Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagonal multi-matrix correlators and BPS operators in N=4 SYM   We present a complete basis of multi-trace multi-matrix operators that has a
diagonal two point function for the free matrix field theory at finite N. This
generalises to multiple matrices the single matrix diagonalisation by Schur
polynomials. Crucially, it involves intertwining the gauge group U(N) and the
global symmetry group U(M) with Clebsch-Gordan coefficients of symmetric groups
S_n. When applied to N=4 super Yang-Mills we consider the U(3) subgroup of the
full symmetry group. The diagonalisation allows the description of a dual basis
to multi-traces, which permits the characterisation of the metric on operators
transforming in short representations at weak coupling. This gives a framework
for the comparison of quarter and eighth-BPS giant gravitons of AdS_5 x S^5
spacetime to gauge invariant operators of the dual N=4 SYM.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics