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14 papers · 1 filter
Harmonic N=2 Mechanics
Anton Galajinsky, Olaf Lechtenfeld
N=2 superconformal many-body quantum mechanics in arbitrary dimensions is governed by a single scalar prepotential which determines the bosonic potential and the boson-fermion coup…
N=2 superconformal Newton-Hooke algebra and many-body mechanics
Anton Galajinsky
A representation of the conformal Newton-Hooke algebra on a phase space of n particles in arbitrary dimension which interact with one another via a generic conformal potential and…
Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
I. L. Buchbinder, V. A. Krykhtin, L. L. Ryskina
We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as gener…
Remark on quantum mechanics with N=2 Schrodinger supersymmetry
Anton Galajinsky, Ivan Masterov
A unitary transformation which relates a many-body quantum mechanics with N=2 Schrodinger supersymmetry to a set of decoupled superparticles is proposed. The simplification in dyna…
BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
I. L. Buchbinder, V. A. Krykhtin, L. L. Ryskina
We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in…
Remark on quantum mechanics with conformal Galilean symmetry
A. V. Galajinsky
Conformal Galilei algebra contains so(1,2) subalgebra which is the conformal algebra in one dimension. In this note we generalize methods previously developed for one-dimensional m…