- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
Permanent URI for this collection
10 results
Filters
Reset filtersSettings
Statistics
Citations
Search Results
Now showing
1 - 10 of 10
-
ItemNo Preview AvailableThe abelian cosets of the Heisenberg groupD'Appollonio, G ; Quella, T (SPRINGER, 2007-11-01)
-
ItemNo Preview AvailableThe diagonal cosets of the Heisenberg groupD'Appollonio, G ; Quella, T (SPRINGER, 2008-05-01)
-
ItemNo Preview AvailableNew boundary conditions for the c =-2 ghost systemCreutzig, T ; Quella, T ; Schomerus, V (AMER PHYSICAL SOC, 2008-01-01)
-
ItemNo Preview AvailablePrincipal chiral model on superspheresMitev, V ; Quella, T ; Schomerus, V (SPRINGER, 2008-11-01)
-
ItemNo Preview AvailableBranes in the GL(1 vertical bar 1) WZNW modelCreutzig, T ; Quella, T ; Schomerus, V (ELSEVIER, 2008-04-01)
-
ItemNo Preview AvailableBoundary spectra in superspace sigma-modelsQuella, T ; Schomerus, V ; Creutzig, T (SPRINGER, 2008-10-01)
-
ItemNo Preview AvailableRepresentation theory of sl(2 vertical bar 1)Gotz, G ; Quella, T ; Schomerus, V (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007-06-15)
-
ItemNo Preview AvailableReflection and transmission for conformal defectsQuella, T ; Runkel, I ; Watts, GMT (SPRINGER, 2007-04-01)
-
ItemNo Preview AvailableFree fermion resolution of supergroup WZNW modelsQuella, T ; Schomerus, V (SPRINGER, 2007-09-01)
-
ItemNo Preview AvailableThe 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.