From supermembrane to matrix string

Sekino, Yasuhiro; Yoneya, Tamiaki

doi:10.1016/s0550-3213(01)00546-6

Cited by 34 publications

(87 citation statements)

References 24 publications

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“…and, correspondingly, the excitation modes along SO (7) and SO(1) arẽ 23) respectively: The BMN-ground state with a definite angular momentum J corresponds to T ++ ZZ···Z (J = ℓ I ). Then, starting from this ground state, single excitations along the SO (7) and SO(1) contribute to the shifts (n I , ℓ I ) → (n I , ℓ I + 1) and (n I , ℓ I ) → (n I + 1, ℓ I − 1), respectively.…”

Section: Case Of D0 In Supergravity Approximation Without Stringy Excmentioning

confidence: 99%

PP-wave holography for Dp-brane backgrounds

2004

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As an extension of the so-called BMN conjecture, we investigate the plane-wave limit for possible holographic connection between bulk string theories in non-conformal backgrounds of Dp-branes and the corresponding supersymmetric gauge theories for p < 5.Our work is based on the tunneling picture for dominant null trajectories of strings in the limit of large angular momentum. The tunneling null trajectories start from the near-horizon boundary and return to the boundary, and the resulting backgrounds are time-dependent for general Dp-branes except for p = 3. We develop a general method for extracting diagonalized two-point functions for boundary theories as Euclidean (bulk) S-matrix in the time-dependent backgrounds. For the case of D0-brane, two-point functions of supergravity modes are shown to agree with the results derived previously by the perturbative analysis of supergravity. We then discuss the implications of the holography for general cases of Dp-branes including the stringy excitations. All the cases (p = 3, p < 5) exhibit interesting infra-red behaviors, which are different from free-field theories, suggesting the existence of quite nontrivial fixed-points in dual gauge theories.

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Section: Case Of D0 In Supergravity Approximation Without Stringy Excmentioning

confidence: 99%

PP-wave holography for Dp-brane backgrounds

2004

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“…The corresponding matrixf is given bŷ 12) if one uses the previously known correspondence rule (5.7). We have computed numerically its eigenvalues, in the case a = 1, b = 2, c = 6, with N = 40.…”

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Membrane topology and matrix regularization

Shimada

2004

Nuclear Physics B

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The problem of membrane topology in the matrix model of M-theory is considered. The matrix regularization procedure, which makes a correspondence between finitesized matrices and functions defined on a two-dimensional base space, is reexamined. It is found that the information of topology of the base space manifests itself in the eigenvalue distribution of a single matrix. The precise manner of the manifestation is described. The set of all eigenvalues can be decomposed into subsets whose members increase smoothly, provided that the fundamental approximations in matrix regularization hold well. Those subsets are termed as eigenvalue sequences. The eigenvalue sequences exhibit a branching phenomenon which reflects Morse-theoretic information of topology.Furthermore, exploiting the notion of eigenvalue sequences, a new correspondence rule between matrices and functions is constructed. The new rule identifies the matrix elements directly with Fourier components of the corresponding function, evaluated along certain orbits. The rule has semi-locality in the base space, so that it can be used for all membrane topologies in a unified way. A few numerical examples are studied, and consistency with previously known correspondence rules is discussed. *

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“…Then in the second part, after a brief discussion on the generalized conformal symmetry [2,3] from the point of view of the AdS/CFT correspondence, I introduce the notion of 'oblique' AdS/CFT correspondence for nonconformal D0-branes. In the third part, I discuss the results of the harmonic analysis of supergravity fluctuations around the Dparticle background and its predictions for the two-point corrrelators of Matrix theory operators in the large N limit, based on our recent work [4] which contains, to my knowledge, the first extensive computation of the correlators for dilatonic case based on the AdS/CFT correspondence. I then propose to interpret the anomalous large N scaling behavior found from this analysis as an indication of a screening mechanism which may reconcile the holographic growth of the transverse size with 11 dimensional boost invariance.…”

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Generalized conformal symmetry and oblique AdS-CFT correspondence for matrix theory

Yoneya

2000

Class. Quantum Grav.

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Abstract. The large N behavior of Matrix theory is discussed on the basis of the previously proposed generalized conformal symmetry. The concept of 'oblique' AdS/CFT correspondence, in which the conformal symmetry involves both the spacetime coordinates and the string coupling constant, is proposed. Based on the explicit predictions for two-point correlators, possible implications for the Matrix-theory conjecture are discussed. The Matrix-theory conjecture [1] requires us to investigate the dynamics of D-particles described by the supersymmetric Yang-Mills matrix quantum mechanics in the large N limit. Unfortunately, very little is known as for the relevant large N behaviors of the matrix quantum mechanics. In the present talk, I shall discuss the large N limit of Matrix theory by extending the AdS/CFT correspondence to the matrix quantum mechanics using the previously proposed generalized conformal symmetry as a guide.The paper is organized into three parts. In the first part, I begin by briefly recalling the Matrix-theory conjecture and review the so-called DLCQ interpretation at finite N. The latter interpretation will be used as an intermediate step for our later arguments. Then in the second part, after a brief discussion on the generalized conformal symmetry [2,3] from the point of view of the AdS/CFT correspondence, I introduce the notion of 'oblique' AdS/CFT correspondence for nonconformal D0-branes. In the third part, I discuss the results of the harmonic analysis of supergravity fluctuations around the Dparticle background and its predictions for the two-point corrrelators of Matrix theory operators in the large N limit, based on our recent work [4] which contains, to my knowledge, the first extensive computation of the correlators for dilatonic case based on the AdS/CFT correspondence. I then propose to interpret the anomalous large N scaling behavior found from this analysis as an indication of a screening mechanism which may reconcile the holographic growth of the transverse size with 11 dimensional boost invariance. ‡

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From supermembrane to matrix string

Cited by 34 publications

References 24 publications

PP-wave holography for Dp-brane backgrounds

PP-wave holography for Dp-brane backgrounds

Membrane topology and matrix regularization

Generalized conformal symmetry and oblique AdS-CFT correspondence for matrix theory

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