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arxiv: 0910.2170 · v2 · submitted 2009-10-12 · ✦ hep-th

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

Yusuke Kimura
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classification ✦ hep-th
keywords operatorsmatrixalgebrabasisbrauercomplexgaugeinvariant
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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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  1. Oscillators from non-semisimple walled Brauer algebras

    hep-th 2026-04 unverdicted novelty 7.0

    Dimension corrections in non-semisimple walled Brauer algebras are counted via restricted Bratteli diagrams whose generating functions match the partition function of an infinite tower of simple harmonic oscillators.