partial topological twist that accounts for the non-constant τ ...
Craig Lawrie +2 more
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Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley +1 more source
Supersymmetric quantum mechanics on the lattice: II. Exact results
Simulations of supersymmetric field theories with spontaneously broken supersymmetry require in addition to the ultraviolet regularisation also an infrared one, due to the emergence of the massless Goldstino.
David Baumgartner, Urs Wenger
doaj +1 more source
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
Supersymmetry breaking in graph quantum mechanics
In this paper, we develop the groundwork for a graph theoretic toy model of supersymmetric quantum mechanics. Using discrete Witten–Morse theory, we demonstrate that finite graphs have a natural supersymmetric structure and use this structure to incorporate supersymmetry into an existing model of graph quantum mechanics.
B. Herz, I. Contreras
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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
NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS [PDF]
The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is considered.
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