Abstract
We generalize the swampland criterion forbidding stable non-supersymmetric AdS vacua and propose a new swampland conjecture forbidding stable non-supersymmetric “locally AdS” warped throats. The conjecture is motivated by the properties of systems of fractional D3-branes at singularities, and can be used to rule out large classes of warped throats with supersymmetry breaking ingredients, and their possible application to de Sitter uplift. In particular, this allows to reinterpret the runaway instabilities of the gravity dual of fractional branes in the dP1 theory, and to rule out warped throats with Dynamical Supersymmetry Breaking D-brane sectors at their bottom. We also discuss the instabilities of warped throats with supersymmetry broken by the introduction of anti-orientifold planes. These examples lead to novel decay mechanisms in explicit non-supersymmetric examples of locally AdS warped throats, and also of pure AdS backgrounds.
Highlights
Scenarios is the presence of warped throats [34, 35] at whose bottom the supersymmetry breaking sectors are localized, so that they undergo a redshift crucial for the tunability of the 4d vacuum energy
The D-brane gauge theory is discussed in section 4.1, and in section 4.2 we describe the instabilities that arise when embedded into AdS or locally AdS warped throats, in agreement with the AdS-WGC implications for non-supersymmetric throats; in section 4.3 we describe the local AdS-WGC statement in an explicit example illustrating how it applies to non-supersymmetric throats from N = 2 fractional branes
We have focused on warped throats whose underlying D-brane configuration is supersymmetric in perturbation theory, with supersymmetry breaking arising from non-perturbative strong dynamics effects
Summary
We briefly review some ingredients of the dimer diagram description of D3-branes at singularities. The gauge theories on D3-branes at toric CY threefold singularities are nicely encoded in a combinatorial graph known as dimer diagram [39, 40] (see [41, 42] and references therein) They are (bipartite) graph tilings of T2, or equivalently infinite periodic graphs in R2. The so-called N = 2 fractional branes correspond to an overall increase of ranks in a subset of faces bounded by zig-zag paths associated to the same (p, q) 1-cycle in the dimer T2. They are associated to parallel external legs in the web diagram, or equivalently to curves of C2/Zk singularities sticking out of the singularity at the origin. Faces and edges not mapped to themselves by the orientifold, combine with their images and descend to U(na) gauge factors and bi-fundamental matter multiplets in the orientifold theory
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