Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomaly constraint on chiral central charge of (2+1)d topological order   In this short paper, we argue that the chiral central charge $c_-$ of a
(2+1)d topological ordered state is sometimes strongly constrained by 't Hooft
anomaly of anti-unitary global symmetry. For example, if a (2+1)d fermionic
TQFT has a time reversal anomaly with $T^2=(-1)^F$ labeled as
$\nu\in\mathbb{Z}_{16}$, the TQFT must have $c_-=1/4$ mod $1/2$ for odd $\nu$,
while $c_-=0$ mod $1/2$ for even $\nu$. This generalizes the fact that the
bosonic TQFT with $T$ anomaly in a particular class must carry $c_-=4$ mod $8$
to fermionic cases. We also study such a constraint for fermionic TQFT with
$U(1)\times CT$ symmetry, which is regarded as a gapped surface of the
topological superconductor in class AIII.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph