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Sergey Krivonos - One of the best experts on this subject based on the ideXlab platform.

  • N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets
    'Springer Science and Business Media LLC', 2017
    Co-Authors: Anton Galajinsky, Sergey Krivonos
    Abstract:

    Abstract N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irReducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a Reducible Representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work

Krivonos Sergey - One of the best experts on this subject based on the ideXlab platform.

  • N=4 l-conformal Galilei superalgebras inspired by D(2,1;a) supermultiplets
    'Springer Science and Business Media LLC', 2017
    Co-Authors: Galajinsky Anton, Krivonos Sergey
    Abstract:

    N=4 supersymmetric extensions of the l-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N=4 superconformal group in one dimension D(2,1;a). If the acceleration generators in the superalgebra form analogues of the irReducible (1,4,3)-, (2,4,2)-, (3,4,1)-, and (4,4,0)-supermultiplets of D(2,1;a), the parameter a turns out to be constrained by the Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a Reducible Representation of D(2,1;a), a remains arbitrary. An N=4 l-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.Comment: V2: 9 pages. Introductory part extended, two references added. The version to appear in JHE

Jeanfrancois Gibrat - One of the best experts on this subject based on the ideXlab platform.

  • normal mode analysis of oligomeric proteins reduction of the memory requirement by consideration of rigid geometry and molecular symmetry
    Journal of Computational Chemistry, 1994
    Co-Authors: Jeanfrancois Gibrat, Jean Garnier, Nobuhiro Gō
    Abstract:

    A method is presented to reduce the memory requirement of normal mode analysis applied to systems containing two or more large proteins when these systems exhibit symmetry properties. We use a rigid geometry model (i.e., only the dihedral angles of the polypeptide chain are considered as variables). This model allows a reduction by a factor of 8 on average of the number of variables with a concomitant freezing of the high-frequency modes. The symmetry properties of the system are used to reduce further the number of variables that must be considered in the computation. Application of group theory leads to a factorization of the matrices of interest (the coefficient and the Hessian matrices) into independent blocks along the diagonal. The initial, Reducible Representation is thus transformed into a number of irReducible Representations of smaller dimensions. In the case of the C2 symmetry group, the method leads to a reduction of the size of the matrices that must be manipulated during the computation (coefficient matrix, Hessian matrix, and eigenvectors matrix) by a factor of 256 compared with the usual normal mode analysis in Cartesian coordinate space. The method is particularly well adapted to the study of the dynamics of oligomeric proteins because these proteins often display symmetry properties (e.g., virus coat proteins, immunoglobulins, hemoglobin, etc.). In favorable cases, in conjunction with X-ray diffuse scattering data, the study of systems showing allosteric properties might be considered. © 1994 by John Wiley & Sons, Inc.

Nobuhiro Gō - One of the best experts on this subject based on the ideXlab platform.

  • normal mode analysis of oligomeric proteins reduction of the memory requirement by consideration of rigid geometry and molecular symmetry
    Journal of Computational Chemistry, 1994
    Co-Authors: Jeanfrancois Gibrat, Jean Garnier, Nobuhiro Gō
    Abstract:

    A method is presented to reduce the memory requirement of normal mode analysis applied to systems containing two or more large proteins when these systems exhibit symmetry properties. We use a rigid geometry model (i.e., only the dihedral angles of the polypeptide chain are considered as variables). This model allows a reduction by a factor of 8 on average of the number of variables with a concomitant freezing of the high-frequency modes. The symmetry properties of the system are used to reduce further the number of variables that must be considered in the computation. Application of group theory leads to a factorization of the matrices of interest (the coefficient and the Hessian matrices) into independent blocks along the diagonal. The initial, Reducible Representation is thus transformed into a number of irReducible Representations of smaller dimensions. In the case of the C2 symmetry group, the method leads to a reduction of the size of the matrices that must be manipulated during the computation (coefficient matrix, Hessian matrix, and eigenvectors matrix) by a factor of 256 compared with the usual normal mode analysis in Cartesian coordinate space. The method is particularly well adapted to the study of the dynamics of oligomeric proteins because these proteins often display symmetry properties (e.g., virus coat proteins, immunoglobulins, hemoglobin, etc.). In favorable cases, in conjunction with X-ray diffuse scattering data, the study of systems showing allosteric properties might be considered. © 1994 by John Wiley & Sons, Inc.

Anton Galajinsky - One of the best experts on this subject based on the ideXlab platform.

  • N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets
    'Springer Science and Business Media LLC', 2017
    Co-Authors: Anton Galajinsky, Sergey Krivonos
    Abstract:

    Abstract N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irReducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a Reducible Representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work