Three-dimensional super-Yang-Mills theory on the lattice and dual black branes

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

doi:10.1103/physrevd.102.106009

Cited by 19 publications

(29 citation statements)

References 60 publications

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“…The first numerical lattice studies of 𝑄 = 16 SYM in three dimensions were recently carried out [4], focusing on the behavior of dual black D2-branes at finite temperature. This work employs a straightforward dimensional reduction of the 4d lattice theory, using the 4d code presented in Ref.…”

Section: D Sym With 𝑄 = 16: Dual Black Branes and Pfaffian Phasementioning

confidence: 99%

“…A notable achievement of Ref. [4] was carrying out the first 𝑁 𝜏 → ∞ continuum extrapolations of 𝑠 Bos , which send 𝜆 lat → 0 in order to keep the dimensionless temperature 𝑡 fixed. In the time since Ref.…”

Section: D Sym With 𝑄 = 16: Dual Black Branes and Pfaffian Phasementioning

confidence: 99%

“…In the time since Ref. [4] was published, we have accumulated more data for several of the ensembles it analyzed, leading to the improved results presented in Fig. 1.…”

Section: D Sym With 𝑄 = 16: Dual Black Branes and Pfaffian Phasementioning

confidence: 99%

“…There are various motivations for considering these various theories. The 𝑄 = 16 theories are believed to be holographically dual to quantum gravity in 𝑑 + 1 space-time dimensions, with the more modest computational costs of 3d 𝑄 = 16 SYM making it a promising target for non-trivial tests of holography [4]. Continuum 4d 𝑄 = 16 SYM is the conformal field theory of the original AdS/CFT correspondence, while its 3d counterpart is believed to flow to a conformal IR fixed point, tying in to current interest in lattice studies of near-conformality for physics beyond the standard model [5].…”

Section: Introductionmentioning

confidence: 99%

“…We begin by considering 3d 𝑄 = 16 SYM in the next section, improving some results from Ref. [4] and analyzing the pfaffian. In Section 3 we discuss the running couplings for both 𝑄 = 16 theories, based on Creutz ratios.…”

Section: Introductionmentioning

confidence: 99%

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Investigations of supersymmetric Yang--Mills theories

Angel¹,

Schaich²

2022

Preprint

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We present new results from ongoing lattice investigations of supersymmetric Yang-Mills (SYM) theories in three and four space-time dimensions. First considering the maximally supersymmetric 3d theory with 𝑄 = 16 supercharges, we check that the fermion pfaffian is approximately real and positive, validating phase-quenched RHMC calculations. We then initiate lattice studies of running couplings and non-perturbative 𝛽 functions for 𝑄 = 16 SYM in both 3d and 4d, using a simple scheme based on Creutz ratios. Finally, we consider 3d SYM with 𝑄 = 8 supercharges, developing new software as a first step towards supersymmetric QCD.

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Section: D Sym With 𝑄 = 16: Dual Black Branes and Pfaffian Phasementioning

confidence: 99%

Section: D Sym With 𝑄 = 16: Dual Black Branes and Pfaffian Phasementioning

confidence: 99%

“…In the time since Ref. [4] was published, we have accumulated more data for several of the ensembles it analyzed, leading to the improved results presented in Fig. 1.…”

Section: D Sym With 𝑄 = 16: Dual Black Branes and Pfaffian Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigations of supersymmetric Yang--Mills theories

Angel¹,

Schaich²

2022

Preprint

Self Cite

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Precision test of gauge/gravity duality in D0-brane matrix model at low temperature

Pateloudis

Bergner²,

Hanada

et al. 2023

J. High Energ. Phys.

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We test the gauge/gravity duality between the matrix model and type IIA string theory at low temperatures with unprecedented accuracy. To this end, we perform lattice Monte Carlo simulations of the Berenstein-Maldacena-Nastase (BMN) matrix model, which is the one-parameter deformation of the Banks-Fischler-Shenker-Susskind (BFSS) matrix model, taking both the large N and continuum limits. We leverage the fact that sufficiently small flux parameters in the BMN matrix model have a negligible impact on the energy of the system while stabilizing the flat directions so that simulations at smaller N than in the BFSS matrix model are possible. Hence, we can perform a precision measurement of the large N continuum energy at the lowest temperatures to date. The energy is in perfect agreement with supergravity predictions including estimations of α′-corrections from previous simulations. At the lowest temperature where we can simulate efficiently (T = 0.25λ1/3, where λ is the ’t Hooft coupling), the difference in energy to the pure supergravity prediction is less than 10%. Furthermore, we can extract the coefficient of the 1/N4 corrections at a fixed temperature with good accuracy, which was previously unknown.

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Confinement/deconfinement transition in the D0-brane matrix model — A signature of M-theory?

Bergner

Bodendorfer

Hanada

et al. 2022

J. High Energ. Phys.

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We study the confinement/deconfinement transition in the D0-brane matrix model (often called the BFSS matrix model) and its one-parameter deformation (the BMN matrix model) numerically by lattice Monte Carlo simulations. Our results confirm general expectations from the dual string/M-theory picture for strong coupling. In particular, we observe the confined phase in the BFSS matrix model, which is a nontrivial consequence of the M-theory picture. We suggest that these models provide us with an ideal framework to study the Schwarzschild black hole, M-theory, and furthermore, the parameter region of the phase transition between type IIA superstring theory and M-theory. A detailed study of M-theory via lattice Monte Carlo simulations of the D0-brane matrix model might be doable with much smaller computational resources than previously expected.

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Three-dimensional super-Yang-Mills theory on the lattice and dual black branes

Cited by 19 publications

References 60 publications

Investigations of supersymmetric Yang--Mills theories

Investigations of supersymmetric Yang--Mills theories

Precision test of gauge/gravity duality in D0-brane matrix model at low temperature

Confinement/deconfinement transition in the D0-brane matrix model — A signature of M-theory?

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