On minimal Type IIB AdS6 solutions with commuting 7-branes

Abstract

We construct Type IIB supergravity solutions with geometry AdS 6 × S 2 warped over a disc with two boundary points where 5-branes emerge and punctures with 7-brane monodromy. They describe (p, q) 5-brane junctions with two groups of like-charged external 5-branes that are unconstrained by the s-rule and an additional group of constrained 5-branes. The dual 5d SCFTs include various theories discussed previously in the literature. We match SCFT operators with scaling dimension of O(N ) with their representation in supergravity to support the proposed dualities.

Exact results for 5d SCFTs of long quiver type

“…Finally, for the + N,M,k theories a supergravity computation for a sample of parameter choices matches the analytic result in (5.2). The results presented here therefore support the AdS 6 /CFT 5 dualities proposed in [35,36] for 5d SCFTs engineered by 5-brane junctions, and the dualities proposed in [45,47,53] for AdS 6 solutions with 7-branes [37]. The Type IIB supergravity description for the 5d SCFTs considered here on a family of squashed spheres with −φ 1 = φ 2 = φ 3 = i √ 1 − s 2 can be obtained with the consistent truncations from the Type IIB solutions of [35][36][37] to 6d gauged supergravity worked out in [50,51,54].…”

“…Type IIB supergravity solutions describing the near-horizon limits of 5-brane webs and 5-brane webs with 7-branes have been constructed in [34][35][36] and [37], 1 and result in large classes of explicit holographic dualities for the corresponding 5d SCFTs. Various aspects of the dualities have been studied in [43][44][45][46][47][48][49][50][51][52][53][54][55][56]. In particular, the free energy was found to scale quartically with the parameter controlling the large-N limit in supergravity [43], and this scaling was confirmed numerically using field theory methods [48,56].…”

“…These theories are obtained from the T N theories with N = 2K by renormalization group flows. The supergravity duals and aspects of the field theories were discussed in [53]. They may also be defined as UV fixed points of the linear quiver gauge theories…”

Black hole microstate counting in Type IIB from 5d SCFTs

“…That the S 5 partition functions of these theories match the prediction of the putative holographic duals was shown in [64], and here we explicitly confirm that the topologically twisted index matches as well. Furthermore, we include a class of constrained T N theories, that we refer to as T N,K,j , which are engineered using 5-branes and 7-branes in Type IIB and whose holographic duals are solutions with monodromy [69]. For these theories we compute the S 5 partition functions, the topologically twisted indices and the corresponding quantities in supergravity, and show that they match.…”

Supersymmetric probes in warped AdS6

“…Using these backgrounds it had been possible to perform very detailed analysis of the dual 5d theories e.g. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”