A new approach for computing the geometry of the moduli spaces for a Calabi-Yau manifold
Abstract
It is known that moduli spaces of Calabi-Yau (CY) manifolds are special Kähler manifolds. This structure determines the corresponding low-energy effective theory which arises in superstring compactifications on CY manifolds. In the case where a CY manifold is given as a hypersurface in the weighted projective space, we propose a new procedure for computing the Kähler potential of the moduli space. Our method is based on the fact that the moduli space of CY manifolds is a marginal subspace of the Frobenius manifold which arises on the deformation space of the corresponding Landau-Ginzburg superpotential.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- February 2018
- DOI:
- 10.1088/1751-8121/aa9e7a
- arXiv:
- arXiv:1706.05342
- Bibcode:
- 2018JPhA...51e5403A
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- doi:10.1088/1751-8121/aa9e7a