Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-07-30
Physics
High Energy Physics
High Energy Physics - Theory
latex file, 8 pages
Scientific paper
We analyse with the algebraic, regularisation independent, cohomological B.R.S. methods, the renormalisability of torsionless N=2 supersymmetric non-linear $\si$ models built on compact K\"ahler spaces. Surprisingly enough with respect to the common wisdom, we obtain an anomaly candidate, when the Hodge number $h^{3,0}$ of the target space manifold is different from zero : this occurs in particular in the Calabi-Yau case. On the contrary, in the compact homogeneous K\"ahler case, the anomaly candidate disappears.
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