Abstract
We discuss certain structural analogies between supersymmetric quiver gauge theories and lattice models leading to fracton phases of matter. In particular, classes of quiver models can be viewed as lattice models having subsystem symmetries, dimensions of moduli spaces growing linearly with the size of the lattice, and having excitations with limited mobility (with "excitations" and "mobility" properly defined).
Highlights
We will comment on this branch soon but here as we want the baryons to be dynamical excitations we will consider branches on which these do not acquire vacuum expectation values (VEVs)
Summary and comments.—We have drawn a simple analogy between lattice systems leading to fractons and supersymmetric quiver theories
Operators defined locally on this lattice, such as the baryons, can be thought of as excitations charged under the subsystem symmetry
Summary
We discuss certain structural analogies between supersymmetric quiver gauge theories and lattice models leading to fracton phases of matter. These models have subsystem symmetries, excitations of restricted mobility, and manifolds of vacua (dimension of which scales linearly with the size of the lattice). We will comment on this branch soon but here as we want the baryons to be dynamical excitations we will consider branches on which these do not acquire VEVs. We can define three additional natural branches which are parametrized by VEVs of operators winding the quiver, see Fig. 4.
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