Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction

Abstract

We consider the large N spectrum of the quantum mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills interaction. In a framework where one of the matrices is treated exactly and the other is treated as a creation operator impurity, the difference equation associated with the Yang-Mills interaction is derived and solved exactly for two impurities. In this case, the full string tension corrected spectrum depends on two momenta. For a specific value of one of these momenta, the spectrum has the same structure as that of giant magnon bound states. States with general number of impurities are also discussed.

arXiv comment13 pages, latex. One reference added

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Cited by in corpus (5)

• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Laplacians in polar matrix coordinates and radial fermionization in higher dimensions
• Non supersymmetric strong coupling background from the large N quantum mechanics of two matrices coupled via a Yang-Mills interaction
• Matrix and tensor witnesses of hidden symmetry algebras
• Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings