What lattice theorists can do for superstring/M-theory

Hanada, Masanori

doi:10.1142/s0217751x16430065

Cited by 20 publications

(18 citation statements)

References 139 publications

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“…Refs. [10,11,12] for recent reviews) are applicable to 2d maximal SYM [13,14,15,16]. Numerical approaches are computationally expensive and it is hard to take N sufficiently large at this stage.…”

Section: Introductionmentioning

confidence: 99%

Thermal phase transition in Yang-Mills matrix model

Bergner¹,

Bodendorfer

Hanada

et al. 2020

J high energy phys

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We study the bosonic matrix model obtained as the high-temperature limit of twodimensional maximally supersymmetric SU(N ) Yang-Mills theory. So far, no consensus about the order of the deconfinement transition in this theory has been reached and this hinders progress in understanding the nature of the black hole/black string topology change from the gauge/gravity duality perspective. On the one hand, previous works considered the deconfinement transition consistent with two transitions which are of second and third order. On the other hand, evidence for a first order transition was put forward more recently. We perform high-statistics lattice Monte Carlo simulations at large N and small lattice spacing to establish that the transition is really of first order. Our findings flag a warning that the required large-N and continuum limit might not have been reached in earlier publications, and that was the source of the discrepancy. Moreover, our detailed results confirm the existence of a new partially deconfined phase which describes nonuniform black strings via the gauge/gravity duality. This phase exhibits universal features already predicted in quantum field theory.1 The U(1) part of the gauge group is decoupled from the SU(N ) part. Therefore, our results in this paper are valid also for the SU(N ) theory. The only technical difference is that the center symmetry becomes Z N instead of U(1). Note also that the U(1) part of the scalars are decoupled. In order to remove the trivial flat direction associated with the U(1) part, we impose β 0 dtX I (t) = 0 for each I.

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Section: Introductionmentioning

confidence: 99%

Thermal phase transition in Yang-Mills matrix model

Bergner¹,

Bodendorfer

Hanada

et al. 2020

J high energy phys

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“…A possible strategy to answer this question is to resort to lattice simulations, see e.g. [7]. In fact, this route seems to be the most promising one if one wants to establish whether a given theory of quantum gravity is a good approximation to string theory.…”

Section: Introductionmentioning

confidence: 99%

Holographic signatures of resolved cosmological singularities

Bodendorfer

Schäfer

Schliemann

2019

J. High Energ. Phys.

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The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of singularities in classical gravity, which limits the applicability of AdS/CFT to regimes where the singularities are avoided by bulk probes, or some other form of regularisation is applicable. At the same time, quantum gravity is expected to resolve those singularities and thus to extend the range of applicability of AdS/CFT also in classically singular regimes. This paper provides a proof of principle that such computations are already possible. We use a quantum corrected Kasner-AdS metric inspired by results from loop quantum gravity to compute the 2-point correlator in the geodesic approximation for a negative Kasner exponent. The correlator derived in the classical gravity approximation has previously been shown to contain a pole at finite distance as a signature of the singularity. Using the quantum corrected metric, we show explicitly how the pole is resolved and that a new subdominant long-distance contribution to the correlator emerges, caused by geodesics passing arbitrarily close to the resolved classical singularity. We stress that these results rely on several choices in the quantum corrected metric which allow for an analytic computation and may not hold in general. An alternative choice is presented where the correlator may remain singular even though the bulk singularity is resolved.

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“…In this case, one should work with a Lagrangian which is invariant under the local symmetries of the model (bosonic diffeomorphisms and fermionic κ-symmetry), whereas we will make use of the action in the AdS light-cone gauge which fixes them all. However, there is a number of reasons that makes this model interesting for lattice investigations, potentially beyond the community interested in numerical holography [240].…”

Section: String Effective Action Beyond the Next-to-leading Ordermentioning

confidence: 99%

“…On a different note, we conclude by mentioning -albeit not as much as it would deservethat recent years have also witnessed rapid progress in constructing lattice discretizations of supersymmetric gauge theories [240,243,244], in particular of the N = 4 SYM theory [245][246][247][248][249]. Large-scale calculations [250] have studied the static "interquark" potential [251,252] and the anomalous scaling dimension of the Konishi operator [253] (see also [240]).…”

Section: String Effective Action Beyond the Next-to-leading Ordermentioning

confidence: 99%