401 research outputs found
Special geometry on the 101 dimesional moduli space of the quintic threefold
A new method for explicit computation of the CY moduli space metric was
proposed by the authors recently. The method makes use of the connection of the
moduli space with a certain Frobenius algebra. Here we clarify this approach
and demonstrate its efficiency by computing the Special geometry of the
101-dimensional moduli space of the quintic threefold around the orbifold
point.Comment: We made exposition more clear, in particular we explained how to
generalize our idea
Open minimal strings and open Gelfand-Dickey hierarchies
We study the connection between minimal Liouville string theory and
generalized open KdV hierarchies. We are interested in generalizing Douglas
string equation formalism to the open topology case. We show that combining the
results of the closed topology, based on the Frobenius manifold structure and
resonance transformations, with the appropriate open case modification, which
requires the insertion of macroscopic loop operators, we reproduce the
well-known result for the expectation value of a bulk operator for the FZZT
brane coupled to the general (q,p) minimal model. The matching of the results
of the two setups gives new evidence of the connection between minimal
Liouville gravity and the theory of Topological Gravity
Special geometry on the moduli space for the two-moduli non-Fermat Calabi-Yau
We clarify the recently proposed method to compute a Special K\"ahler metric
on a Calabi-Yau complex structures moduli space that uses the fact that the
moduli space is a subspace of specific Frobenius manifold. We apply this method
to computing the Special K\"ahler metric in a two-moduli non-Fermat model which
has been unknown until now
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