5 research outputs found

    Boundary algebras of the Kitaev Quantum Double model

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    The recent article [arXiv:2307.12552] gave local topological order (LTO) axioms for a quantum spin system, showed they held in Kitaev's Toric Code and in Levin-Wen string net models, and gave a bulk boundary correspondence to describe bulk excitations in terms of the boundary net of algebras. In this article, we prove the LTO axioms for Kitaev's Quantum Double model for a finite group GG. We identify the boundary nets of algebras with fusion categorical nets associated to (Hilb(G),C[G])(\mathsf{Hilb}(G),\mathbb{C}[G]) or (Rep(G),CG)(\mathsf{Rep}(G),\mathbb{C}^G) depending on whether the boundary cut is rough or smooth respectively. This allows us to make connections to work of Ogata on the type of the cone von Neumann algebras in the algebraic quantum field theory approach to topological superselection sectors. We show that the boundary algebras can also be calculated from a trivial GG-symmetry protected topological phase (GG-SPT), and that the gauging map preserves the boundary algebras. Finally, we compute the boundary algebras for the (3+1)D Quantum Double model associated to an abelian group.Comment: 18 pages, many tikz figure

    Ex Situ Propagation of Philippine Rafflesia in the United States: Challenges and Prospects

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    The large-flowered parasitic genus Rafflesia R.Br. (Rafflesiaceae) has long fascinated naturalists and scientists and is an iconic symbol for plant conservation. Techniques to effectively propagate members of the genus outside of their natural habitat are sparse, and grafting infected Tetrastigma K.Schum.(Vitaceae) host plants has previously been reported as a successful strategy for ex situ conservation of Rafflesia. Here we report our attempts in the United States to propagate host cuttings infected with Rafflesia speciosa Barcelona & Fernando and R. lagascae Blanco collectedfrom the Philippines, as well as uninfected host material. We also describe efforts to germinate R. speciosa seeds in vitro using various plant growth regulators (PGRs). After rooting, infected host cuttings survived for a maximum of 11 months, but did not produce shoots. However, an uninfected cutting of T. cf. magnum grafted onto an established Malaysian species of Tetrastigma in June 2017 has succeeded in the commencement of new growth. Three propagules of a second potential host, T. harmandii Planch., have also been vigorously growing at the United States Botanic Garden since June 2017. However, Rafflesia seeds did not germinate with the application of PGRs, even though the seeds were viable according to tetrazolium (TZ) testing.These ex situ propagation attempts have revealed challenges in propagating these species outside of their native ranges, but our incremental success in rooting infected Tetrastigma, as well as grafting interspecific Tetrastigma species, bodes well for further advances. With Philippine host species, T. harmandii and T. cf. magnum in cultivation, we can begin using these specimens for future experimentation involving grafting of infected material and Rafflesia seed inoculation trials.Furthermore, we describe new avenues of propagation techniques for Rafflesia as practised by Marius Gabin, one of the owners of the Vivian Rafflesia garden, which contains a natural Rafflesia forest habitat at Poring Springs, Sabah, Malaysia. Gabin openly shared his successes in artificially inoculating Rafflesia seeds into a mature Tetrastigma vine. Gabin’s willingness to share his experience highlights the importance of collaborating with practitioners who have developed local knowledge of Rafflesia horticulture and conservation

    The role of CITES Rescue Centers in orchid conservation: concerns and questions raised by the collaboration on an endangered slipper orchid (Paphiopedilum vietnamense O. Gruss & Perner)

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    The Convention on the International Trade in Endangered Species (CITES) is an international treaty currently adopted by 169 member countries to regulate international trade in over 30,000 species of animal and plants. Plants that are not transported in accordance with CITES requirements may be either denied entry, and sometimes abandoned, or subject to seizure by enforcement officials in importing coun- tries. Instead of being destroyed, abandoned or con- fiscated plants may be returned to the range countries or sent to CITES Rescue Centers, which are public museums or botanical gardens in member countries where the plants are cared for and cultivated.  The Convention on the International Trade in Endangered Species (CITES) is an international treaty currently adopted by 169 member countries to regulate international trade in over 30,000 species of animal and plants. Plants that are not transported in accordance with CITES requirements may be either denied entry, and sometimes abandoned, or subject to seizure by enforcement officials in importing coun- tries. Instead of being destroyed, abandoned or con- fiscated plants may be returned to the range countries or sent to CITES Rescue Centers, which are public museums or botanical gardens in member countries where the plants are cared for and cultivated.
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