Results 31 to 40 of about 43,752 (85)

The Cardy-Cartan modular invariant [PDF]

, 2012
Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or Cardy, type as characters of coends in categories that share essential features with the ones appearing in logarithmic CFT. The coefficients of
Fuchs, Jurgen, Schweigert, Christoph, Stigner, Carl   +2 more
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Atom graph, partial Boolean algebra and quantum contextuality [PDF]

Quantum Information Processing
Partial Boolean algebra underlies the quantum logic as an important tool for quantum contextuality. We propose the notion atom graphs to reveal the graph structure of partial Boolean algebra for finite dimensional quantum systems by proving that (i) the ...
Songyi Liu, Yongjun Wang, Baoshan Wang, Jian Yan, Heng Zhou   +4 more
semanticscholar   +1 more source

Bicategories for boundary conditions and for surface defects in 3-d TFT

, 2013
We analyze topological boundary conditions and topological surface defects in three-dimensional topological field theories of Reshetikhin-Turaev type based on arbitrary modular tensor categories. Boundary conditions are described by central functors that
A. Joyal, A. Kapustin, A. Kitaev, A.A. Davydov, A.A. Davydov, A.A. Kirillov, A.D. Lauda, Alessandro Valentino, B. Pareigis, Christoph Schweigert, E. Witt, G. Delfino, G. Moore, G. Moore, G.M.T. Watts, J. Fröhlich, J. Fröhlich, J. Fuchs, J. Fuchs, J. Fuchs, J. Greenough, Jürgen Fuchs, M. Khovanov, M. Müger, M. Müger, N.Yu. Reshetikhin, P. Bowcock, P. Schauenburg, P.I. Etingof, P.I. Etingof, R. Bezrukavnikov, S. Beigi, V. Ostrik, V.B. Petkova, V.G. Drinfeld, V.G. Drinfeld   +35 more
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Hopf algebras and finite tensor categories in conformal field theory [PDF]

, 2010
In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the representation categories of the underlying chiral symmetry algebras with ...
Fuchs, Jurgen, Schweigert, Christoph
core  

Geometry of Quantum Spheres

, 2005
Spectral triples on the q-deformed spheres of dimension two and three are reviewed.Comment: 23 pages ...
Brzezinski, Brzezinski, Chakraborty, Chamseddine, Chamseddine, Connes, Connes, Connes, Connes, Connes, Connes, Da¸browski, Da¸browski, Gracia-Bondía, Hajac, Landi, Ludwik Da¸browski, Podleś, Podleś, Woronowicz   +19 more
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Quantum group symmetry of integrable systems with or without boundary

, 2002
We present a construction of integrable hierarchies without or with boundary, starting from a single R-matrix, or equivalently from a ZF algebra. We give explicit expressions for the Hamiltonians and the integrals of motion of the hierarchy in term of ...
E. RAGOUCY, Mintchev M., Mintchev M., Sklyanin E.   +3 more
core   +2 more sources

Drinfeld Functor and Finite-Dimensional Representations of Yangian

, 1998
We extend the results of Drinfeld on Drinfeld functor to the case l>n. We present the character of finite-dimensional representations of the Yangian Y(sl_n) in terms of the Kazhdan-Lusztig polynomials as a consequence.Comment: Latex2e, 17pages, corrected
Arakawa, Tomoyuki
core   +1 more source

Tropicalization method in cluster algebras

, 2012
This is a brief survey on the recently developing tropicalization method in cluster algebras and its applications to the periodicities of Y-systems and the associated dilogarithm identities.Comment: 21 pages, prepared for the proceedings of "Tropical ...
Nakanishi, Tomoki
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Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra

, 2012
We rederive a popular nonsemisimple fusion algebra in the braided context, from a Nichols algebra. Together with the decomposition that we find for the product of simple Yetter-Drinfeld modules, this strongly suggests that the relevant Nichols algebra ...
A. Bruguières, A. M. Gainutdinov, A. M. Gainutdinov, A. M. Semikhatov, A. M. Semikhatov, A. M. Semikhatov, A. Yu. Alekseev, B. L. Feigin, B. L. Feigin, B. L. Feigin, D. Adamović, D. Adamović, D. Kazhdan, G. Moore, H. G. Kausch, H. Kondo, I. Angiono, I. Heckenberger, I. Heckenberger, J. Fröhlich, J. Fuchs, J. Fuchs, J. Murakami, J. Xiao, M. Finkelberg, M. Graña, M. Graña, M. Graña, M. R. Gaberdiel, M. R. Gaberdiel, M. R. Gaberdiel, M. R. Gaberdiel, M. Rosso, M. Rosso, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, N. Andruskiewitsch, P. Furlan, P. Schauenburg, P. Schauenburg, P. V. Bushlanov, R. Suter, R. Vasseur, S. L. Woronowicz, S. Majid, V. G. Turaev, W. D. Nichols, Yu. N. Bespalov, Yu. N. Bespalov, Yu. N. Bespalov, Yu. N. Bespalov   +56 more
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Covariant q-differential operators and unitary highest weight representations for U_q su(n,n)

, 2005
We investigate a one-parameter family of quantum Harish-Chandra modules of U_q sl(2n). This family is an analog of the holomorphic discrete series of representations of the group SU(n,n) for the quantum group U_q su(n, n). We introduce a q-analog of "the
Chari V., Dmitry Shklyarov, Drinfeld V. G., Genkai Zhang, Hua L.-K., Jakobsen H. P., Jakobsen H. P., Jantzen J. C., Koelink H. T., Shklyarov D., Vaksman L., Ørsted B.   +11 more
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