Notebook Glossary

This glossary collects the short conventions used across the tutorial notebooks. It is a reminder page, not a replacement for the derivations in the physics introduction or the worked notebooks.

\(W_0\)

The value of the GVW superpotential after the complex-structure moduli and the axio-dilaton have been fixed. In the notebooks this usually means \(W_0 = W(z_\star, \tau_\star; F_3, H_3)\) at a converged flux vacuum.

\(z_{\rm cf}\)

The local conifold modulus. The conifold locus sits at \(z_{\rm cf}=0\); in coniLCS workflows this field is often parametrically heavy and can be solved for analytically before working with the remaining bulk moduli.

\(g_s\)

The string coupling, related to the axio-dilaton by \(\tau = C_0 + i/g_s\). The weak-coupling regime is therefore \(g_s = 1 / {\rm Im}(\tau) \ll 1\).

\(N_{\rm flux}\)

The D3-brane charge induced by the three-form fluxes. It is compared against the tadpole budget, usually written \(Q_{\rm O3}\) or \(L_{\max}\) depending on the notebook.

ISD

Imaginary self-dual. In the Type IIB flux sector this denotes the flux condition \(*_6 G_3 = i G_3\), and in these tutorials it is the geometric condition behind the SUSY flux-vacuum equations for the complex-structure moduli and axio-dilaton.

AISD

Anti-imaginary self-dual. This is the complementary flux component satisfying \(*_6 G_3 = -i G_3\). AISD components are useful diagnostics for departures from the ISD locus and for non-SUSY deformations.

PFV

Perturbatively flat vacuum. PFV workflows use special flux data for which the perturbative part of the flux superpotential has a flat direction; instanton, conifold, or racetrack effects then lift that direction.

AFV

A development shorthand for a general flux-vacuum candidate outside the strict PFV ansatz. It is not a stable public API term; public notebooks should define the local meaning explicitly whenever they use it.