Abstract
It is shown that Kazama-Suzuki conditions for the denominator subgroup of N=2 superconformal G/H coset model determine Generalized Kähler geometry on the target space of the corresponding N=2 supersymmetric σ-model.
Highlights
It is well-known due to Gepner [1] that the unitary N=2 superconformal field theories play an important role in the construction of realistic models of superstring compactification from 10 to 4 dimensions
We show that Kazama-Suzuki conditions for the denominator subgroup H of N=2 superconformal G/H coset model determine in classical limit Generalized Kahler (GK) geometry on the target space of the corresponding σmodel
We show that Kazama-Suzuki conditions for the denominator subgroup H determine bi-Poisson geometry on the target space of the corresponding σ-model which comes from a pair of covariantly constant target-space complex structures which are skew-symmetric w.r.t to the metric
Summary
It is well-known due to Gepner [1] that the unitary N=2 superconformal field theories play an important role in the construction of realistic models of superstring compactification from 10 to 4 dimensions. We show that Kazama-Suzuki conditions for the denominator subgroup H of N=2 superconformal G/H coset model determine in classical limit GK geometry on the target space of the corresponding σmodel. We show that Kazama-Suzuki conditions for the denominator subgroup H determine bi-Poisson geometry on the target space of the corresponding σ-model which comes from a pair of covariantly constant target-space complex structures which are skew-symmetric w.r.t to the metric.
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