2012
DOI: 10.1007/jhep07(2012)076
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Superconformal Yang-Mills quantum mechanics and Calogero model with $$ {\text{OSp}}\left( {\mathcal{N}|{2},\mathbb{R}} \right) $$ symmetry

Abstract: In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N , 0) super Yang-Mills. Further, its dimensional reduction to mechanics doubles the number of supersymmetries, from N to N + N , to include conformal supercharges, and leads to a superconformal Yang-Mills quantum mechanics with symmetry group OSp(N |2, R). We comment on its connection to … Show more

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Cited by 9 publications
(5 citation statements)
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References 102 publications
(134 reference statements)
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“…The supersymmetric extension of some of the conformal models we have considered here has already been done; see e.g. [30] and [9,10] for the supersymmetric extension of Calogero model with harmonic oscillator couplings and that of nonlinear conformal theories with homogeneous potentials, respectively (see also [32] for matrix models). Conformal linear models with extended supersymmetry and homogeneous potentials have been reviewed in [12], see also [33].…”
Section: Discussionmentioning
confidence: 99%
“…The supersymmetric extension of some of the conformal models we have considered here has already been done; see e.g. [30] and [9,10] for the supersymmetric extension of Calogero model with harmonic oscillator couplings and that of nonlinear conformal theories with homogeneous potentials, respectively (see also [32] for matrix models). Conformal linear models with extended supersymmetry and homogeneous potentials have been reviewed in [12], see also [33].…”
Section: Discussionmentioning
confidence: 99%
“…This approach, developed in [20,21] for the rational spin-Calogero models with N = 2, 4 supersymmetry, was recently extended to N = 2, 4 supersymmetric hyperbolic Calogero models [22][23][24]. A similar extended set of fermions appeared in [25], however their bosonic sector contains no interaction.…”
Section: Introductionmentioning
confidence: 99%
“…Models with more general interactions can be found for any number of particles. in the models of [9,[17][18][19]25], it features N 2 rather than N fermionic coordinates and increasingly high fermionic powers in the supercharges and the Hamiltonian. While quite satisfactory from a mathematical point of view, the new N -extended supersymmetric Calogero models [26] look very complicated for possible applications.…”
Section: Introductionmentioning
confidence: 99%
“…This method relies upon the structure relations of the superalgebra, and an going beyond N = 4 may turn out to be problematic [32] 1 . Superconformal mechanics can also be constructed by higher-dimensional reduction [27,28]. Finally, by using the method of nonlinear realizations one can directly build the action, whose form can be restricted by requiring the κ-symmetry [11,12,15,25,26,29,30].…”
Section: Introductionmentioning
confidence: 99%