Abstract

We explore the properties of five-dimensional supersymmetric gauge theories living on 5-brane webs in orientifold 7-plane backgrounds. These include $USp(2N)$ and $SO(N)$ gauge theories with fundamental matter, as well as $SU(N)$ gauge theories with symmetric and antisymmetric matter. We find a number of new 5d fixed point theories that feature enhanced global symmetries. We also exhibit a number of new 5d dualities.

Highlights

  • A useful way to describe such theories is using 5-brane webs in Type IIB string theory [4, 5]

  • We explore the properties of five-dimensional supersymmetric gauge theories living on 5-brane webs in orientifold 7-plane backgrounds

  • Since in 5d masses are real, the IR theories obtained by positive and negative mass deformations may be different. In particular these may be different gauge theories related by a continuation of the Yang-Mills coupling past infinity. This can be seen in the 5-brane web construction by reversing the deformation leading to the original gauge theory, and using the SL(2, Z) symmetry of Type IIB string theory to transform the web into a configuration with D5-brane stacks

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Summary

Flavors

We can again add matter in the fundamental representation by attaching external D5-. branes. The two other interesting cases are NF + 2|k| = M + 3 and NF + 2|k| = M + 4, shown (again for M = 2N and k = 0) in figures 15a and 15b, respectively. In all three cases we exhibit some of the extraneous instanton-charged states that should be removed from the instanton partition function We expect these three theories to exhibit enhanced global symmetries in the UV, and in particular we expect the non-abelian flavor symmetry to be enhanced in the maximally flavored theory. These theories were recently studied in [31], using simplified instanton analysis, whose finding is consistent with the enhancement suggested by these webs

Duality
Example 1
Example 2
Example 3
Example 4
Conclusions
A Instanton partition functions and extraneous states
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