Papers by Simon Lyakhovich
Nature, 2007
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Physical Review D, 2002
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Nuclear Physics B, 2004
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To describe a massive particle with fixed, but arbitrary, spin on $d=4$ anti-de Sitter space $M^4... more To describe a massive particle with fixed, but arbitrary, spin on $d=4$ anti-de Sitter space $M^4$, we propose the point-particle model with configuration space ${\cal M}^6 = M^{4}\times S^{2}$, where the sphere $S^2$ corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase-space counterparts of the second- and fourth-order Casimir operators
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Journal of High Energy Physics, 2005
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Nuclear Physics B, 2001
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Physics Letters B, 2002
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Physics Letters B, 1995
ABSTRACT We propose an exactly solvable model for a massive N-extended superparticle with pure (h... more ABSTRACT We propose an exactly solvable model for a massive N-extended superparticle with pure (half-)integer superspin , …. Regardless of the superspinvalue, the configuration space is 4|4N × S2, where S2 corresponds to spinning degrees of freedom. Being explicitly super-Poincaré invariant, the model possesses two gauge symmetries implying strong conservation of the squared momentum and superspin. Hamilton constrained dynamics is developed and canomical quantization is studied. For N = 1 we show that the physical super wave-functions are to be on-shell massive chiral superfields. Central-charge and higher-dimensional generalizations of the model are given.
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Physics Letters B, 2002
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Physical Review D, 1996
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Nuclear Physics B, 1996
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Journal of Mathematical Physics, 2011
ABSTRACT We propose a system of equations that defines Weierstrass-Jacobi's eta- and thet... more ABSTRACT We propose a system of equations that defines Weierstrass-Jacobi's eta- and theta-constant series in a differentially closed way. This system is shown to have a direct relationship to a little-known dynamical system obtained by Jacobi. The classically known differential equations by Darboux-Halphen, Chazy, and Ramanujan are the differential consequences or reductions of these systems. The proposed system is shown to admit the Lagrangian, Hamiltonian, and Nambu formulations. We explicitly construct a pencil of nonlinear Poisson brackets and complete set of involutive conserved quantities. As byproducts of the theory, we exemplify conserved quantities for the Ramamani dynamical system and quadratic system of Halphen-Brioschi.
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International Journal of Modern Physics A, 2001
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Theoretical and Mathematical …, 2001
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Nuclear Physics B, 2014
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Papers by Simon Lyakhovich