Vertex operators in IIB matrix model

Kitazawa, Yoshihisa

doi:10.1088/1126-6708/2002/04/004

Cited by 18 publications

(24 citation statements)

References 37 publications

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“…Since vertex operators are determined by the requirement that they transform into one another under supersymmetry transformations, we can uniquely determine the vertex operators to calculate the amplitude of multipoint function. On the other hand, the vertex operators in the type IIB matrix model are constructed in [8,14,15] where external momenta are carried by the Wilson lines. (3) We can derive the vertex operators for the GS type IIA light-cone string directly from the type IIB matrix model, which will be done in [13].…”

Section: Discussionmentioning

confidence: 99%

“…In this interpretation, we obtain type IIA superstring theory. Indeed, vertex operators in GS lightcone superstring for the type IIA supergravity multiplet are constructed [13] from original vertex operators for the type IIB matrix model [8,14,15]. Vertex operators in the matrix model are utilized to show the localization of gravity on the D-brane [16] like a Randall-Sundrum model [17].…”

Section: A Superstring Actionmentioning

confidence: 99%

“…In string theory, the interaction vertex for GS light-cone closed superstring is completely determined by the supersymmetry transformation. In the IIB matrix model, the coupling to the supergravity multiplet is determined by the supersymmetry transformation [8]. The action of the IIB matrix model can be derived by the dimensional reduction of ten-dimensional super YangMills (SYM) theory to zero dimension.…”

Section: Introductionmentioning

confidence: 99%

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Green-Schwarz superstring from type IIB matrix model

Kitazawa

Nagaoka

2008

Phys. Rev. D

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We construct Green-Schwarz (GS) light-cone closed superstring theory from type IIB matrix model. A GS light-cone string action is derived from two dimensional N=8 U(n) noncommutative Yang-Mills (NCYM) by identifying noncommutative scale with string scale. Supersymmetry transformation for the light-cone gauge action is also derived from supersymmetry transformation for IIB matrix model. By identifying the physical states and interaction vertices, string theory is perturbatively reproduced.Comment: 5 pages, 3 figures, minor revision

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Section: Discussionmentioning

confidence: 99%

Section: A Superstring Actionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Green-Schwarz superstring from type IIB matrix model

Kitazawa

Nagaoka

2008

Phys. Rev. D

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“…The derivation itself is systematic but the complete calculation is cumbersome. Partial results were obtained in [13]. More complete analysis was given in [1] 1 .…”

Section: Vertex Operatorsmentioning

confidence: 99%

Fermionic backgrounds and condensation of supergravity fields in the type IIB matrix model

et al. 2005

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In a previous paper [1] we constructed wave functions of a D-instanton and vertex operators in type IIB matrix model by expanding supersymmetric Wilson line operators. They describe couplings of a Dinstanton and type IIB matrix model to the massless closed string fields, respectively, and form a multiplet of D 10 N 2 supersymmetries. In this paper we consider fermionic backgrounds and condensation of supergravity fields in IIB matrix model by using these wave functions. We start from the type IIB matrix model in a flat background whose matrix size is N 1 N 1, or equivalently the effective action for N 1 D-instantons. We then calculate an effective action for N D-instantons by integrating out 1 Dinstanton (which we call a mean-field D-instanton) with an appropriate wave function and show that various terms can be induced corresponding to the choice of the wave functions. In particular, a ChernSimons-like term is induced when the mean-field D-instanton has a wave function of the antisymmetric tensor field. A fuzzy sphere becomes a classical solution to the equation of motion for the effective action. We also give an interpretation of the above wave functions in the superstring theory side as overlaps of the D-instanton boundary state with the closed string massless states in the Green-Schwarz formalism.

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“…The coupling between the fields in the supergravity multiplet and the operators in IIB matrix model has been clarified through the construction of the relevant vertex operators. The vertex operators for the supergravity multiplet are determined uniquely by the maximal N = 2 supersymmetry transformation in IIB matrix model [10,11,12]. These operators are constructed in [10] in the first study, where the wave functions are introduced as the representations of supergravity multiplet.…”

Section: Introductionmentioning

confidence: 99%

Superstring vertex operators in type IIB matrix model

Kitazawa

Nagaoka

2008

Phys. Rev. D

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We clarify the relation between the vertex operators in type IIB matrix model and superstring. Green-Schwarz light-cone closed superstring theory is obtained from IIB matrix model on two dimensional noncommutative backgrounds. Superstring vertex operators should be reproduced from those of IIB matrix model through this connection. Indeed, we confirm that supergravity vertex operators in IIB matrix model on the two dimensional backgrounds reduce to those in superstring theory. Noncommutativity plays an important role in our identification. Through this correspondence, we can reproduce superstring scattering amplitudes from IIB matrix model.

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Vertex operators in IIB matrix model

Cited by 18 publications

References 37 publications

Green-Schwarz superstring from type IIB matrix model

Green-Schwarz superstring from type IIB matrix model

Fermionic backgrounds and condensation of supergravity fields in the type IIB matrix model

Superstring vertex operators in type IIB matrix model

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