Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modular symmetry and zeros in magnetic compactifications   We discuss the modular symmetry and zeros of zero-mode wave functions on
two-dimensional torus $T^2$ and toroidal orbifolds $T^2/\mathbb{Z}_N$
($N=2,3,4,6$) with a background homogeneous magnetic field. As is well-known,
magnetic flux contributes to the index in the Atiyah-Singer index theorem. The
zeros in magnetic compactifications therefore play an important role, as
investigated in a series of recent papers. Focusing on the zeros and their
positions, we study what type of boundary conditions must be satisfied by the
zero modes after the modular transformation. The consideration in this paper
justifies that the boundary conditions are common before and after the modular
transformation.

26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess