Charges and holography in 6d (1,0) theories

TL;DR

The paper tests the AdS$_7$/CFT$_6$ duality for a class of 6d ${ m N}=(1,0)$ SCFTs that flow to long linear quivers by matching the 6d global and U(1) symmetries and the spectrum of charged operators to their AdS$_7$ Type IIA duals. It identifies the dual bulk states corresponding to string-mesons and baryons as F1-strings and D0-branes, computes their masses and charges, and demonstrates a precise agreement with field-theory operators, including a holographic realization of the chiral-ring relation via Euclidean D2-branes. A key result is the holographic confirmation that the discrete $S_N$ permutation symmetry of the $N$ baryons is gauged, consistent with both magnetic-quiver arguments and reduced M-theory pictures. The work also analyzes plateau and plateau-less quivers, providing explicit examples (uniform, rising, and symmetric quivers) that illustrate how the bulk fluxes, masses, and charges encode the field-theoretic data, strengthening the non-perturbative understanding of 6d SCFTs and their holographic descriptions.

Abstract

We study the recently proposed AdS$_7$/CFT$_6$ 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 AdS$_7$ duals. We also confirm a recent conjecture that a discrete $S_N$ symmetry relating the baryons in the quiver theories is in fact gauged.

Figures (12)

• Figure 1: The general 6d linear quiver theory.
• Figure 2: Brane configurations for linear quivers. In (b) the first and last stacks of flavor D8-branes of (a) are replaced by semi-infinite D6-branes.
• Figure 3: The general 6d linear quiver theory with $s$ sets of flavors. We denote by $x_i,\tilde{x}_i$ the two complex scalar components of the bi-fundamental hypermultiplets, and by $y_a,\tilde{y}_a$ the two complex scalar components of the fundamental hypermultiplets.
• Figure 4: An $SU(2)$ piece of the quiver.
• Figure 5: Brane configurations for the quiver tails in Fig. \ref{['QuiverSU(2)']}.