Testing $AdS_6/CFT_5$ in Type IIB with stringy operators

Abstract

We provide further evidence that the recently constructed warped $AdS_6$ 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 $T_N$ theory, and identify the bulk states dual to a class of operators with ${\cal O}(N)$ scaling dimensions in terms of strings and string-webs embedded in the solutions.

Figures (13)

• Figure 1: Brane webs for the 5d $T_N$ theory, with the string junction/open strings representing the long operators. The non-flavor D7-branes are denoted by an "x" rather than by a dot.
• Figure 2: Brane webs for the $Y_N$ theory with $N=3$, with the string junction/open strings representing the long operators.
• Figure 3: The S-dual of the $Y_N$ web shown in fig. \ref{['YNjunction']}, with a deformation to a quiver gauge theory.
• Figure 4: The 5-brane web of the $+_{N,M}$ theory: (a) The theory at the fixed point, with the string and D1-brane representing the bi-fundamental operators. (b) The deformation leading to the $SU(N)$ quiver. (c) The deformation leading to the $SU(M)$ quiver.
• Figure 5: The $+_{N,M,k}$ theory: (a) The $N$ D5-branes on the RHS end on $k$ D7-branes in groups of $N/k$. (b) An equivalent description with the $k$ D7-branes in the interior. (c) Deformation to an IR quiver gauge theory for $k=N/2$.