Diagonal multi-matrix correlators and BPS operators in N=4 SYM
By T. Brown, Sanjaye Ramgoolam, P. Heslop. 2007
183 citations recorded by the source corpus.
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 Sn. When applied to = 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 AdS5 × S5 spacetime to gauge invariant operators of the dual = 4 SYM.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/03396cf35eb2492f8c984dcd5cd0031c975b6338
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- A. Hanany
- Yang-Hui He
- Sanjaye Ramgoolam
- T. Brown
- P. Heslop
- Noppadol Mekareeya
- James Richard Andrew Gray
- Robert De Mello Koch
In Nuclear and High Energy Physics
- A. Hanany
- Yang-Hui He
- T. Brown
- P. Heslop
- James Richard Andrew Gray
- Sanjaye Ramgoolam
- Noppadol Mekareeya
- Vishnu Jejjala
Citations in the corpus
- SQCD: A Geometric Apercu (2008, background): “, [24, 25, 34, 22, 16, 37, 38, 18, 21, 35, 36, 39]) that count the number of BPS GIOs in various gauge theories.”
- Exact multi-matrix correlators (2008, background): “By exploiting supergroups [10] have also explained how to include fermions in addition to the Higgs fields.”
- Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, methodology): “Furthermore, following the methods of [15], it is fully diagonal in all its labels.”