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  • 1
    Electronic Resource
    Electronic Resource
    Exchange relations and correlation functions for a quantum particle on the SU2 group manifold (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 2130-2141 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The SO4 invariant quantum dynamics of a point particle moving on the 3 sphere (or equivalently, of the relative motion of the spherical top) is considered. Quantum exchange relations for different times are derived with an "R matrix'' depending on the time difference and on the conserved angular momentum. Their implications for correlation functions are spelled out. The chiral exchange relations of Alekseev and Faddeev [Commun. Math. Phys. 141, 413–422 (1991)] are also extended to different times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530871
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  • 2
    Electronic Resource
    Electronic Resource
    Quantum deformation of the ladder representations of U(1,1) for ||q||=1 (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 4255-4258 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Uq(u(1,1)) covariant creation and annihilation operators for q on the unit circle are constructed and the corresponding ladder and singleton representations are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529826
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  • 3
    Electronic Resource
    Electronic Resource
    SU3 coherent state operators and invariant correlation functions and their quantum group counterparts (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 2030-2052 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Coherent state operators (CSOs) are defined as operator valued functions on G=SL(n,C) being homogeneous with respect to right multiplication by lower triangular matrices. They act on a model space containing all holomorphic finite dimensional representations of G with multiplicity 1. CSOs provide an analytic tool for studying G invariant 2- and 3-point functions, which are written down in the case of SU3. The quantum group deformation of the construction gives rise to a noncommutative coset space. A "standard'' polynomial basis is introduced in this space (related to but not identical with the Lusztig canonical basis) that is appropriate for writing down Uq(sl3) invariant 2-point functions for representations of the type (λ,0) and (0,λ). General invariant 2-point functions are written down in a mixed Poincaré–Birkhoff–Witt type basis. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531100
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  • 4
    Electronic Resource
    Electronic Resource
    Superconformal current algebras and their unitary representations (1985)
    Springer
    Communications in mathematical physics 102 (1985), S. 337-347 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A natural supersymmetric extension $$(\widehat{dG})_\kappa$$ is defined of the current (= affine Kac-Moody Lie) algebra $$\widehat{dG}$$ ; it corresponds to a superconformal and chiral invariant 2-dimensional quantum field theory (QFT), and hence appears as an ingredient in superstring models. All unitary irreducible positive energy representations of $$(\widehat{dG})_\kappa$$ are constructed. They extend to unitary representations of the semidirect sumS κ(G) of $$(\widehat{dG})_\kappa$$ with the superconformal algebra of Neveu-Schwarz, for $$\kappa = \frac{1}{2}$$ , or of Ramond, for κ=0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01229384
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  • 5
    Electronic Resource
    Electronic Resource
    Superconformal current algebras and their unitary representations (1986)
    Springer
    Communications in mathematical physics 104 (1986), S. 175-175 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01210799
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  • 6
    Electronic Resource
    Electronic Resource
    Experimental induction of prenucleolar bodies (PNBs) in interphase cells: interphase PNBs show similar characteristics as those typically observed at telophase of mitosis in untreated cells (1997)
    Springer
    Chromosoma 105 (1997), S. 418-430 
    Details
    ISSN: 1432-0886
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract. Recently, it was shown that a short exposure of living mammalian cells to low ionic strength buffers (hypotonic shock) caused partial or almost complete unraveling of interphase nucleoli. However, when the cells were released from the hypotonic shock and transferred to normal isotonic medium, functionally active and structurally integral nucleoli were reassembled at their initial positions within interphase nuclei. Here, we show further that this process is accompanied by the appearance of numerous discrete extranucleolar bodies, which have striking similarities to the prenucleolar bodies (PNBs) observed in untreated cells at telophase of mitosis. (1) Like PNBs at mitosis, hypotonically induced interphase PNBs are composed of RNA-positive granules and fibrils, contain the major nucleolar protein B23 and silver-binding proteins, but lack DNA and RNA polymerase I transcription factor UBF. (2) As for mitotic PNBs, disappearance of the interphase PNB counterparts coincides with the increase in size of reconstructed nucleoli. (3) Addition of actinomycin D does not prevent assembly of interphase PNBs, but does arrest their coalescence with the chromosomal nucleolus-organizing regions and blocks the complete reformation of nucleoli. It is concluded that the assembly of PNBs generally observed at telophase of mitosis can be induced experimentally in nuclei of interphase mammalian cells in vivo. At interphase, this process is probably initiated by changes in the intracellular ionic environment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004120050203
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  • 7
    Electronic Resource
    Electronic Resource
    Affine Orbifolds and Rational Conformal Field Theory Extensions of W 1+∞ (1997)
    Springer
    Communications in mathematical physics 190 (1997), S. 57-111 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: Chiral orbifold models are defined as gauge field theories with a finite gauge group Γ. We start with a conformal current algebra associated with a connected compact Lie group G and a negative definite integral invariant bilinear form on its Lie algebra. Any finite group Γ of inner automorphisms or (in particular, any finite subgroup of G) gives rise to a gauge theory with a chiral subalgebra of local observables invariant under Γ. A set of positive energy modules is constructed whose characters span, under some assumptions on Γ, a finite dimensional unitary representation of . We compute their asymptotic dimensions (thus singling out the nontrivial orbifold modules) and find explicit formulae for the modular transformations and hence, for the fusion rules. As an application we construct a family of rational conformal field theory (RCFT) extensions of W 1+∞ that appear to provide a bridge between two approaches to the quantum Hall effect.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050234
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  • 8
    Electronic Resource
    Electronic Resource
    Characterizing invariants for local extensions of current algebras (1996)
    Springer
    Communications in mathematical physics 174 (1996), S. 605-633 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract ParisA ⊂ ℬ of local quantum field theories are studied, whereA is a chiral conformal quantum field theory and ℬ is a local extension, either chiral or two-dimensional. The local correlation functions of fields from ℬ have an expansion with respect toA into conformal blocks, which are non-local in general. Two methods of computing characteristic invariant ratios of structure constants in these expansions are compared: (a) by constructing the monodromy representation of the braid group in the space of solutions of the Knizhnik-Zamolodchikov differential equation, and (b) by an analysis of the local subfactors associated with the extension with methods from operator algebra (Jones theory) and algebraic quantum field theory. Both approaches apply also to the reverse problem: the characterization and (in principle) classification of local extensions of a given theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02101529
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  • 9
    Electronic Resource
    Electronic Resource
    On the schwarz problem for the $$\widehat{{\text{su}}}_{\text{2}} $$ Knizhnik-Zamolodchikov equation (1995)
    Springer
    Letters in mathematical physics 35 (1995), S. 123-134 
    Details
    ISSN: 1573-0530
    Keywords: 81T40 ; 81R10 ; 81R50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study the monodromy representationsℬ k,Iof the mapping class groupℬ 4 acting on 4-point blocks satisfying the Knizhnik-Zamolodchikov equation for the levelk su2 current algebra. We classify all irreducibleℬ k,Iwhich are realized by finite groups; we also display finite irreducible components for the reducible representations corresponding tok = 10.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00750762
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  • 10
    Electronic Resource
    Electronic Resource
    Generalized Cohomologies and the Physical Subspace of the SU(2) WZNW Model (1997)
    Springer
    Letters in mathematical physics 42 (1997), S. 183-192 
    Details
    ISSN: 1573-0530
    Keywords: WZNW model ; generalized cohomologies.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The zero modes of the monodromy extended SU(2) WZNW model give rise to a gauge theory with a finite-dimensional state space. A generalized BRS operator A such that $$A^h = 0\left( {h = k + 2 = 3,4,...} \right.$$ being the height of the current algebra representation) acts in $$\left( {2h - 1} \right)$$ -dimensional indefinite metric space $${\mathcal{H}}_I$$ of quantum group invariant vectors. The generalized cohomologies Ker $$A^n /{Im}\;A^{h - n} \left( {n = 1,...,h - 1} \right)$$ are 1-dimensional. Their direct sum spans the physical subquotient of $${\mathcal{H}}_I$$ .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007446222667
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