## Group theoretical methods in physics: proceedings of the third Yurmala seminar, Yurmala, USSR 22-24 May 1985These Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons. |

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### Contents

Harmonic superspace and extended supersymmetries | 47 |

B Zupnik | 61 |

Spontaneous compactification of extra space dimensions in supergravities with | 79 |

Copyright | |

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1-1)-tensor field action analytic arbitrary asymptotic black holes calculations Cartan chiral classical coefficients coincide collapse commutation components conformal connected consider constant construct coordinates corresponding covariant cycles d=ll defined density derivative described determined dimensional dimensions Dubna dynamical eigenvalues embeddings energy expansion expression finite formula Friedmann gauge Green functions Hahn polynomials Hamiltonian harmonic superspace infinite interaction invariant irreducible Lagrangian Lebedev Physical Institute Lett Lie algebra Lie superalgebra linear Lorentz Lorentz group mass Math matrix elements mesons method Moscow Nauka nonlinear Nucl obtained operator oscillator parameter particles path integral Phys Physics Planck's Poisson Poisson transformation polynomials Preprint problem quantization quantum quark relations representation roots Russian satisfy scalar Sitter solutions space spinor string structure subalgebra subspace superfield supergravity superspace supersymmetric symmetry tensor tensor fields Theorem tion toroid trajectories transformation universe values variables vector fields zero