Ground States of S-duality Twisted N=4 Super Yang-Mills Theory

Understand

We study the low-energy limit of a compactification of N=4 U(n) super Yang-Mills theory on $S^1$ with boundary conditions modified by an S-duality and R-symmetry twist.

• This theory has N=6 supersymmetry in 2+1D.
• We analyze the $T^2$ compactification of this 2+1D theory by identifying a dual weakly coupled type-IIA background.
• The Hilbert space of normalizable ground states is finite-dimensional and appears to exhibit a rich structure of sectors.