Abstract
We discuss infinite families of non-supersymmetric AdS6 solutions in Type IIB string theory. They are siblings of supersymmetric solutions which are associated with (p, q) 5-brane webs and holographically dual to 5d SCFTs engineered by those brane webs. The non-supersymmetric backgrounds carry identical 5-brane charges and are connected to the supersymmetric ones by RG flows. We study the stability of the non-supersymmetric solutions, identifying perturbative and non-perturbative decay channels for all the backgrounds explicitly available. We also identify likely decay mechanisms for solutions that have not been constructed explicitly but may be expected to exist based on brane web considerations. Finally, we exclude scale separation by constructing universal spin 2 modes with masses comparable to the mass-scale of the cosmological constant.
Highlights
To be unstable in [2]
We will show that the non-supersymmetric counterparts of all explicitly constructed supersymmetric solutions available so far are part of the swampland [40]: they may or may not be stable within Type IIB supergravity, but they are certainly unstable with respect to brane creation and polarization processes in string theory
We study the non-Abelian action for multiple D5-branes as well, to investigate configurations where the 5-branes are polarized into 7-branes, and derive the fluctuation spectrum in the supersymmetric and non-supersymmetric solutions
Summary
The non-supersymmetric solutions we consider owe their existence to infinite families of supersymmetric Type IIB AdS6 solutions, constructed in [29,30,31,32]. Generalizations incorporating [p,q] 7-branes can be found in [32] and O7-planes in [42] We will discuss those cases but will not need explicit expressions for A±. The 5-brane charges at the pole are given by the integral of the complex 3-form along this cycle, which reduces to the discontinuity of C in (2.6) at the pole. This discontinuity is independent of the first term in the expression for C in (2.6), and independent of X. The 5-brane charges are identical for the supersymmetric and non-supersymmetric solutions. This suggests that, similar to the supersymmetric setups, the non-supersymmetric solutions describe planar 5-brane configurations with an SU(2) symmetry corresponding to rotations in the directions transverse to the plane
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