Space-time uncertainty principle and conformal symmetry in D-particle dynamics

Jevicki, Antal; Yoneya, Tamiaki

doi:10.1016/s0550-3213(98)00578-1

Cited by 90 publications

(157 citation statements)

References 21 publications

(24 reference statements)

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“…From the string point of view, the gauge transformation of B ij is related to the conformal transformation. In this sense, if noncommutative structures discussed here provide the space-time uncertainties [29,33,34] which are considered to reflect the conformal symmetries both in the world volume and the target space, then our result seems to be consistent with the proposal in [34] that two conformal symmetries play dual roles. It will be interesting to consider an interpretation of the relation (3.46) in the light of the space-time uncertainty.…”

Section: Conclusion and Discussionsupporting

confidence: 88%

World volume noncommutativity versus target space noncommutativity

Kato¹,

Kuroki²

1999

J. High Energy Phys.

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It is known that the noncommutativity of D-brane coordinate is responsible for describing the higher-dimensional D-branes in terms of more fundamental ones such as D-particles or D-instantons, while considering a noncommutative torus as a target space is conjectured to be equivalent to introducing the background antisymmetric tensor field in matrix models. In the present paper we clarify the dual nature of both descriptions. Namely the noncommutativity of conjugate momenta of the D-brane coordinates realizes the target space structure, whereas noncommutativity of the coordinates themselves realizes world volume structure. We explicitly construct a boundary state for the Dirichlet boundary condition where the string boundary is adhered to the D-brane on the noncommutative torus. There are non-trivial relations between the parameters appeared in the algebra of the coordinates and that of the momenta.

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Section: Conclusion and Discussionsupporting

confidence: 88%

World volume noncommutativity versus target space noncommutativity

Kato¹,

Kuroki²

1999

J. High Energy Phys.

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“…7) and calculate the gauge theory two-point function, by applying the GKP-Witten prescription. Strictly speaking, this action simply for a usual scalar field φ may not really describe the fluctuations around the Dp-brane (except for p = 3, where the dilaton background is constant), but the dependence on J will be inferred from this analysis.…”

Section: A1 Two-point Functions For the D0-branesmentioning

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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“…On the other hand, we have to take care of possible dangers of ordinary indefiniteness 9 The scaling transformation introduced in ref. [26] is obtained from the present definition if we redefine …”

Section: Jhep06(2016)058mentioning

confidence: 99%

“…(4.60) 26 Here [ , ]+ is the matrix anti-commutator. The simplest way of checking this algebra is to go to the special frame introduced in the appendix B and use the following identy [30] …”

Section: Jhep06(2016)058mentioning

confidence: 99%

“…Taking into account the projection conditions and the symmetry properties of the 11 dimensional Dirac matrices in the Majorana representation, this identity can be reduced to 26) in which the first and the second term on the left-hand side correspond, respectively, to the former and latter contributions of 3rd order. Now we have to go back to the redefinitions, (B.2) and (B.3).…”

Section: Jhep06(2016)058mentioning

confidence: 99%

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Covariantized matrix theory for D-particles

Yoneya

2016

J. High Energ. Phys.

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Abstract:We reformulate the Matrix theory of D-particles in a manifestly Lorentzcovariant fashion in the sense of 11 dimesnional flat Minkowski space-time, from the viewpoint of the so-called DLCQ interpretation of the light-front Matrix theory. The theory is characterized by various symmetry properties including higher gauge symmetries, which contain the usual SU(N ) symmetry as a special case and are extended from the structure naturally appearing in association with a discretized version of Nambu's 3-bracket. The theory is scale invariant, and the emergence of the 11 dimensional gravitational length, or M-theory scale, is interpreted as a consequence of a breaking of the scaling symmetry through a super-selection rule. In the light-front gauge with the DLCQ compactification of 11 dimensions, the theory reduces to the usual light-front formulation. In the time-like gauge with the ordinary M-theory spatial compactification, it reduces to a non-Abelian Born-Infeld-like theory, which in the limit of large N becomes equivalent with the original BFSS theory.

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Space-time uncertainty principle and conformal symmetry in D-particle dynamics

Cited by 90 publications

References 21 publications

World volume noncommutativity versus target space noncommutativity

World volume noncommutativity versus target space noncommutativity

PP-wave holography for Dp-brane backgrounds

Covariantized matrix theory for D-particles

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