Testing the holographic principle using lattice simulations

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

doi:10.1051/epjconf/201817508004

Cited by 13 publications

(20 citation statements)

References 29 publications

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“…As discussed above we use a small mass parameter µ = ζ rτ Nt = ζ √ λa to regulate potential divergences associated with the flat directions. As for case of sixteen supercharge theory in two dimensions [33,34], we extrapolate all our results to µ = 0.…”

Section: Lattice Simulationsmentioning

confidence: 88%

“…In this four supercharge theory, unlike the sixteen supercharge case in two dimensions, the thermal instabilities at low temperatures are less severe and we can access relatively small temperatures without truncating the U (1) degree of freedom as done in our recent work [33,34]. However, we have to use a small mass term to control the classical flat directions associated with the scalars.…”

Section: Introductionmentioning

confidence: 99%

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Nonperturbative study of dynamical SUSY breaking in N=(2,2) Yang-Mills theory

Catterall¹,

Jha²,

Joseph³

2018

Phys. Rev. D

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We examine the possibility of dynamical supersymmetry breaking in two-dimensional N ¼ ð2; 2Þ supersymmetric Yang-Mills theory. The theory is discretized on a Euclidean spacetime lattice using a supersymmetric lattice action. We compute the vacuum energy of the theory at finite temperature and take the zero-temperature limit. Supersymmetry will be spontaneously broken in this theory if the measured ground-state energy is nonzero. By performing simulations on a range of lattices up to 96 × 96 we are able to perform a careful extrapolation to the continuum limit for a wide range of temperatures. Subsequent extrapolations to the zero-temperature limit yield an upper bound on the ground-state energy density. We find the energy density to be statistically consistent with zero in agreement with the absence of dynamical supersymmetry breaking in this theory.

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Section: Lattice Simulationsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Nonperturbative study of dynamical SUSY breaking in N=(2,2) Yang-Mills theory

Catterall¹,

Jha²,

Joseph³

2018

Phys. Rev. D

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“…All together, these quantities provide valuable predictions for calculations within lattice quantum field theory (see e.g. [32,33,34]).…”

Section: Introductionmentioning

confidence: 99%

Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM

Ammon

Kalisch

Moeckel

2018

J. High Energ. Phys.

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We numerically construct static localized black holes in ten spacetime dimensions with one compact periodic dimension. In particular, we investigate the critical regime in which the poles of the localized black hole are about to merge. When approaching the critical region, the behavior of physical quantities is described by a single real valued exponent giving rise to a logarithmic scaling of the thermodynamic quantities, in agreement with the theoretical prediction derived from the double-cone metric. As a peculiarity, the localized black hole solution in ten dimensions can be related to the spatially deconfined phase of two dimensional N = (8, 8) super Yang-Mills theory (SYM) on a spatial circle. We use the localized black hole solutions to determine the SYM phase diagram. In particular, we compute the location of the first order phase confinement/deconfinement transition and the related latent heat to unprecedented accuracy.

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“…In four dimensions, the only non-trivial viscosity coefficient is η since the bulk viscosity (ζ) vanishes in N = 4 SYM. Recently, we explored the two-dimensional supersymmetric gauge theory on a skewed torus and confirmed the phase transition between two different black hole solutions and computed the dual free energy in both phases [8,9]. In this proceedings, we propose to study thermodynamics of the gauge theory in more detail by not only calculating the internal/free energy but rather the equation of state (EoS) on a square torus (hypercubic trajectories in the moduli space), which in turn will enable us to calculate the speed of the sound, i.e c s , the simplest transport coefficient.…”

Section: Introductionmentioning

confidence: 86%

The properties of D1-branes from lattice super Yang--Mills theory using gauge/gravity duality

Jha¹

2019

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

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The two-dimensional supersymmetric Yang-Mills (SYM) theory with sixteen supercharges at large N and strong 't Hooft coupling is conjectured to be dual to certain supergravity solutions in the decoupling limit. We discretize the gauge theory preserving a subset of supersymmetries on the lattice. Based on the choice of a point in the moduli space for the expansion of the gauge links to target the correct continuum theory, one ends up with different lattice geometries. In our previous work, we explored the free energy and the phase structure on a skewed torus corresponding to A * 2 lattice geometry. Here, we will consider square lattice and calculate the free energy, equation of state and speed of sound in this strongly coupled supersymmetric plasma. Since there is no shear viscosity in two dimensions, we comment on the expectations for the bulk viscosity from the calculations on the dual supergravity side, which unlike the conformal N = 4 SYM case does not vanish and is proportional to the trace of energy-momentum tensor.

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Testing the holographic principle using lattice simulations

Cited by 13 publications

References 29 publications

Nonperturbative study of dynamical SUSY breaking in N=(2,2) Yang-Mills theory

Nonperturbative study of dynamical SUSY breaking in N=(2,2) Yang-Mills theory

Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM

The properties of D1-branes from lattice super Yang--Mills theory using gauge/gravity duality

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