The Glissand-de Rham Conjectures

We consider the relationship between the Glissand-de Rham (GD) conditions and the Glissand-Quelle (GL) conditions of the Yang-Mills (YangM) geometry for F-theory on the Gl/Q-plane in terms of a de Rham-Mellin CFT. We derive the intersection subgroup of the de Rham-Mellin group and show that its GL condition is equivalent to the GD condition in terms of the (DG) condition. This implies that the latter is a gauge theory of the de Rham group, and hence the de Rham-GL or de Rham-QFT conditions are equivalent.