Fetching the paper…

Reading the bibliography…

2014

Parallel software for lattice N=4 supersymmetric Yang--Mills theory

Schaich, David, DeGrand, Thomas

Original
PDF
Post on X

Understand

We present new parallel software, SUSY LATTICE, for lattice studies of four-dimensional $\mathcal N = 4$ supersymmetric Yang--Mills theory with gauge group SU(N).

The lattice action is constructed to exactly preserve a single supersymmetry charge at non-zero lattice spacing, up to additional potential terms included to stabilize numerical simulations.
The software evolved from the MILC code for lattice QCD, and retains a similar large-scale framework despite the different target theory.
Many routines are adapted from an existing serial code, which SUSY LATTICE supersedes.

Parallel software for lattice N=4 supersymmetric Yang--Mills theory · Around

Built on

P. Dondi and H. Nicolai, “Lattice Supersymmetry”, Nuovo Cim
1977
Earlier work this paper cites.
S. Duane, A. Kennedy, B. Pendleton and D. Roweth, “Hybrid Monte Carlo”, Phys. Lett
1987
Earlier work this paper cites.
N. Marcus, “The other topological twisting of 𝒩 = 4 \mathcal{N}=4 Yang–Mills”, Nucl. Phys
1995
Earlier work this paper cites.
DESY–Munster Collaboration: I. Campos, A. Feo, R. Kirchner, S. Luckmann, I. Montvay, G. Münster, K. Spanderen and J. Westphalen, “Monte Carlo simulation of SU(2) Yang–Mills theory with light gluinos”, Eur. Phys. J
1999
Earlier work this paper cites.
I. P. Omelyan, I. M. Mryglod and R. Folk, “Optimized Verlet-like algorithms for molecular dynamics simulations”, Phys. Rev. E
2002
Earlier work this paper cites.
I. P. Omelyan, I. M. Mryglod and R. Folk, “Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations”, Comput. Phys. Commun
2003
Earlier work this paper cites.
S. Catterall and S. Karamov, “A Lattice study of the two-dimensional Wess-Zumino model”, Phys. Rev
2003
Earlier work this paper cites.
D. B. Kaplan and M. Unsal, “A Euclidean lattice construction of supersymmetric Yang–Mills theories with sixteen supercharges”, JHEP
2005
Earlier work this paper cites.
M. A. Clark and A. D. Kennedy, “AlgRemez”, http://github.com/mikeaclark/AlgRemez (2005)
2005
Earlier work this paper cites.
J. Terning, Modern Supersymmetry: Dynamics and Duality . Oxford University Press, Oxford, 2006
2006
Earlier work this paper cites.
M. Ünsal, “Twisted supersymmetric gauge theories and orbifold lattices”, JHEP
2006
Earlier work this paper cites.
C. Urbach, K. Jansen, A. Shindler and U. Wenger, “HMC algorithm with multiple time scale integration and mass preconditioning”, Comput. Phys. Commun
2006
Earlier work this paper cites.
A. Kapustin and E. Witten, “Electric-Magnetic Duality And The Geometric Langlands Program”, Commun. Num. Theor. Phys
2007
Earlier work this paper cites.
M. A. Clark and A. D. Kennedy, “Accelerating dynamical fermion computations using the rational hybrid Monte Carlo (RHMC) algorithm with multiple pseudofermion fields”, Phys. Rev. Lett
2007
Earlier work this paper cites.
M. Kato, M. Sakamoto and H. So, “Taming the Leibniz Rule on the Lattice”, JHEP
Original
2008
Earlier work this paper cites.
T. Ishii, G. Ishiki, S. Shimasaki and A. Tsuchiya, “ 𝒩 = 4 \mathcal{N}=4 Super Yang–Mills from the Plane Wave Matrix Model”, Phys. Rev
Original
2008
Earlier work this paper cites.

Similar

S. Catterall, “From Twisted Supersymmetry to Orbifold Lattices”, JHEP
Original
2008
Cited alongside, same era.
P. H. Damgaard and S. Matsuura, “Geometry of Orbifolded Supersymmetric Lattice Gauge Theories”, Phys. Lett
Original
2008
Cited alongside, same era.
S. Catterall, D. B. Kaplan and M. Unsal, “Exact lattice supersymmetry”, Phys. Rept
Original
2009
Cited alongside, same era.
J. Giedt, R. Brower, S. Catterall, G. T. Fleming and P. Vranas, “Lattice super-Yang–Mills using domain wall fermions in the chiral limit”, Phys. Rev
Original
2009
Cited alongside, same era.
M. G. Endres, “Dynamical simulation of 𝒩 = 1 \mathcal{N}=1 supersymmetric Yang–Mills theory with domain wall fermions”, Phys. Rev

