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Chapter and Conference Paper
NICA Project at JINR
The project of Nuclotron-based Ion Collider fAcility (NICA) is under development at JINR (Dubna). The general goals of the project are providing of colliding beams for experimental studies of both hot and dense s...
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Article
Explicit Semi-invariants and Integrals of the Full Symmetric \({\mathfrak{sl}_n}\) Toda Lattice
We show how to construct semi-invariants and integrals of the full symmetric \({\mathfrak{sl}_n}\) ...
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Article
Open AccessOn the topology of the inflaton field in minimal supergravity models
We consider global issues in minimal supergravity models where a single field inflaton potential emerges. In a particular case we reproduce the Starobinsky model and its description dual to a certain formulati...
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Article
Extremal multicenter black holes: nilpotent orbits and Tits Satake universality classes
Four dimensional supergravity theories whose scalar manifold is a symmetric coset manifold UD=4/Hc are arranged into a finite list of Tits Satake universality classes. Stationary solutions of these theories, sphe...
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Article
Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits
In this paper we apply in a systematic way a previously developed integration algorithm of the relevant Lax equation to the construction of spherical symmetric, asymptotically flat black hole solutions of ...
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Article
Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras
In this paper we show that the supergravity equations describing both cosmic billiards and a large class of black-holes are, generically, both Liouville integrable as a consequence of the same universal mechan...
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Article
N = 2 Supersymmetric Unconstrained Matrix GNLS Hierarchies are Consistent
We develop a pseudo-differential approach to the N = 2 supersymmetric unconstrained matrix (k|n, m)-generalized nonlinear Schrödinger hierarchies and prove consistency of the corresponding Lax-pair representation...
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Article
Deformation and Recursion for the N=2 α=1 Supersymmetric KdV Hierarchy
A detailed description is given for the construction of the deformation of the N=2 supersymmetric α=1 KdV equation, leading to the recursion operator for symmetries and the zero-order Hamiltonian structure; the s...
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Book