Ref HAL: hal-02152774_v1
Ref Arxiv: 1806.07232
DOI: 10.1007/s11005-019-01182-y
WoS: 000484976800002
Ref. & Cit.: NASA ADS
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4 Citations
Résumé:

Automorphisms of the infinite dimensional Onsager algebra are introduced. Certain quotients of the Onsager algebra are formulated using a polynomial in these automorphisms. In the simplest case, the quotient coincides with the classical analog of the Askey-Wilson algebra. In the general case, generalizations of the classical Askey-Wilson algebra are obtained. The corresponding class of solutions of the non-standard classical Yang-Baxter algebra are constructed, from which a generating function of elements in the commutative subalgebra is derived. We provide also another presentation of the Onsager algebra and of the classical Askey-Wilson algebras.

Ref HAL: hal-01781942_v1
Ref Arxiv: 1804.06928
Ref INSPIRE: 1668938
DOI: 10.4310/ATMP.2019.v23.n3.a2
Ref. & Cit.: NASA ADS
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Résumé:

Inspired by the split attractor flow conjecture for multi-centered black hole solutions in $N = 2$ supergravity, we propose a formula expressing the BPS index $\Omega (\gamma , z)$ in terms of ‘attractor indices’ $\Omega_{\ast} (\gamma_i)$. The latter count BPS states in their respective attractor chamber. This formula expresses the index as a sum over stable flow trees weighted by products of attractor indices. We show how to compute the contribution of each tree directly in terms of asymptotic data, without having to integrate the attractor flow explicitly. Furthermore, we derive new representations for the index which make it manifest that discontinuities associated to distinct trees cancel in the sum, leaving only the discontinuities consistent with wall-crossing. We apply these results in the context of quiver quantum mechanics, providing a new way of computing the Betti numbers of quiver moduli spaces, and compare them with the Coulomb branch formula, clarifying the relation between attractor and single-centered indices.

Ref HAL: hal-01743450_v1
Ref Arxiv: 1803.08110
DOI: 10.1103/PhysRevE.99.052409
WoS: WOS:000469026300012
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2 Citations
Résumé:

Many theoretical works have attempted to coarse grain gene expression at the level of transcription and translation via frameworks based on exclusion processes. Usually in these models the three-dimensional conformation of the substrates (DNA and mRNA) is neglected, and particles move on a static unidimensional lattice in contact to an infinite reservoir. In this work we generalise the paradigmatic exclusion process and study the transport of particles along a unidimensional polymer-like flexible lattice immersed in a three-dimensional particle reservoir. We study the recycling of particles in the reservoir, how the transport is influenced by the conformation of the lattice and, in turn, how particle density dictates the structure of the polymer.

Commentaires: 5 pages, 4 figures

Ref HAL: hal-01428923_v1
Ref Arxiv: 1611.10327
DOI: 10.1142/S0217751X19500040
WoS: WOS:000456817300004
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé:

General forms of the K ̈ahler and superpotenials that lead toconsistent low energy broken Super-symmetry originating fromN= 1 Supergravity have been classified and used for model buildingsince more than three decades. We point out the incompleteness of this classification when hiddensector vacuum expectation values are of the order of the Planck mass. Focusing in this paper mainly on the case of minimal Kahler potential, we adopt a rigorous approach that retrieves on the one hand the known forms, and demonstrate on the other hand the existence of a whole set of new forms for the superpotential of which we give a complete classification. The latter forms involve a new type of chiral superfields having the unusual property of belonging neither to the hidden sector nor to the conventional observable sector. Comparing the obtained forms with the conventional ones, we argue how new possibilities for model building can arise, and discuss the gravity mediation of soft as well as additional hard (but parametrically small) Supersymmetry breaking, in the presence of the new type of chiral superfields. In the simplest case, we study the vacuum structure, characterize the masses and couplings of the scalar components to the hidden and observable sectors and discuss briefly the physical role they could play. In the generic case, we estimate the magnitude and possible consequences of the hard breaking of Supersymmetry in terms of the interplay between hidden and visible sectors mass scales.

Commentaires: 63 pages