In this letter we describe an infinite family of new $\mathcal{N}=1$ ${\mathrm{AdS}}_5/{\mathrm{CFT}}_4$ 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 ${\mathrm{AdS}}_5\times M_6$ solutions of 11-dimensional supergravity which are dual to these conformal field theories (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 are further elaborated upon in a companion paper [I. Bah, C. Beem, N. Bobev, and B. Wecht, arXiv:1203.0303.].

• Received 6 March 2012

DOI:https://doi.org/10.1103/PhysRevD.85.121901