Then

R. Galvez, S. Catterall, A. Joseph and D. Mehta, “Investigating the sign problem for two-dimensional 𝒩 = ( 2 , 2 ) \mathcal{N}=(2,2) and 𝒩 = ( 8 , 8 ) \mathcal{N}=(8,8) lattice super Yang–Mills theories”, PoS
Original
2011
Later among the works it cites.
S. Catterall and A. Joseph, “An object oriented code for simulating supersymmetric Yang–Mills theories”, Comput. Phys. Commun
Original
2012
Later among the works it cites.
S. Catterall, R. Galvez, A. Joseph and D. Mehta, “On the sign problem in 2D lattice super Yang–Mills”, JHEP
Original
2012
Later among the works it cites.
S. Catterall, P. H. Damgaard, T. Degrand, R. Galvez and D. Mehta, “Phase Structure of Lattice 𝒩 = 4 \mathcal{N}=4 Super Yang–Mills”, JHEP
Original
2012
Later among the works it cites.
M. Wimmer, “Algorithm 923: Efficient Numerical Computation of the Pfaffian for Dense and Banded Skew-Symmetric Matrices”, ACM Trans. Math. Softw

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, “Deconfinement phase transition in 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory on R × S 3 R\times S^{3} from supersymmetric matrix quantum mechanics”, Phys. Rev. Lett

2009

Cited alongside, same era.

G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, “Testing a novel large-N reduction for 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory on R × S 3 R\times S^{3} ”, JHEP

2009

Cited alongside, same era.

A. Stathopoulos and J. R. McCombs, “PRIMME: preconditioned iterative multimethod eigensolver–methods and software description”, ACM Trans. Math. Softw

2010

Cited alongside, same era.

JLQCD Collaboration: S. Kim, H. Fukaya, S. Hashimoto, H. Matsufuru, J. Nishimura and T. Onogi, “Lattice study of 4d 𝒩 = 1 \mathcal{N}=1 super Yang–Mills theory with dynamical overlap gluino”, PoS

2011

Cited alongside, same era.

M. Hanada, S. Matsuura and F. Sugino, “Two-dimensional lattice for four-dimensional 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills”, Prog. Theor. Phys

2011

Cited alongside, same era.

M. Honda, G. Ishiki, J. Nishimura and A. Tsuchiya, “Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in 4d 𝒩 = 4 \mathcal{N}=4 super-Yang–Mills theory”, PoS

2011

Cited alongside, same era.

MILC Collaboration: A. Bazavov, C. Bernard, T. Burch, T. DeGrand, C. DeTar, J. Foley, S. Gottlieb, U. Heller, J. Hetrick, L. Levkova, C. McNeile, K. Orginos, J. Osborn, K. Rummukainen, B. Sugar and D. Toussaint, “ The MILC Code ” (2011), http://www.physics.utah.edu/~detar/milc/

2011

Cited alongside, same era.

2012

Later among the works it cites.

M. Lüscher and S. Schaefer, “openQCD” (2012), http://luscher.web.cern.ch/luscher/openQCD/

2012

Later among the works it cites.

G. Bergner, I. Montvay, G. Münster, U. D. Özugurel and D. Sandbrink, “Towards the spectrum of low-lying particles in supersymmetric Yang–Mills theory”, JHEP

2013

Later among the works it cites.

M. Honda, G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, “Direct test of the AdS/CFT correspondence by Monte Carlo studies of 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory”, JHEP

Original

2013

Later among the works it cites.

A. Joseph, “Lattice formulation of three-dimensional 𝒩 = 4 \mathcal{N}=4 gauge theory with fundamental matter fields”, JHEP

2013

Later among the works it cites.

M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, “Holographic description of quantum black hole on a computer”, Science

2014

Closest in time.

S. Catterall, D. Schaich, P. H. Damgaard, T. DeGrand and J. Giedt, “ 𝒩 = 4 \mathcal{N}=4 supersymmetry on a space-time lattice”, Phys. Rev

2014

Closest in time.

S. Catterall and J. Giedt, “Real space renormalization group for twisted lattice 𝒩 = 4 \mathcal{N}=4 super Yang–Mills”, JHEP

2014

Closest in time.

A. Joseph, “Supersymmetric quiver gauge theories on the lattice”, JHEP

2014

Closest in time.

A. Joseph, “Two-dimensional 𝒩 = ( 2 , 2 ) \mathcal{N}=(2,2) lattice gauge theories with matter in higher representations”, JHEP

Original

2014

Closest in time.

S. Matsuura and F. Sugino, “Lattice formulation for 2d 𝒩 = ( 2 , 2 ) \mathcal{N}=(2,2) , (4, 4) super Yang–Mills theories without admissibility conditions”, JHEP

2014

Closest in time.