Výsledky vyhledávání - "Oleksandr Pavlyk"

Quasiconformal Realizations of $E_{6(6)}, E_{7(7)}, E_{8(8)}$ and $SO(n+3,m+3), N=4 and N>4$ Supergravity and Spherical Vectors

Autor: Oleksandr Pavlyk, Murat Gunaydin

Publikováno v: Advances in Theoretical and Mathematical Physics. 13:1895-1940

After reviewing the underlying algebraic structures we give a unified realization of split exceptional groups F_{4(4)},E_{6(6)}, E_{7(7)}, E_{8(8)} and of SO(n+3,m+3) as quasiconformal groups that is covariant with respect to their (Lorentz) subgroup

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::89b2dae1efe4e7c1b4c3cca4a508e61f
https://doi.org/10.4310/atmp.2009.v13.n6.a8

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Hypergeometric Functions in Mathematica ®

Autor: Oleksandr Pavlyk

Publikováno v: Texts & Monographs in Symbolic Computation ISBN: 9783709116159

This paper is a short introduction to the generalized hypergeometric functions, with some theory, examples and notes on the implementation in the computer algebra system Mathematica ®. (Mathematica is a registered trademark of Wolfram Research, Inc.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d76b3d0ca8a6f9381fa6eaaa86ee83d0
https://doi.org/10.1007/978-3-7091-1616-6_10

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Spectrum Generating Conformal and Quasiconformal U-Duality Groups, Supergravity and Spherical Vectors

Autor: Oleksandr Pavlyk, Murat Gunaydin

After reviewing the algebraic structures that underlie the geometries of N=2 Maxwell-Einstein supergravity theories (MESGT) in five and four dimensions with symmetric scalar manifolds, we give a unified realization of their three dimensional U-dualit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35182ea4da4a5b3ba604b2bfd1307bc1

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Quasi-conformal actions, quaternionic discrete series and twistors: SU(2,1) and G_2(2)

Autor: Murat Gunaydin, Boris Pioline, Andrew Neitzke, Oleksandr Pavlyk

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2008, 283 (1), pp.169-226
Communications in Mathematical Physics, 2008, 283 (1), pp.169-226

Quasi-conformal actions were introduced in the physics literature as a generalization of the familiar fractional linear action on the upper half plane, to Hermitian symmetric tube domains based on arbitrary Jordan algebras, and further to arbitrary F

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07f35c2a2aa3a910a8a178beffcc545f

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A Unified Approach to the Minimal Unitary Realizations of Noncompact Groups and Supergroups

Autor: Oleksandr Pavlyk, Murat Gunaydin

We study the minimal unitary representations of non-compact groups and supergroups obtained by quantization of their geometric realizations as quasi-conformal groups and supergroups. The quasi-conformal groups G leave generalized light-cones, defined

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9008d1119b7d11ad5e5632fdae2688a0
http://arxiv.org/abs/hep-th/0604077

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Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups

Autor: Murat Gunaydin, Oleksandr Pavlyk

We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree three describe extensions of the Minkowskian spacetimes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f33cbfc4dc356b278bb77078ab6216a
http://arxiv.org/abs/hep-th/0506010

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Minimal Unitary Realizations of Exceptional U-duality Groups and Their Subgroups as Quasiconformal Groups

Autor: Murat Gunaydin, Oleksandr Pavlyk

Publikováno v: Journal of High Energy Physics. 2005:019-019

We study the minimal unitary representations of noncompact exceptional groups that arise as U-duality groups in extended supergravity theories. First we give the unitary realizations of the exceptional group E_{8(-24)} in SU*(8) as well as SU(6,2) co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54aae9059d94eb4cf9bd4498b954ea59
https://doi.org/10.1088/1126-6708/2005/01/019

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