Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra

Details Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra

2009-10-12

arxiv.org/abs/0910.2170v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, typos corrected, references added

Scientific paper

We present an orthogonal basis of gauge invariant operators constructed from some complex matrices for the free matrix field, where operators are expressed with the help of Brauer algebra. This is a generalisation of our previous work for a signle complex matrix. We also discuss the matrix quantum mechanics relevant to N=4 SYM on S^{3} times R. A commuting set of conserved operators whose eigenstates are given by the orthogonal basis is shown by using enhanced symmetries at zero coupling.

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