Results 51 to 60 of about 23,157 (251)

Double-graded supersymmetric quantum mechanics [PDF]

Journal of Mathematical Physics, 2020
A quantum mechanical model that realizes the Z2×Z2-graded generalization of the one-dimensional supertranslation algebra is proposed. This model shares some features with the well-known Witten model and is related to parasupersymmetric quantum mechanics, though the model is not directly equivalent to either of these.
Andrew James Bruce, Steven Duplij
openaire   +4 more sources

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
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

Spherical branes and the BMN matrix quantum mechanics

Journal of High Energy Physics
We study the maximally supersymmetric Yang-Mills theory on S d using supersymmetric localisation and holography. We argue that the analytic continuation in dimension to d = 1 yields a Euclidean version of the BMN matrix quantum mechanics. This system can
Nikolay Bobev, Pieter Bomans, Friðrik Freyr Gautason   +2 more
doaj   +1 more source

Supersymmetric quantum mechanics of hypergeometric-like differential operators

Results in Physics
Systematic iterative algorithms, that are solely dictated by the principles of supersymmetric quantum mechanics and do not rest on any input from the traditional methods, are developed for constructing the discrete eigen-spectra of a generic principal ...
Tianchun Zhou
doaj   +1 more source

Superconformal quantum mechanics on Kähler cones

Journal of High Energy Physics, 2020
We consider supersymmetric quantum mechanics on a Kähler cone, regulated via a suitable resolution of the conical singularity. The unresolved space has a u(1, 1|2) superconformal symmetry and we propose the existence of an associated quantum mechanical ...
Nick Dorey, Daniel Zhang
doaj   +1 more source

Higher-order supersymmetric quantum mechanics

, 2004
We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order ...
C, David J Fernandez, Fernandez-Garcia, Nicolas   +1 more
core   +3 more sources

Parabose-Parafermi Supersymmetry [PDF]

, 1995
The ($p=2$) parabose-parafermi supersymmetry is studied in general terms. It is shown that the algebraic structure of the ($p=2$) parastatistical dynamical variables allows for (symmetry) transformations which mix the parabose and parafermi coordinate ...
Mostafazadeh, Ali
core   +2 more sources

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, Volume 537, Issue 9, September 2025.
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

Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry

Beni-Suef University Journal of Basic and Applied Sciences, 2022
Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj   +1 more source