M5-branes probing flux backgrounds

• DOI: 10.1007/jhep10(2022)122
• Publication Date: 2022-10-20T04:02:49Z
• Authors: Ibrahima Bah; Federico Bonetti; Enoch Leung; Peter Weck
• Keywords: Anomaly (physics)

We analyze the global symmetries and anomalies of 4d $\mathcal{N} = 1$ field theories that arise from a stack $N$ M5-branes probing class flux backgrounds. These backgrounds consist resolved $\mathbb{C}^2 / \mathbb{Z}_k$ singularity fibered over smooth Riemann surface genus $g \geq 2$, supported by non-trivial $G_4$-flux configuration labeled collection $2(k-1)$ quanta, $\{N_i\}$. For $k=2$, this setup defines superconformal theory (SCFT) in IR, which is holographically dual to an explicit $AdS_5$ solution first described Gauntlett, Martelli, Sparks, Waldram. The generalization $k 3$ hard tackle directly within holography. Instead, paper we lay groundwork for systematic analysis such adopting anomaly inflow methods identify continuous discrete theories. also compute 't Hooft at leading order limit large $N$, $N_i$.