jaxvacua.conifold.coniLCS_prepotential.F_coniLCS_bulk_per

F_coniLCS_bulk_per(self, XPer, conj=False)

Computes the bulk approximation to the coniLCS prepotential.

Details

In the coniLCS_bulk limit the conifold modulus \(X^{\mathrm{cf}}\) is integrated out at leading order, leaving an effective correction to the polynomial part of the prepotential. The leading effect is a shift of the linear coefficient \(b_0 \to b_0 + n_{\mathrm{cf}}/24\), which translates to an additive term

\[F_{\mathrm{bulk}}(X) = F_{\mathrm{LCS}}(X) + \frac{n_{\mathrm{cf}}}{24}\,(q^{\mathrm{cf}}_i\, X^i)\, X^0 \,,\]

where \(q^{\mathrm{cf}}_i\) is the charge vector of the conifold curve (stored in lcs_tree.conifold.conifold_curve0) and \(n_{\mathrm{cf}}\) is its GV invariant. This is the same shift applied to b_vector[0] in jaxvacua.flux_utils.pfv_to_flux() for the coniLCS limit.

Parameters:

• XPer (Array) – Period vector \((X^0, X^1, \ldots, X^{h^{1,2}})\).

• conj (bool) – If True, computes the complex conjugate. Defaults to False.

Returns:

complex – Value of the bulk-approximated coniLCS prepotential.

Return type:

complex

See also: F_LCS_per(), F_coniLCS_series_per()