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B.R.S. renormalisation of some on-shell closed algebras of symmetry transformations : N=2 and 4 supersymmetric non-linear sigma models | | Guy Bonneau
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6 Jun 1994 | | Journal: | Helv.Phys.Acta 67 (1994) 954-991 | | Subject: | hep-th | | Abstract: | We analyse with the algebraic, regularisation independant, cohomological B.R.S. methods, the renormalisability of torsionless N=2 and N= 4 supersymmetric non-linear $si$ models built on Kähler spaces. Surprisingly enough with respect to the common wisdom, in the case of N=2 supersymmetry, we obtain an anomaly candidate, at least in the compact Kähler Ricci-flat case. If its coefficient does differ from zero, such anomaly would imply the breaking of global N=2 supersymmetry and get into trouble some schemes of superstring compactification as such non-linear $si$ models offer candidates for the superstring vacuum state. In the compact homogeneous Kähler case, as expected, the anomaly candidate disappears. The same phenomena occurs when one enforces N=4 supersymmetry : in that case, we obtain the first rigorous proof of the expected all-orders renormalisability -`` in the space of metrics"- of the corresponding non-linear $si$ models. PAR/LPTHE/94-11 | | Source: | arXiv, hep-th/9406031 | | Services: | Forum | Review | PDF | Favorites | |
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