Superconformal mechanics
S Fedoruk, E Ivanov, O Lechtenfeld - Journal of Physics A …, 2012 - iopscience.iop.org
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Search Journals Journals list Browse more than 100 science journal titles Subject collections …
Superconformal quantum mechanics from M2-branes
T Okazaki - arXiv preprint arXiv:1503.03906, 2015 - arxiv.org
We discuss the superconformal quantum mechanics arising from the M2-branes. We begin
with a comprehensive review on the superconformal quantum mechanics and emphasize …
with a comprehensive review on the superconformal quantum mechanics and emphasize …
Many-particle mechanics with D (2, 1; α) superconformal symmetry
S Krivonos, O Lechtenfeld - Journal of High Energy Physics, 2011 - Springer
We overcome the barrier of constructing\(\mathcal {N}= 4\) superconformal models in one
space dimension for more than three particles. The D (2, 1; α) superalgebra of our systems is …
space dimension for more than three particles. The D (2, 1; α) superalgebra of our systems is …
[HTML][HTML] Extended supersymmetric Calogero model
S Krivonos, O Lechtenfeld, A Provorov, A Sutulin - Physics Letters B, 2019 - Elsevier
We present a surprising redefinition of matrix fermions which brings the supercharges of the
N-extended supersymmetric A n− 1 Calogero model introduced in [1] to the standard form …
N-extended supersymmetric A n− 1 Calogero model introduced in [1] to the standard form …
Generalized Calogero–Moser systems from rational Cherednik algebras
M Feigin - Selecta Mathematica, 2012 - Springer
We consider ideals of polynomials vanishing on the W-orbits of the intersections of mirrors of
a finite reflection group W. We determine all such ideals that are invariant under the action of …
a finite reflection group W. We determine all such ideals that are invariant under the action of …
On the geometry of V-systems
M Feigin, AP Veselov - arXiv preprint arXiv:0710.5729, 2007 - arxiv.org
We consider a complex version of the $\vee $-systems, which appeared in the theory of the
WDVV equation. We show that the class of these systems is closed under the natural …
WDVV equation. We show that the class of these systems is closed under the natural …
supersymmetric mechanics on curved spaces
We present N= 4 supersymmetric mechanics on n-dimensional Riemannian manifolds
constructed within the Hamiltonian approach. The structure functions entering the …
constructed within the Hamiltonian approach. The structure functions entering the …
N= 4 superconformal n-particle mechanics via superspace
S Krivonos, O Lechtenfeld, K Polovnikov - Nuclear Physics B, 2009 - Elsevier
We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems
with N= 4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic …
with N= 4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic …
Generalized Legendre transformations and symmetries of the WDVV equations
IAB Strachan, R Stedman - Journal of Physics A: Mathematical …, 2017 - iopscience.iop.org
Abstract The Witten–Dijkgraaf–Verlinde–Verlinde (or WDVV) equations, as one would
expect from an integrable system, has many symmetries, both continuous and discrete. One …
expect from an integrable system, has many symmetries, both continuous and discrete. One …
A note on the relationship between rational and trigonometric solutions of the WDVV equations
A Riley, IAB Strachan - Journal of Nonlinear Mathematical Physics, 2007 - Taylor & Francis
Legendre transformations provide a natural symmetry on the space of solutions to the WDVV
equations, and more specifically, between different Frobenius manifolds. In this paper a …
equations, and more specifically, between different Frobenius manifolds. In this paper a …