We use 5-brane webs to study the two-dimensional space of supersymmetric mass deformations of higher rank generalizations of the 5d E1 and $$ {\tilde{E}}_1 $$ theories. Some of the resulting IR phases are described by IR free supersymmetric gauge theories, while others correspond to interacting fixed points. The number of different phases appears to grow with the rank. The space...
We revisit the $$ \mathcal{N} $$ = 6 superconformal Chern-Simons-matter theories and their supergravity duals in the context of generalized symmetries. This allows us to finally clarify how the SU(N ) × SU(N ) and (SU(N ) × SU(N ))/ℤN theories, as well as other quotient theories that have recently been discussed, fit into the holographic framework. It also resolves a long...
Abstract We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with \( \mathcal{N} \) = (4, 4) supersymmetry, analogous to Hori’s dualities with \( \mathcal{N} \) = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus...
We study the recently proposed AdS7/CFT6 dualities for a class of 6d $$ \mathcal{N} $$ = (1, 0) theories that flow on the tensor branch to long linear quiver gauge theories. We find a precise agreement in the symmetries and in the spectrum of charged states between the 6d SCFTs and their conjectured AdS7 duals. We also confirm a recent conjecture that a discrete SN symmetry...
Abstract We provide further evidence that the recently constructed warped AdS6 solutions in Type IIB supergravity are dual to 5d SCFTs that correspond to (p, q) 5-brane webs with large numbers of like-charged external 5-branes. We study a number of specific examples, including the TN theory, and identify the bulk states dual to a class of operators with \( \mathcal{O} \)(N...
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...
Abstract We clarify certain aspects of instanton operators in five-dimensional super-symmetric gauge theories. In particular, we show how, in the pointlike limit, they become supersymmetric and provide the natural bridge with the instantonic states contributing to the index as well as with the zero mode counting leading to broken current multiplets.
In this paper we set out to further explore the connection between isolated \( \mathcal{N}=2 \) SCFT’s in four dimensions and \( \mathcal{N}=1 \) SCFT’s in five dimensions. Using 5-brane webs we are able to provide IR Lagrangian descriptions in terms of 5d gauge theories for several classes of theories including the so-called T N theories. In many of these we find multiple dual...
We present a number of investigations of 5d \( \mathcal{N} \) = 1 supersymmetric gauge theories that make use of 5-brane web constructions and the 5d superconformal index. These include an observation of enhanced global symmetry in the 5d fixed point theory corresponding to SU(N) gauge theory with Chern-Simons level ±N , enhanced global symmetries in quiver theories, and...
5d Yang-Mills theory with an Sp(N) gauge group admits a discrete analog of the θ parameter. We describe the origin of this parameter in \( \mathcal{N} \) = 1 theories from Type I’ string theory, and study its effect on the 5d superconformal fixed point theories with an Sp(1) = SU(2) gauge group by computing the superconformal index. Our result confirms the lack of global symmetry...