Moduli Stabilisation and the Holographic Swampland

Understand

We investigate whether Swampland constraints on the low-energy dynamics of weakly coupled, moduli-stabilised string vacua in AdS can be related to inconsistencies of their putative holographic duals or, more generally, recast in terms of CFT data.

• We find that various swampland consistency constraints are equivalent to a negativity condition on the sign of certain mixed anomalous dimensions.
• This condition is similar to well-established CFT positivity bounds arising from causality and unitarity, but not known to hold in general.
• The studied scenarios include LVS, KKLT, and both perturbative and racetrack stabilisation.