Superconformal mechanics

S Fedoruk, E Ivanov, O Lechtenfeld - Journal of Physics A …, 2012 - iopscience.iop.org
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Supersymmetric SYK model and random matrix theory

T Li, J Liu, Y **n, Y Zhou - Journal of High Energy Physics, 2017 - Springer
A bstract In this paper, we investigate the effect of supersymmetry on the symmetry
classification of random matrix theory ensembles. We mainly consider the random matrix …

Yang-Baxter equation in long-range interacting systems

D Bernard, M Gaudin, FDM Haldane… - Journal of Physics A …, 1993 - iopscience.iop.org
We consider the su (p) spin chains with long-range interactions and the spin generalization
of the Calogero-Sutherland models. We show that their properties derive from a transfer …

[PDF][PDF] Physics and mathematics of Calogero particles

AP Polychronakos - arxiv preprint hep-th/0607033, 2006 - arxiv.org
arxiv:hep-th/0607033v2 16 Aug 2006 Physics and mathematics of Calogero particles Page 1
arxiv:hep-th/0607033v2 16 Aug 2006 CCNY-HEP-06-9 June 2006 Physics and mathematics …

Deformed Heisenberg algebra, fractional spin fields, and supersymmetry without fermions

MS Plyushchay - Annals of Physics, 1996 - Elsevier
Within a group-theoretical approach to the description of (2+ 1)-dimensional anyons, the
minimal covariant set of linear differential equations is constructed for the fractional spin …

One-dimensional quantum mechanics with Dunkl derivative

WS Chung, H Hassanabadi - Modern Physics Letters A, 2019 - World Scientific
In this paper, we consider the quantum mechanics with Dunkl derivative. We use the Dunkl
derivative to obtain the coordinate representation of the momentum operator and …

Rationally-extended Dunkl oscillator on the line

C Quesne - Journal of Physics A: Mathematical and Theoretical, 2023 - iopscience.iop.org
It is shown that the extensions of exactly-solvable quantum mechanical problems connected
with the replacement of ordinary derivatives by Dunkl ones and with that of classical …

Quantum Hall physics= noncommutative field theory

S Hellerman, M Van Raamsdonk - Journal of High Energy …, 2001 - iopscience.iop.org
In this note, we study a matrix-regularized version of non-commutative U (1) Chern-Simons
theory proposed recently by Polychronakos. We determine a complete minimal basis of …

The Calogero model—anyonic representation, fermionic extension and supersymmetry

L Brink, TH Hansson, S Konstein, MA Vasiliev - Nuclear Physics B, 1993 - Elsevier
We discuss several applications and extensions of our previous operator solution of the N-
body quantum-mechanical Calogero problem, ie N particles in one dimension subject to a …

Deformed Heisenberg algebra with reflection

MS Plyushchay - Nuclear Physics B, 1997 - Elsevier
A universality of the deformed Heisenberg algebra involving the reflection operator is
revealed. It is shown that in addition to the well-known infinite-dimensional representations …