Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interaction effects on 3D topological superconductors: surface
  topological order from vortex condensation, the 16 fold way and fermionic
  Kramers doublets   Three dimensional topological superconductors with time reversal symmetry
(class DIII) are indexed by an integer $\nu$, the number of surface Majorana
cones, according to the free fermion classification. The superfluid B phase of
He$^3$ realizes the $\nu=1$ phase. Recently, it has been argued that this
classification is reduced in the presence of interactions to Z$_{16}$. This was
argued from the symmetry respecting surface topological orders of these states,
which provide a non-perturbative definition of the bulk topological phase.
Here, we verify this conclusion by focusing on the even index case, $\nu=2m$,
where a vortex condensation approach can be used to explicitly derive the
surface topological orders. We show a direct relation to the well known result
on one dimensional topological superconductors (class BDI), where interactions
reduce the free fermion classification from Z down to Z$_8$. Finally, we
discuss in detail the fermionic analog of Kramers time reversal symmetry, which
allows semions of some surface topological orders to transform as $T^2=\pm i$.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics