String field theory from the IIB matrix model

In string or M theories, the spontaneous breaking of 10D or 11D Lorentz symmetry is required to describe our space-time. A direct approach to this issue is provided by the IIB matrix model. We study its 4D version, which corresponds to the zero volume limit of 4D super SU (N ) Yang-Mills theory. Based on the moment of inertia as a criterion, spontaneous symmetry breaking (SSB) seems to occur, so that only one extended direction remains, as first observed by Bialas, Burda et al. However, using Wilson loops as probes of space-time we do not observe any sign of SSB in Monte Carlo simulations where N is as large as 48. This agrees with an earlier observation that the phase of the fermionic integral, which is absent in the 4D model, should play a crucial rôle if SSB of Lorentz symmetry really occurs in the 10D IIB matrix model.

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“…In Ref. [16] it has been demonstrated that Wilson loops in matrix models can be identified with string creation operators in string theory.…”

Section: A Physical Criterion In Terms Of Wilson Loopsmentioning

confidence: 99%

“…We recall that in the interpretation of the IIB matrix model as a string theory, the Wilson loops are identified with the string creation operators [16]. Physical observables -such as scattering amplitudes -should be extracted from correlation functions of Wilson loops, which were observed to have well-defined large N limits in D = 4 [13].…”

Section: Introductionmentioning

confidence: 99%

On the spontaneous breakdown of Lorentz symmetry in matrix models of superstrings

et al. 2002

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“…2 Since this model is formulated in terms of Hermitian matrices, it has U(N) gauge symmetry. It has been postulated that the Wilson loops are the vertex operators for fundamental strings since they are the only gauge invariant observables [3]. They appear to play a key role to uncover local symmetries in matrix models.…”

Section: Introductionmentioning

confidence: 99%

Vertex operators in IIB matrix model

Kitazawa

2002

J. High Energy Phys.

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The vertex operators for the supergravity multiplet can be constructed through the Wilson lines in IIB matrix model. We investigate the structure of the vertex operators and the symmetry of their correlation functions. For this purpose, we perturb the theory by the Wilson lines dual to the supergravity multiplet. The structure of the Wilson lines can be determined by requiring N =2 SUSY under the low energy approximation. We argue that the generating functional of the correlators is invariant under local SUSY transformations of IIB

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“…The symmetry of these models is then U (N )× O(n). Recently a new class of multi-matrix models have been introduced in the framework of Superstring Theory and M-theory and the two main representative are the so-called IKKT-model [51,52,53] and the BFSS model [54]. They are proposed to be a non-perturbative definition of type IIB Superstring theory and M-Theory, respectively.…”

Section: Introductionmentioning

confidence: 99%

Rotational symmetry breaking in multimatrix models

Vernizzi

Wheater

2002

Phys. Rev. D

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We consider a class of multi-matrix models with an action which is O(D)-invariant, where D is the number of N × N Hermitian matrices X µ , µ = 1, . . . , D. The action is a function of all the elementary symmetric functions of the matrix T µν = T r(X µ X ν )/N . We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in the space of the parameters of the model reveals the existence of a critical boundary where the O(D) symmetry is maximally broken.

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String field theory from the IIB matrix model

Cited by 77 publications

References 3 publications

On the spontaneous breakdown of Lorentz symmetry in matrix models of superstrings

On the spontaneous breakdown of Lorentz symmetry in matrix models of superstrings

Vertex operators in IIB matrix model

Rotational symmetry breaking in multimatrix models

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