Abstract
We explore the properties of five-dimensional supersymmetric gauge theories living on $5$-brane webs in orientifold $5$-plane backgrounds. This allows constructing quiver gauge theories with alternating $USp(2N)$ and $SO(N)$ gauge groups with fundamental matter, and thus leads to the existence of new $5d$ fixed point theories. The web description can be further used to study non-perturbative phenomena such as enhancement of symmetry and duality. We further suggest that one can use these systems to engineer $5d$ $SO$ group with spinor matter. We present evidence for this claim.
Highlights
Every 5d gauge theory flows to a 5d SCFT, and the demand that such a SCFT exists is expected to constrain the matter content of the theory
We explore the properties of five-dimensional supersymmetric gauge theories living on 5-brane webs in orientifold 5-plane backgrounds
This is nicely realized in brane webs, where a SCFT can be deformed in different ways leading to different IR gauge theories [6]
Summary
The web can be generalized to an arbitrary number of such branes which leads to a long quiver with alternating SO and USp groups connected by half-hypers in the bifundamental representation Two examples of this are shown in figures 13 and 14. The intersecting branes can be continued past one another accompanied with a Hanany-Witten transition If this process terminates after a finite number of such transitions this 5d gauge theory go to a 5d fixed point described by the collapsed web (see figure 15 (c) for an example). Charge carrying external brane intersecting the nG other NS5-charge carrying branes This can be resolved by continuing them past one another, accompanied with a Hanany-Witten transition, leading to a configuration with no intersection (see figure 15 (c) for an example) so we conclude that this class of theories go to a 5d fixed point. We can consider generalizations of this duality, but in all we encounter the same problem, where we do not find a complete gauge theory description of the dual side
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