Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory

Understand

We revisit unitary representation of centrally extended (2 | 2) excitation superalgebra.

• We find most generally that `pseudo-momentum', not lattice momentum, diagonalizes spin chain Hamiltonian and leads to generalized dynamic spin chain.
• All known results point to lattice momentum diagonalization for N=4 super Yang-Mills theory.
• Having different interacting structure, we ask if N=6 superconformal Chern-Simons theory provides an example of pseudo-momentum diagonalization.