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8 Result(s)

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  1. No Access

    Article

    From Yang–Mills in de Sitter Space to Electromagnetic Knots

    We review analytic SU(2) Yang–Mills solutions with finite action on four-dimensional de Sitter space from a new perspective, by conformally map** dS \(_{4}\) to a finite Lorentzian cylinder $$(0,\pi ) \times...

    O. Lechtenfeld in Physics of Particles and Nuclei Letters (2020)

  2. No Access

    Article

    Supersymmetric Calogero Models from Superfield Gauging

    Using the superfield gauging procedure, we construct new \(\mathcal{N} = 2\) and \(\mathcal{N} = 4\) superfield systems that generalize Calogero models. In the bosonic limit, these systems yield rational Ca...

    E. A. Ivanov, O. Lechtenfeld, S. Fedoruk in Physics of Particles and Nuclei (2020)

  3. No Access

    Article

    Pure Yang–Mills Solutions on dS4

    We consider pure SU(2) Yang–Mills theory on four-dimensional de Sitter space dS4 and construct smooth and spatially homogeneous classical Yang–Mills fields. Slicing dS4 as

    T. A. Ivanova, O. Lechtenfeld, A. D. Popov in Physics of Particles and Nuclei (2018)

  4. No Access

    Article

    Action-angle variables and novel superintegrable systems

    In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-d...

    T. Hakobyan, O. Lechtenfeld, A. Nersessian… in Physics of Particles and Nuclei (2012)

  5. No Access

    Article

    Instantons and Chern-Simons flows in 6, 7 and 8 dimensions

    The existence of K-instantons on a cylinder M7 = ℝτ × K/H over a homogeneous nearly Käller 6-manifold K/H requires a conformally parallel or a cocalibrated G 2-structure on M 7. Th...

    O. Lechtenfeld in Physics of Particles and Nuclei (2012)

  6. No Access

    Article

    New super-Calogero models and OSp(4|2) superconformal mechanics

    We report on the new approach to constructing superconformal extensions of the Calogerotype systems with an arbitrary number of involved particles. It is based upon the superfield gauging of non-Abelian isomet...

    S. A. Fedoruk, E. A. Ivanov, O. Lechtenfeld in Physics of Atomic Nuclei (2011)

  7. No Access

    Article

    N = 4 mechanics, WDVV equations and polytopes

    N = 4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten—Dijkgraaf—Verl...

    O. Lechtenfeld in Physics of Atomic Nuclei (2010)

  8. No Access

    Article

    Gauge theory in deformed \( \mathcal{N} \) = (1, 1) superspace

    We review the non-anticommutative Q-deformations of \( \mathcal{N} \) = (1, 1) supersymmetric theories in four-dimens...

    I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld… in Physics of Particles and Nuclei (2008)