Deconstruction of higher-dimensional theories by long circular quivers

Establish whether long circular quivers deconstruct higher-dimensional theories, particularly the six-dimensional (2,0) theory, beyond the consistency evidence provided by their index computations.

Background

The paper discusses long circular quivers as a class of quiver gauge theories whose number of gauge nodes becomes large. Such quivers have been proposed to reproduce, or deconstruct, higher-dimensional physics through an emergent extra dimension.

The authors identify the six-dimensional (2,0) theory as a notable example and cite previous work in which the Hall–Littlewood limit of the long-circular-quiver index was argued to agree with expectations from the (2,0) theory. The refined superconformal-index formula derived in the paper provides additional data relevant to testing this conjectural relationship, but does not establish the deconstruction itself.

References

The existence of the 6d $(2,0)$ theory was originally suggested by string theory; however, no direct proof of its existence from field theory has been given, and at least a Lagrangian in the usual sense (one which manifestly preserves both Lorentz symmetry and non-Abelian gauge invariance) is not known at the time of writing of this book, nor is there any guarantee that it exists.

— Geometries of Quantum Field Theories  (2609.28210 - Yamazaki, 23 Sep 2026) in Chapter 6, Section “Compactification and Topological Twist,” subsection “6d $(2,0)$ Theory”

Additionally, long circular quivers are conjectured to deconstruct higher dimensional theories, notably the (2,0) theory .

— Superconformal index of large N and long quivers  (2608.27933 - Akhond et al., 28 Aug 2026) in Section 1, Introduction and summary