Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A general procedure to find ground state solutions for finite $N$
  M(atrix) theory. Reduced models and SUSY quantum cosmology   We propose a general method to find exact ground state solutions to the
SU($N$) invariant matrix model arising from the quantization of the
11-dimensional supermembrane action in the light-cone gauge. We illustrate the
method by applying it to lower dimensional models and for the SU(2) group. This
approach can be used to find ground state solutions to the complete
9-dimensional model and for any SU($N$) group. The supercharges and the
constraints related to the SU(2) symmetry are the relevant operators and they
generate a multicomponent wave function. In the procedure, the fermionic
degrees of freedom are represented by means of Dirac-like gamma matrices. We
exhibit a relation between these finite $N$ matrix theory ground state
solutions and SUSY quantum cosmology wave functions giving a possible physical
significance to the theory even for finite $N$

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
19
The categories of this paper are: eess
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph