Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-associative slave-boson decomposition   The operator constraint $f_{i\uparrow}^\dagger f_{i\uparrow} +
f_{i\downarrow}^\dagger f_{i\downarrow} + b^\dagger_{i} b_{i}= 1$ in t-J model
of High-T$_c$ superconductivity is considered. It is shown that the constraint
can be resolved by introdusing a non-associative operator. In this case the
constraint is an antiassociative generating relation of a new algebra. Similar
constraint is offered for splitting the gluon.

20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn