Moduli Stabilisation and the Holographic Swampland

Abstract

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. Interestingly, the LVS vacuum (with ${\Delta }_{\phi }=8.038$) also appears to live very close to a critical value (${\Delta }_{\phi }=8$) where the anomalous dimensions change sign. We finally point out an intriguing connection to the Swampland Distance Conjecture, both in its original and refined versions.

37 pages + references, 4 figures; v2 added references and corrected typos

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Cited by in corpus (16)

• Tackling the SDC in AdS with CFTs
• Exploring The Holographic Swampland
• Comments on classical AdS flux vacua with scale separation
• Integer Conformal Dimensions for Type IIA Flux Vacua
• On Higher-Spin Points and Infinite Distances in Conformal Manifolds
• Bulk Reconstruction in Moduli Space Holography
• Scale-separated AdS${}_3$ vacua from $G_2$-orientifolds using bispinors
• Aspects of AdS flux vacua with integer conformal dimensions
• Swampland Conditions for Higher Derivative Couplings from CFT
• AdS scale separation and the distance conjecture
• Negative scalar potentials and the swampland: an Anti-Trans-Planckian Censorship Conjecture
• Holographic Perspectives On Models Of Moduli Stabilization In M-Theory
• Weak $G_2$-manifolds and scale separation in M-theory from type IIA backgrounds
• A CFT Distance Conjecture
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Emergent Supersymmetry at Large $N$