Type IIB 7-branes in warped AdS6: partition functions, brane webs and probe limit

Abstract

We study Type IIB supergravity solutions with spacetime of the form AdS 6 ×S 2 warped over a Riemann surface Σ, where Σ includes punctures around which the supergravity fields have non-trivial SL(2, R) monodromy. Solutions without monodromy have a compelling interpretation as near-horizon limits of (p, q) 5-brane webs, and the punctures have been interpreted as additional 7-branes in the web. In this work we provide further support for this interpretation and clarify several aspects of the identification of the supergravity solutions with brane webs. To further support the identification of the punctures with 7-branes, we show that punctures with infinitesimal monodromy match a probe 7-brane analysis using κ-symmetry. We then construct families of solutions with fixed 5-brane charges and punctures with finite monodromy, corresponding to fully backreacted 7-branes. We compute the sphere partition functions of the dual 5d SCFTs and use the results to discuss concrete brane web interpretations of the supergravity solutions.

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].…”

Two dimensional $$ \mathcal{N} $$ = (0, 4) quivers dual to AdS3 solutions in massive IIA

“…(2. 16) In what follows, we choose units consistent with α = g s = 1. Also, we will use thatĥ 4 = Υh 4 , as seen in (2.7).…”

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].…”