A quadrilateral in the Asaeda–Haagerup category

  • Marta Asaeda

    University of California, Riverside, USA
  • Cardiff University, Wales, UK


We construct a noncommuting quadrilateral of factors whose upper sides are each the Asaeda–Haagerup subfactor with index 5+172\frac{5+\sqrt{17}}{2} by showing the existence of a QQ-system in the Asaeda–Haagerup category with index 7+172\frac{7+\sqrt{17}}{2} . We also conjecture the existence of a Q-system in the same category with index 9+172\frac{9+ \sqrt{17}}{2} and an associated quadrilateral whose upper sides have index 7+172\frac{7+\sqrt{17}}{2} .

Cite this article

Marta Asaeda, , A quadrilateral in the Asaeda–Haagerup category. Quantum Topol. 2 (2011), no. 3, pp. 269–300

DOI 10.4171/QT/22