Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized multifractality at the spin quantum Hall transition:
  Percolation mapping and pure-scaling observables   This work extends the analysis of the generalized multifractality of critical
eigenstates at the spin quantum Hall transition in two-dimensional disordered
superconductors [J. F. Karcher et al, Annals of Physics, 435, 168584 (2021)]. A
mapping to classical percolation is developed for a certain set of
generalized-multifractality observables. In this way, exact analytical results
for the corresponding exponents are obtained. Furthermore, a general
construction of positive pure-scaling eigenfunction observables is presented,
which permits a very efficient numerical determination of scaling exponents. In
particular, all exponents corresponding to polynomial pure-scaling observables
up to the order $q=5$ are found numerically. For the observables for which the
percolation mapping is derived, analytical and numerical results are in perfect
agreement with each other. The analytical and numerical results unambiguously
demonstrate that the generalized parabolicity (i.e., proportionality to
eigenvalues of the quadratic Casimir operator) does not hold for the spectrum
of generalized-multifractality exponents. This excludes
Wess-Zumino-Novikov-Witten models, and, more generally, any theories with local
conformal invariance, as candidates for the fixed-point theory of the spin
quantum Hall transition. The observable construction developed in this work
paves a way to investigation of generalized multifractality at
Anderson-localization critical points of various symmetry classes.

7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph