School of Mathematics and Statistics - Research Publications

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Start date: 2006 × End date: 2009 × Author: Quella, Thomas ×

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    The abelian cosets of the Heisenberg group
    D'Appollonio, G ; Quella, T (SPRINGER, 2007-11-01)
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    The diagonal cosets of the Heisenberg group
    D'Appollonio, G ; Quella, T (SPRINGER, 2008-05-01)
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    New boundary conditions for the c =-2 ghost system
    Creutzig, T ; Quella, T ; Schomerus, V (AMER PHYSICAL SOC, 2008-01-01)
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    Principal chiral model on superspheres
    Mitev, V ; Quella, T ; Schomerus, V (SPRINGER, 2008-11-01)
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    Branes in the GL(1 vertical bar 1) WZNW model
    Creutzig, T ; Quella, T ; Schomerus, V (ELSEVIER, 2008-04-01)
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    Boundary spectra in superspace sigma-models
    Quella, T ; Schomerus, V ; Creutzig, T (SPRINGER, 2008-10-01)
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    Representation theory of sl(2 vertical bar 1)
    Gotz, G ; Quella, T ; Schomerus, V (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007-06-15)
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    Reflection and transmission for conformal defects
    Quella, T ; Runkel, I ; Watts, GMT (SPRINGER, 2007-04-01)
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    Free fermion resolution of supergroup WZNW models
    Quella, T ; Schomerus, V (SPRINGER, 2007-09-01)
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    The WZNW model on PSU(1,1|2)
    Gotz, G ; Quella, T ; Schomerus, V (Springer, 2007-03-01)
    According to the work of Berkovits, Vafa and Witten, the non-linear sigma model on the supergroup PSU(1,1|2) is the essential building block for string theory on AdS3 × S3 × T4. Models associated with a non-vanishing value of the RR flux can be obtained through a psu(1,1|2) invariant marginal deformation of the WZNW model on PSU(1,1|2). We take this as a motivation to present a manifestly psu(1,1|2) covariant construction of the model at the Wess-Zumino point, corresponding to a purely NSNS background 3-form flux. At this point the model possesses an enhanced psu(1,1|2) current algebra symmetry whose representation theory, including explicit character formulas, is developed systematically in the first part of the paper. The space of vertex operators and a free fermion representation for their correlation functions is our main subject in the second part. Contrary to a widespread claim, bosonic and fermionic fields are necessarily coupled to each other. The interaction changes the supersymmetry transformations, with drastic consequences for the multiplets of localized normalizable states in the model. It is only this fact which allows us to decompose the full state space into multiplets of the global supersymmetry. We analyze these decompositions systematically as a preparation for a forthcoming study of the RR deformation.