61 citations · 157 across the 6 of their papers we have counts for
6 papers
DisCo: Physics-Based Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems
Adam Rupe, Nalini Kumar, Vladislav Epifanov +8
Extracting actionable insight from complex unlabeled scientific data is an open challenge and key to unlocking data-driven discovery in science. Complementary and alternative to su…
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…
Minimal Unitary Realizations of Exceptional U-duality Groups and Their Subgroups as Quasiconformal Groups
M. Gunaydin, O. Pavlyk
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 realizatio…
Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies
Oleksandr Pavlyk
The dispersionless limit of generalized Drinfeld-Sokolov hierarchies associated to primitive regular conjugacy class of Weyl group W(g) is discussed. The map from these generalized…