2019
DOI: 10.1007/jhep06(2019)077
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Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model

Abstract: The Lorentzian type IIB matrix model has been studied as a promising candidate for a nonperturbative formulation of superstring theory. In particular, the emergence of (3+1)D expanding space-time was observed by Monte Carlo studies of this model. It has been found recently, however, that the matrix configurations generated by the simulation is singular in that the submatrices representing the expanding 3D space have only two large eigenvalues associated with the Pauli matrices. This problem has been attributed… Show more

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Cited by 56 publications
(75 citation statements)
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“…One alternative in this scenario is the complex Langevin technique, which has been used to study theories with sign problems such as those with repulsive interactions [24] as well as polarized [25,26] and massimbalanced fermions [27] (see Ref. [28] for a review), finite density QCD with staggered quarks [29][30][31][32], random matrix models [33,34], rotating bosons [35,36], superstringinspired matrix models [37], among others.…”
Section: Many-body Methodsmentioning
confidence: 99%
“…One alternative in this scenario is the complex Langevin technique, which has been used to study theories with sign problems such as those with repulsive interactions [24] as well as polarized [25,26] and massimbalanced fermions [27] (see Ref. [28] for a review), finite density QCD with staggered quarks [29][30][31][32], random matrix models [33,34], rotating bosons [35,36], superstringinspired matrix models [37], among others.…”
Section: Many-body Methodsmentioning
confidence: 99%
“…In particular, the relation of fuzzy S 4 to fuzzy CP 2 was pointed out in [5,97,98], which is analogous to the bundle structure discussed in section 5. For numerical investigations we refer to [16,17,99,100] and references therein.…”
Section: Further Literaturementioning
confidence: 99%
“…Finally and perhaps most importantly, matrix models peg to be put on a computer. This is not easy in the case of Minkowski signature, but large-scale efforts are underway to implement and simulate the full IKKT model [16,17], with tantalizing evidence towards an expanding 3+1dimensional space-time structure. The long-term goal must then be to relate and test analytical investigations as discussed here with such numerical results.…”
Section: Introductionmentioning
confidence: 99%
“…Most importantly, the present model has a non-perturbative definition as a Yang-Mills type matrix model, which should make sense at the quantum level. There is indeed intriguing evidence from numerical simulations [28,29] that an expanding 3+1-dimensional space-time structure arises at the non-perturbative level. It should therefore be possible in principle to test, justify and possibly improve the analytical studies with numerical simulations.…”
Section: Introductionmentioning
confidence: 99%