Testing holography using lattice super-Yang-Mills theory on a 2-torus

Catterall, Simon; Jha, Raghav G.; Schaich, David; Wiseman, Toby

doi:10.1103/physrevd.97.086020

Cited by 49 publications

(72 citation statements)

References 98 publications

(251 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ref. [65] also calculates the internal energies of the dual black hole and black string, in both phases finding consistency with holographic expectations within large uncertainties. It will be interesting to see future work improve upon these results, ideally accessing lower temperatures in addition to gaining control over extrapolations to the large-N continuum limit.…”

Section: +1 Dimensionsmentioning

confidence: 59%

“…2 shows recent results from Ref. [65] for the phase diagram of twodimensional Q = 16 SYM, using the non-compact twisted construction described above [84 -87]. The system is formulated on an r L ×r β torus, with r β = 1/T the inverse dimensionless temperature while r L = L dim √ λ dim is the corresponding dimensionless length of the spatial cycle.…”

Section: +1 Dimensionsmentioning

confidence: 99%

“…Right: Phase diagram for two-dimensional Q = 16 SYM on an r L ×r β = r L × 1 T torus, from Ref. [65]. Lattice results for the 'spatial deconfinement' transition with fixed N = 12 and aspect ratios α = r L /r β from 8 (32×4) to 3/2 (18×12) are compared to the large-N high-T bosonic QM behavior (blue) and a low-T holographic calculation (red).…”

Section: +1 Dimensionsmentioning

confidence: 99%

See 2 more Smart Citations

Progress and prospects of lattice supersymmetry

Schaich¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

Self Cite

View full text Add to dashboard Cite

Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provides a nonperturbative regularization suitable for strongly interacting systems. Lattice investigations of supersymmetric field theories are currently making significant progress, though many challenges remain to be overcome. In this brief overview I discuss particularly notable progress in three areas: supersymmetric Yang-Mills (SYM) theories in fewer than four dimensions, as well as both minimal N = 1 SYM and maximal N = 4 SYM in four dimensions. I also highlight super-QCD and sign problems as prominent challenges that will be important to address in future work. Progress and prospects of lattice supersymmetry David Schaich Introduction, motivation and backgroundSupersymmetry plays prominent roles in modern theoretical physics, as a tool to improve our understanding of quantum field theory (QFT), as an ingredient in many new physics models, and as a means to study quantum gravity via holographic duality. Lattice field theory provides a nonperturbative regularization for QFTs, and other contributions to these proceedings document the prodigious success of this framework applied to QCD and similar theories. It is natural to consider employing lattice field theory to investigate supersymmetric QFTs, especially in strongly coupled regimes. In this proceedings I review the recent progress and future prospects of lattice studies of supersymmetric systems, focusing on four-dimensional gauge theories and their dimensional reductions to d < 4. 1 Lattice supersymmetry now has more than four decades of history [1], much of which is reviewed by Refs. [2 -7]. Unfortunately, progress in this field has been slower than for QCD, in large part because the lattice discretization of space-time breaks supersymmetry. This occurs in three main ways. First, the anti-commutation relation Q α , Qα = 2σ µ αα P µ in the super-Poincaré algebra connects the spinorial generators of supersymmetry transformations, Q α and Qα, to the generator of infinitesimal space-time translations, P µ . The absence of infinitesimal translations on the lattice consequently implies broken supersymmetry.Next, bosonic and fermionic fields are typically discretized differently on the lattice (in part due to the famous fermion doubling problem). In the specific context of supersymmetric gauge theories, standard discretizations associate the gauginos with lattice sites n (i.e., they transform as G(n)λ α (n)G † (n) under a lattice gauge transformation) while the gauge connections are associated with links between nearest-neighbor sites, transforming as G(n)U µ (n)G † (n + a µ) where 'a' is the lattice spacing. Away from the a → 0 continuum limit, these differences prevent supersymmetry transformations from correctly interchanging superpartners.Finally, supersymmetry requires a derivative operator that obeys the Leibniz rule [1], viz. ∂ [φη] = [∂φ] η + φ∂η, which is violated by standard la...

show abstract

Section: +1 Dimensionsmentioning

confidence: 59%

Section: +1 Dimensionsmentioning

confidence: 99%

Section: +1 Dimensionsmentioning

confidence: 99%

See 1 more Smart Citation

Progress and prospects of lattice supersymmetry

Schaich¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

Self Cite

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…For our detailed recent work on the two-dimensional theory, on which this proceedings is based, see Ref. [4].…”

Section: Introductionmentioning

confidence: 99%

Testing the holographic principle using lattice simulations

et al. 2018

Self Cite

View full text Add to dashboard Cite

Abstract. The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory-Laflamme) between them.

show abstract

Testing holography using lattice super-Yang-Mills theory on a 2-torus

Cited by 49 publications

References 98 publications

Progress and prospects of lattice supersymmetry

Progress and prospects of lattice supersymmetry

Thermal phase transition in Yang-Mills matrix model

Testing the holographic principle using lattice simulations

Contact Info

Product

Resources

About