AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces

Abstract

In this letter we describe an infinite family of new N=1 AdS_5/CFT_4 dual pairs which arise from M5-branes wrapping Riemann surfaces in Calabi-Yau threefolds. We use the relevant brane constructions to compute the central charges of the infrared fixed points from the M5-brane anomaly polynomial. We then present AdS_5 x M_6 solutions of eleven-dimensional supergravity which are dual to these CFTs at large N. Finally, we provide a purely four-dimensional field theory construction which flows to a special class of these fixed points. These theories will be further elaborated upon in a companion paper.

Figures (2)

• Figure 1: The central charge $a$ as a function of the twist parameter $z$ for genus $g=7$ and $N=4,5,6$ (bottom to top). The MN theories are marked with large points at $z=0$ and $|z|=1$.
• Figure 2: An example of an ${\cal N}=1$ quiver construction at genus $g=3$ with $(p,q)=(1,3)$. Shaded trinions have $\sigma=+1$ while unshaded have $\sigma=-1$. Shaded versus unshaded nodes represent ${\cal N}=1$ and ${\cal N}=2$ gluings, respectively.