Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Admissibility Condition and Nontrivial Indices on a Noncommutative Torus   We study the index of the Ginsparg-Wilson Dirac operator on a noncommutative
torus numerically. To do this, we first formulate an admissibility condition
which suppresses the fluctuation of gauge fields sufficiently small. Assuming
this condition, we generate gauge configurations randomly, and find various
configurations with nontrivial indices. We show one example of configurations
with index 1 explicitly. This result provides the first evidence that
nontrivial indices can be naturally defined on the noncommutative torus by
utilizing the Ginsparg-Wilson relation and the admissibility condition.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga