String field theory from IIB matrix model

Fukuma, Masafumi; Kawai, Hiroyuki; Kitazawa, Yoshihisa; Tsuchiya, Asato

doi:10.1016/s0920-5632(98)00149-2

Cited by 73 publications

(130 citation statements)

References 28 publications

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“…The basic idea is to quantize the lowest dimensional D-brane nonperturbatively, instead of string itself. It has been shown [6] that 1/N expansion of the model proposed by Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) [3] gives the perturbation theory of type IIB superstring by reproducing the light-cone string field theory through Schwinger-Dyson equation. Above all, the way in which one should take the double scaling limit has been explicitly identified at least for sufficiently small string coupling constant.…”

Section: Introductionmentioning

confidence: 99%

“…The translational invariance is also essential in reproducing the string perturbation theory [6]. A regularization, however, adopted by IKKT [3] in order to make the integration over the bosonic hermitian matrices well-defined by requiring that the magnitude of the eigenvalues should be less than π/a, clearly violates the 10D translational invariance at the boundary of the eigenvalue space.…”

Section: Introductionmentioning

confidence: 99%

“…A regularization, however, adopted by IKKT [3] in order to make the integration over the bosonic hermitian matrices well-defined by requiring that the magnitude of the eigenvalues should be less than π/a, clearly violates the 10D translational invariance at the boundary of the eigenvalue space. A hope [6] might be that this does not cause any serious problem, since we take the cutoff a to zero in the end anyway, but it is certainly a flaw of this model.…”

Section: Introductionmentioning

confidence: 99%

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Unitary IIB matrix model and the dynamical generation of the space-time

Kitsunezaki¹,

Nishimura²

1998

Nuclear Physics B

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We propose a unitary matrix model as a regularization of the IIB matrix model of Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT). The fermionic part is incorporated using the overlap formalism in order to avoid unwanted "doublers" while preserving the global gauge invariance. This regularization, unlike the one adopted by IKKT, has manifest U(1) 10 symmetry, which corresponds to the ten-dimensional translational invariance of the space time. We calculate one-loop effective action around some typical BPSsaturated configurations in the weak coupling limit. We also discuss a possible scenario for the dynamical generation of the four-dimensional space time through spontaneous breakdown of the U(1) 10 symmetry in the double scaling limit. *

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Unitary IIB matrix model and the dynamical generation of the space-time

Kitsunezaki¹,

Nishimura²

1998

Nuclear Physics B

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“…However, according to Ref. [14], we have to take the double scaling limit in the weak coupling region. Since gauge theories in more than four dimensions should have an ultraviolet fixed point in the strong coupling regime, if any, the U(1)…”

Section: Application To Iib Matrix Modelmentioning

confidence: 99%

Applications of the overlap formalism to super Yang-Mills theories

Nishimura

1998

Nuclear Physics B - Proceedings Supplements

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“…Type IIB matrix model [1,2,3], a large N reduced model of maximally supersymmetric Yang-Mills theory, is one of those proposals. It is defined by the following action:…”

Section: Introductionmentioning

confidence: 99%

Space–time and Matter in the Iib Matrix Model — Gauge Symmetry and Diffeomorphism

Iso

Kawai

2000

Int. J. Mod. Phys. A

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We pursue the study of the type IIB matrix model as a constructive definition of superstring. In this paper, we justify the interpretation of space-time as distribution of eigenvalues of the matrices by showing that some low energy excitations indeed propagate in it. In particular, we show that if the distribution consists of small clusters of size n, low energy theory acquires local SU (n) gauge symmetry and a plaquette action for the associated gauge boson is induced, in addition to a gauge invariant kinetic term for a massless fermion in the adjoint representation of the SU (n). We finally argue a possible identification of the diffeomorphism symmetry with permutation group acting on the set of eigenvalues, and show that the general covariance is realized in the low energy effective theory even though we do not have a manifest general covariance in the IIB matrix model action. *

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String field theory from IIB matrix model

Cited by 73 publications

References 28 publications

Unitary IIB matrix model and the dynamical generation of the space-time

Unitary IIB matrix model and the dynamical generation of the space-time

Applications of the overlap formalism to super Yang-Mills theories

Space–time and Matter in the Iib Matrix Model — Gauge Symmetry and Diffeomorphism

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