%0 Journal Article %1 DiVecchia1985701 %A Vecchia, P. Di %A Knizhnik, V. G. %A Petersen, J. L. %A Rossi, P. %D 1985 %J Nuclear Physics B %K D2 WessZuminoModel %P 701 - 726 %R DOI: 10.1016/0550-3213(85)90554-1 %T A supersymmetric Wess-Zumino lagrangian in two dimensions %U http://www.sciencedirect.com/science/article/B6TVC-47317CP-MF/2/369c4632bfd7b7260d2a51a601177579 %V 253 %X We construct a supersymmetric version of the Wess-Zumino action in two dimensions. For a special value of the coupling constant gamma2 = 4pi/n it turns out that this theory consists of the original WZ action plus free fermions in the adjoint representation. By bosonization such a theory should be equivalent to a theory of two sets of free fermions. We study in some detail how supersymmetry is realized in these two theories. We further develop the general formalism for studying any two-dimensional quantum theory that is superconformal and super-Kac-Moody invariant, the SWZ theory and the particular free Fermi theory being examples. We generalize and apply this formalism to prove the equivalence of SWZ to a free Fermi theory.

@article{DiVecchia1985701, abstract = {We construct a supersymmetric version of the Wess-Zumino action in two dimensions. For a special value of the coupling constant [gamma]2 = 4[pi]/n it turns out that this theory consists of the original WZ action plus free fermions in the adjoint representation. By bosonization such a theory should be equivalent to a theory of two sets of free fermions. We study in some detail how supersymmetry is realized in these two theories. We further develop the general formalism for studying any two-dimensional quantum theory that is superconformal and super-Kac-Moody invariant, the SWZ theory and the particular free Fermi theory being examples. We generalize and apply this formalism to prove the equivalence of SWZ to a free Fermi theory.}, added-at = {2009-04-08T14:45:55.000+0200}, author = {Vecchia, P. Di and Knizhnik, V. G. and Petersen, J. L. and Rossi, P.}, biburl = {https://www.bibsonomy.org/bibtex/2e2788a249a7f8d32b50a52fdec67d062/gber}, description = {Not relevant ScienceDirect - Nuclear Physics B : A supersymmetric Wess-Zumino lagrangian in two dimensions}, doi = {DOI: 10.1016/0550-3213(85)90554-1}, interhash = {ffa188e282d668b74a043b1cd91d9088}, intrahash = {e2788a249a7f8d32b50a52fdec67d062}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {D2 WessZuminoModel}, pages = {701 - 726}, timestamp = {2009-04-08T14:45:55.000+0200}, title = {A supersymmetric Wess-Zumino lagrangian in two dimensions}, url = {http://www.sciencedirect.com/science/article/B6TVC-47317CP-MF/2/369c4632bfd7b7260d2a51a601177579}, volume = 253, year = 1985 }