157 citations
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5 papers · 1 filter
Spectrum Generating Conformal and Quasiconformal U-Duality Groups, Supergravity and Spherical Vectors
Murat Gunaydin, Oleksandr Pavlyk
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 manifo…
Quasi-conformal actions, quaternionic discrete series and twistors: SU(2,1) and G_2(2)
Murat Gunaydin, Andrew Neitzke, Oleksandr Pavlyk +1
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…
A Unified Approach to the Minimal Unitary Realizations of Noncompact Groups and Supergroups
Murat Gunaydin, Oleksandr Pavlyk
We study the minimal unitary representations of non-compact groups and supergroups obtained by quantization of their geometric realizations as quasi-conformal groups and supergroup…
Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups
M. Gunaydin, O. 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 algeb…
Superstars and Giant Gravitons
Robert C. Myers, Oyvind Tafjord
We examine a family of BPS solutions of ten-dimensional type IIb supergravity. These solutions asymptotically approach AdS_5 X S^5 and carry internal `angular' momentum on the five…