Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-03-24
Phys.Lett.B352:276-285,1995
Physics
High Energy Physics
High Energy Physics - Theory
16 pages (A4), LaTeX
Scientific paper
10.1016/0370-2693(95)00504-E
We show that the numbers of generations and anti-generations of a (2,2) string compactification with diagonal internal theory can be expressed in terms of certain specifications of the elliptic genus of the untwisted internal theory which can be computed from the Poincare polynomial. To establish this result we show that there are no cancellations of positive and negative contributions to the Euler characteristic within a fixed twisted sector. For our considerations we recast the orbifolding procedure into an algebraic language using simple currents. Turning the argument around, this allows us to define the `extended Poincare polynomial' P(t,x), which encodes information on the orbits of the spinor current under fusion, for non-diagonal N=2 superconformal field theories. As an application, we derive an explicit formula for P(t,x) for general Landau-Ginzburg orbifolds.
Kreuzer Maximilian
Schweigert Christoph
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