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

Yusuke Kimura

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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 Script N = 4 SYM on S3 × R. A commuting set of conserved operators whose eigenstates are given by the orthogonal basis is shown by using enhanced symmetries at zero coupling.

Keywords

AdS-CFT and dS-CFT Correspondence

D-branes

Gauge-gravity correspondence

PACS

11.25.Hf Conformal field theory, algebraic structures

11.15.-q Gauge field theories

11.30.Pb Supersymmetry

Subjects

Particle physics and field theory

Dates

Issue 12 (December 2009)

Received 19 October 2009, accepted for publication 21 November 2009

Published 14 December 2009



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