Holographic duals of five-dimensional SCFTs on a Riemann surface

DOI10.1007/JHEP01(2019)058zbMATH Open1409.81093arXiv1807.06031MaRDI QIDQ667112

Author name not available (Why is that?)

Publication date: 12 March 2019

Published in: (Search for Journal in Brave)

Abstract: We study the twisted compactifications of five-dimensional Seiberg SCFTs, with $S{U}_{m}athcalM(2)imes{E}_{N_f+1}$ flavor symmetry, on a generic Riemann surface that preserves four supercharges. The five-dimensional SCFTs are obtained from the decoupling limit of $N$ D4-branes probing a geometry of $N_f<8$ D8-branes and an O8-plane. In addition to the R-symmetry, we can also twist the flavor symmetry by turning on background flux on the Riemann surface. In particular, in the string theory construction of the five-dimensional SCFTs, the background flux for the $S{U}_{m}athcalM(2)$ has a geometric origin, similar to the topological twist of the R-symmetry. We argue that the resulting low-energy three-dimensional theories describe the dynamics on the world-volume of the $N$ D4-branes wrapped on the Riemann surface in the O8/D8 background. The Riemann surface can be described as a curve in a Calabi-Yau three-fold that is a sum of two line bundles over it. This allows for an explicit construction of $Ad{S}_4$ solutions in massive IIA supergravity dual to the world-volume theories, thereby providing strong evidence that the three-dimensional SCFTs exist in the low-energy limit of the compactification of the five-dimensional SCFTs. We compute observables such as the free energy and the scaling dimensions of operators dual to D2-brane probes; these have non-trivial dependence on the twist parameter for the $U(1)$ in $S{U}_{m}athcalM(2)$. The free energy exhibits the $N^{5/2}$ scaling that is emblematic of five-dimensional SCFTs.

Full work available at URL: https://arxiv.org/abs/1807.06031

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Holographic duals of five-dimensional SCFTs on a Riemann surface

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q667112)