Ramond Sector Characters and N=2 Landau-Ginzburg Models

Details Ramond Sector Characters and N=2 Landau-Ginzburg Models Ramond Sector Characters and N=2 Landau-Ginzburg Models

1993-05-10

arxiv.org/abs/hep-th/9305037v1

Nucl.Phys. B409 (1993) 186-210

Physics

High Energy Physics

High Energy Physics - Theory

25p , uses harvmac (b), Saclay preprint SPhT 93/049 and Tel-Aviv University preprint TAUP 2047-93

Scientific paper

10.1016/0550-3213(93)90452-U

We give a direct proof of the new "product" expression for the Ramond sector characters of N=2 minimal models recently suggested by E. Witten. Our construction allows us to generalize these expressions to the D and E series of N=2 minimal models, as well as to other N=2 Kazama--Suzuki coset models such as $SU(N)\times SO(2(N-1))/SU(N-1)\times U(1)$. We verify that these expressions indeed coincide with the corresponding Landau--Ginzburg "elliptic genus", a certain topologically invariant twisted path integral with the effective Landau--Ginzburg action, which we obtain by using Witten's method. We indicate how our approach may be used to construct (or rule out) possible Landau--Ginzburg potentials for describing other N=2 superconformal theories.

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