Abstract
We discuss the possible extensions of Bethe/gauge correspondence to quantum integrable systems based on the super-Lie algebras of A type. Along the way we propose the analogues of Nakajima quiver varieties whose cohomology and K-theory should carry the representations of the corresponding Yangian and the quantum affine algebras, respectively. We end up with comments on the mathcal{N} = 4 planar super-Yang-Mills theory in four dimensions.
Highlights
We discuss the possible extensions of Bethe/gauge correspondence to quantum integrable systems based on the super-Lie algebras of A type
Along the way we propose the analogues of Nakajima quiver varieties whose cohomology and K-theory should carry the representations of the corresponding Yangian and the quantum affine algebras, respectively
Poincare supersymmetry are the stationary states of some quantum integrable system, i.e. they are the joint eigenvectors of quantum integrals of motion
Summary
The content of this equation being the absence of the poles of the left hand side in x, other zeroes of P (x − u). All this generalizes in a relatively straightforward way, both in terms of the spin group symmetry, and the possibilities of the choice of the Hamiltonian. The inhomogeneity deforms the Hamiltonian (2.1) in certain fashion, making the spin interactions, in general, a-dependent, and less local, while twisting deforms the boundary conditions (2.2) to σa+L q−.
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