603 research outputs found
Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
No full textSolutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of q-Wakimoto modules are shown to coincide with those of Tarasov and Varchenko.We would like to thank Hitoshi Konno and Yasuhiko Yamada for valuable discussions and
comments. We are also grateful to Atsushi Matsuo for useful comments on the manuscript
Investigation on the structural theory of elliptic quantum groups
No full textIn this thesis, we investigate a new type of elliptic quantum affine algebra Uq,p(sl̂2) developed by Hitoshi Konno. We first provide detailed proofs for some important properties listed on Konno's papers. We then compare it with Felder's elliptic algebra Eτ,ƞ(sl2) and find some similar results on Konno's type. Finally we study the degeneration limit of Uq,p(sl̂2) when q→1 by considering another elliptic algbera Aq,p(sl̂2) and its degeneration limit Aħ,ƞ(sl̂2).</p
Elliptic quantum groups: representations and related geometry
No full textThis is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinite-dimensional representations, and a construction of the vertex operators as intertwining operators of these representations. The vertex operators are important objects in representation theory of quantum groups. In this book, they are used to derive the elliptic q-KZ equations and their elliptic hypergeometric integral solutions. In particular, the so-called elliptic weight functions appear in such solutions. The author’s recent study showed that these elliptic weight functions are identified with Okounkov’s elliptic stable envelopes for certain equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov’s geometric approach to quantum integrable systems is a rapidly growing topic in mathematical physics related to the Bethe ansatz, the Alday-Gaiotto-Tachikawa correspondence between 4D SUSY gauge theories and the CFT’s, and the Nekrasov-Shatashvili correspondences between quantum integrable systems and quantum cohomology. To invite the reader to such topics is one of the aims of this book
Erratum: The histone demethylase JMJD2B regulates endothelial-to-mesenchymal transition (Proceedings of the National Academy of Sciences of the United States of America (2020) 117 (4180-4187) DOI: 10.1073/pnas.1913481117)
No full textCorrection for “The histone demethylase JMJD2B regulates endothelial-to-mesenchymal transition,” by Simone F. Glaser, Andreas W. Heumüller, Lukas Tombor, Patrick Hofmann, Marion Muhly-Reinholz, Ariane Fischer, Stefan Günther, Karoline E. Kokot, David Hassel, Sandeep Kumar, Hanjoong Jo, Reinier A. Boon, Wesley Abplanalp, David John, Jes-Niels Boeckel, and Stefanie Dimmeler, which was first published February 7, 2020; 10.1073/pnas.1913481117 (Proc. Natl. Acad. Sci. U.S.A. 117, 4180-4187). The authors note that Hitoshi Okada should be added to the author list between Karoline E. Kokot and David Hassel. Hitoshi Okada should be credited with providing mice. The corrected author line, affiliation line, and author contributions appear below. The online version has been corrected
Gelfand-Tsetlin Bases for Elliptic Quantum Groups
No full textWe study the level-0 representations of the elliptic quantum group . We give a classification theorem of the finite-dimensional irreducible representations of in terms of the theta function analogue of the Drinfeld polynomial for the quantum affine algebra . We also construct the Gelfand-Tsetlin bases for the level-0 -modules following the work by Nazarov-Tarasov for the Yangian -modules. This is a construction in terms of the Drinfeld generators. For the case of tensor product of the vector representations, we give another construction of the Gelfand-Tsetlin bases in terms of the -operators and make a connection between the two constructions. We also compare them with those obtained by the first author by using the -action realized by the elliptic dynamical -matrix on the standard bases. As a byproduct, we obtain an explicit formula for the partition functions of the corresponding 2-dimensional square lattice model in terms of the elliptic weight functions of type .61 page
Exact form-factor results for the longitudinal structure factor of the massless XXZ model in zero field
No full textWe consider the XXZ quantum spin chain in its massless, disordered regime at zero field. We derive an exact expression for the two-spinon form-factor of Sz = 1/2σz by taking a limit of the massive XYZ form-factors found by Lashkevich and by Lukyanov and Terras. This result is used to find the two-spinon contribution to the spectral decomposition of the longitudinal structure factor Szz(k, w). We find that this contribution provides an accurate approximation to the full structure factor over a wide range of the anisotropy parameter. The asymptotic behaviour of Szz(k, w) is computed as the upper and lower w thresholds of the two-spinon (w, k) band are approached, and an analysis of the region of validity of this threshold behaviour is performed. Our results reproduce and refine existing threshold behaviour predictions and extend these results to an accurate description throughout the two-spinon continuum
ERRATA
No full textVolume and issue: Vol.6, No.7 (2011)Page: pp.317-322Title: Contribution of Slip and Cleavage in Friction and Wear at (10-14) Surface of Magnesite (MgCO3) CrystalAuthor(s): Kaori Niki, Mai Kobayashi and Hitoshi ShindoVolume and issue: Vol.7, No.1 (2012)Page: pp.8-12Title: Frictional Asymmetry and Wear Pattern Formation by Slip and Cleavage Detected at Directional r {10-14} Face of Calcite (CaCO3)Author(s): Kaori Niki, Mai Kobayashi and Hitoshi Shind
Letter from John Lancaster, Unit President, A.I.F.D., January 29, 1970
No full textLetter from John Lancaster, Chairman, American Institute of Floral Designers (A.I.F.D) addressed to the florists who are interested in attending the Yoke Kuromi Memorial Dinner.This collection contains two photograph albums and material related to Hitoshi "Yoke" Kuromi and Corrine Nobuko Nishimura Kuromi. Subjects in the collection include the Kuromi family, the Gila River incarceration camp, and hot rods, and classic cars
Letter from John Lancaster, Unit President, A.I.F.D., January 29, 1970
No full textLetter from John Lancaster, Unit President, American Institute of Floral Designers (A.I.F.D.), possibly addressed to the Southern California Teleflora Unit about the funeral for Yoke Kuromi.This collection contains two photograph albums and material related to Hitoshi "Yoke" Kuromi and Corrine Nobuko Nishimura Kuromi. Subjects in the collection include the Kuromi family, the Gila River incarceration camp, and hot rods, and classic cars
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