Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional lattice for four-dimensional N=4 supersymmetric
  Yang-Mills   We construct a lattice formulation of a mass-deformed two-dimensional N=(8,8)
super Yang-Mills theory with preserving two supercharges exactly. Gauge fields
are represented by compact unitary link variables, and the exact supercharges
on the lattice are nilpotent up to gauge transformations and SU(2)_R rotations.
Due to the mass deformation, the lattice model is free from the vacuum
degeneracy problem, which was encountered in earlier approaches, and flat
directions of scalar fields are stabilized giving discrete minima representing
fuzzy S^2. Around the trivial minimum, quantum continuum theory is obtained
with no tuning, which serves a nonperturbative construction of the IIA matrix
string theory. Moreover, around the minimum of k-coincident fuzzy spheres,
four-dimensional N=4 U(k) super Yang-Mills theory with two commutative and two
noncommutative directions emerges. In this theory, sixteen supersymmetries are
broken by the mass deformation to two. Assuming the breaking is soft, we give a
scenario leading to undeformed N=4 super Yang-Mills on R^4 without any fine
tuning. As an evidence for the validity of the assumption, some computation of
1-loop radiative corrections is presented.

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
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
19
The categories of this paper are: eess