Warped AdS near-horizon geometry of completely localized intersections of M5-branes

TL;DR

This work constructs an exact 11-dimensional supergravity solution for completely localized intersecting M5-branes, identifying a holographic dual to a four-dimensional ${\\cal N}=2$ SCFT with gauge group ${\\rm SU}(N)$ and $N_f=2N$ flavors. The authors implement a near-horizon (Maldacena) scaling that isolates the world-volume theory and yield a warped ${\\rm AdS}_5$ spacetime with an ${\\rm SU}(2)\\times{\\rm U}(1)$ isometry, determined by a Kähler metric solving nonlinear PDEs with localized sources. They derive explicit warp-factor relations and show how the solution simplifies in the large-$R$ and arbitrary-$R$ limits, providing closed forms for the holomorphic data $F(y)$ that encode the positions of the localized M5(2) branes and the corresponding gauge couplings. The results demonstrate that a conformal dual with a warped AdS structure can arise without a fixed 't Hooft coupling, broadening the landscape of AdS/CFT duals and suggesting avenues to study non-conformal deformations and wrapped M5-brane constructions. Overall, the paper delivers an exact gravitational description of completely localized brane intersections and reveals rich geometric and holographic structure in the near-horizon regime.

Abstract

We study a Hanany-Witten set-up relevant to N = 2 superconformal field theories. We find the exact near-horizon solution for this 11-dimensional system which involves intersecting M5-branes. The metric describes a warped product of AdS_5 with a manifold with SU(2) x U(1) isometry.