Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathbb{Z}_k^{(r)}$-Algebras, FQH Ground States, and Invariants of
  Binary Forms   A prominent class of model FQH ground states is those realized as correlation
function of $\mathbb{Z}_k^{(r)}$-algebras. In this paper, we study the
interplay between these algebras and their corresponding wavefunctions. In the
hopes of realizing these wavefunctions as a unique densest zero energy state,
we propose a generalization for the projection Hamiltonians
$\mathscr{H}_{k+1}^{2r-1}$. Finally, using techniques from invariants of binary
forms, an ansatz for computation of correlations $\langle
\psi(z_1)\cdots\psi(z_{2k})\rangle \prod_{i<j}(z_i-z_j)^{2r/k}$ is devised. We
provide some evidence that, at least when $r=2$, our proposed Hamiltonian
realizes $\mathbb{Z}_k^{(2)}$-wavefunctions as a \emph{unique} ground state.

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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph