Abstract

Type IIB AdS6 solutions with orientifold 7-planes are constructed. The geometry is a warped product of AdS6 and S2 over a Riemann surface Σ and the O7-planes correspond to a particular type of puncture on Σ. The solutions are identified as near- horizon limits of (p, q) 5-brane webs with O7-planes. The dual 5d SCFTs have relevant deformations to linear quiver gauge theories which have SO(·) or USp(·) nodes or SU(·) nodes with hypermultiplets in symmetric or antisymmetric representations, in addition to SU(·) nodes with fundamental hypermultiplets. The S5 free energies are obtained holographically and matched to field theory computations using supersymmetric localization to support the proposed dualities.

Highlights

  • Large classes of 5d SCFTs and their relevant deformations can be engineered by (p, q) 5-brane webs in Type IIB string theory [23–25], and by 5-brane webs with [p, q] 7-branes and further extensions [26–31]

  • Type IIB Supergravity solutions describing the near-horizon limit of 5-brane webs were constructed in [32–34], and solutions describing 5-brane webs with mutually local [p, q] 7-branes inside the web were constructed in [35]

  • The resulting solutions with O7-planes will be identified as near-horizon limits of 5-brane webs that involve O7-planes localized inside the web, and as holographic duals for the 5d SCFTs engineered by such 5-brane webs

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Summary

AdS6 solutions with O7 planes

AdS6 solutions with O7 planes are constructed. The construction is based on the general local form of supersymmetric AdS6 solutions in Type IIB supergravity derived in [32]. The general form of A± for physically regular solutions that involve (p, q) 5-branes and mutually local 7-branes was constructed in [33–35], and the residual regularity conditions were derived. Localized O7-planes correspond to a particular type of puncture on the Riemann surface.

Strategy
Solutions with D7-branes
Solutions with Z2 symmetry
Solutions with O7 plane
Behavior at puncture
Free energies in field theory
Long quivers
Quivers with (anti)symmetric matter
Quivers with USp(·) and SO(·) nodes
Discussion
Regularity conditions
Expressions with Z2 symmetry
Full Text
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