Edge excitations of the Chern Simons matrix theory for the FQHE

We study the edge excitations of the Chern Simons matrix theory, describing the Laughlin fluids for filling fraction $\nu=\frac{1}{k}$, with $k$ an integer. Based on the semiclassical solutions of the theory, we are able to identify the bulk and edge degrees of freedom. In this way we can freeze the bulk of the theory, to the semiclassical values, obtaining an effective theory governing the boundary excitations of the Chern Simons matrix theory. Finally, we show that this effective theory is equal to the chiral boson theory on the circle.Comment: 22 pages. Section 3.2. improved. 2 Appendices added. Accepted for publication in JHE

λ\lambda-symmetries for discrete equations

Following the usual definition of $\lambda$-symmetries of differential equations, we introduce the analogous concept for difference equations and apply it to some examples.Comment: 10 page

Entanglement entropy of integer Quantum Hall states

We compute the entanglement entropy, in real space, of the ground state of the integer Quantum Hall states for three different domains embedded in the torus, the disk and the sphere. We establish the validity of the area law with a vanishing value of the topological entanglement entropy. The entropy per unit length of the perimeter depends on the filling fraction, but it is independent of the geometry.Comment: 5 pages, 2 figures, minor changes, one reference adde

Canonical Construction and Statutory Revisionism: The Strange Case of the Appropriations Canon

In this article, we consider the impact of positive political theory on legislative interpretation and, in particular, the debate over interpretive canons. Our vehicle for this consideration is the appropriations canon. By virtue of this canon, courts construe narrowly legislative changes to statutes made through the appropriations process. We consider the underlying logic and rationale of this canon -- essentially, that the appropriations process is unrepresentative and insufficiently deliberative -- and use this analysis to investigate, more broadly, the processes of canonical construction in the modern statutory interpretation jurisprudence. Canonical construction, we argue, must be attentive to the equilibrium effects of judicial approaches and, moreover, it must be based upon a normatively compelling theory of lawmaking and the legislative process. The appropriations canon fails both of these tests; and, in its structure, it reveals some of the weaknesses of the contemporary reliance on canons to illuminate statutory meaning