Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Odd coset quantum mechanics   The standard quantum states of $n$ complex Grassmann variables with a
free-particle Lagrangian transform as a spinor of SO(2n). However, the same
`free-fermion' model has a non-linearly realized $SU(n|1)$ symmetry; it can be
viewed as the mechanics of a `particle' on the Grassmann-odd coset space
$SU(n|1)/U(n)$. We implement a quantization of this model for which the states
with non-zero norm transform as a representation of $SU(n|1)$, the
representation depending on the U(1) charge of the wave-function. For $n=2$ the
wave-function can be interpreted as a BRST superfield.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs