Emergent Classical Strings from Matrix Model

Abstract

Generalizing the idea of hep-th/0509015 by Berenstein, Correa, and Vazquez, we study many-magnon states in an SU(2) sector of a reduced matrix quantum mechanics obtained from N=4 SU(N) super Yang-Mills on R x S^3. Generic Q-magnon states are described as a chain of ``string-bits'' joining Q+1 eigenvalues of background matrices which form a 1/2 BPS circular droplet in the large N limit. We will concentrate on infinitely long states whose first and last eigenvalues localize at the edge of the droplet. Each constituent string-bit has a complex quasi-momentum in general, while the total quasi-momentum P of the state is real. For given Q and P, the minimum energy of the chain of string-bits is realized when the Q+1 eigenvalues are equally spaced on one and the same line segment joining the two outmost eigenvalues localized on the edge with angular difference P. Such configuration of bound string-bits precisely reproduces the dispersion relation for dyonic giant magnons in classical string theory. We also show the emergence of two-spin folded/circular strings in special infinite spin limit as particular configurations of closed chains of string-bits.

1+23 pages, 3 figures

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Cited by in corpus (11)

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• A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
• Giant magnon bound states from strongly coupled N=4 SYM
• Strings on conifolds from strong coupling dynamics, part I
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction
• Black Hole Production from High Energy Scattering in AdS/CFT