Pfaffian Interaction and $BCD$-quiver Matrix Models

Abstract

We study matrix models involving Pfaffian interactions as generalizations of the standard $\beta =1$ and $\beta =4$ matrix models. We present the Pfaffian formulas for the partition function and the characteristic polynomial averages. We also explore the matrix chain with the Pfaffian interaction, which realizes the BCD-type quiver matrix models.

24 pages