Results 51 to 60 of about 22,768 (250)

Ladder operators for subtle hidden shape invariant potentials

, 2004
Ladder operators can be constructed for all potentials that present the integrability condition known as shape invariance, satisfied by most of the exactly solvable potentials.
Balantekin A B, Balantekin A B, Cooper F, Drigo Filho E, Elso Drigo Filho, Gangopadhyaya A Mallow J V Sukhatme U H Aratyn, Gedenshtein L, Infeld L, Regina Maria Ricotta, Sukumar C V   +9 more
core   +2 more sources

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, EarlyView.
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

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

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +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

Modeling General Asymptotic Calabi–Yau Periods

Fortschritte der Physik, Volume 73, Issue 7, July 2025.
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian, Thomas W. Grimm, Damian van de Heisteeg   +2 more
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

Foundations of Ghost Stability

Fortschritte 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, Jordi Gaset Rifà, Georgina Staudt   +2 more
wiley   +1 more source