Fetching the paper…

Reading the bibliography…

2014

Results from lattice simulations of N=4 supersymmetric Yang--Mills

Catterall, Simon, Giedt, Joel, Schaich, David et al.

Original
PDF
Post on X

Understand

We report recent results and developments from our ongoing lattice studies of $\mathcal N = 4$ supersymmetric Yang--Mills theory.

These include a proof that only a single fine-tuning needs to be performed, so long as the moduli space is not lifted by nonperturbative effects.
We extend our investigations of supersymmetry restoration in the continuum limit by initiating Monte Carlo renormalization group studies.
We present additional numerical evidence that the lattice theory does not suffer from a sign problem.

Results from lattice simulations of N=4 supersymmetric Yang--Mills · Around

Built on

T. A. DeGrand and D. Toussaint, “Topological Excitations and Monte Carlo Simulation of Abelian Gauge Theory”, Phys. Rev. D22
1980
Earlier work this paper cites.
F. Palumbo, “Gauge Invariance on the Lattice With Noncompact Gauge Fields”, Phys. Lett. B244
1990
Earlier work this paper cites.
C. M. Becchi and F. Palumbo, “Noncompact gauge theories on a lattice: Perturbative study of the scaling properties”, Nucl. Phys. B388
1992
Earlier work this paper cites.
N. Marcus, “The other topological twisting of 𝒩 = 4 \mathcal{N}=4 Yang–Mills”, Nucl. Phys. B452
1995
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories”, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity”, Eur. Phys. J. C22
2001
Earlier work this paper cites.
F. Palumbo and R. Scimia, “Noncompact gauge fields on a lattice: SU( N N ) theories”, Phys. Rev. D65
2002
Earlier work this paper cites.
M. Ünsal, “Twisted supersymmetric gauge theories and orbifold lattices”, JHEP 0610
2006
Earlier work this paper cites.
A. Kapustin and E. Witten, “Electric-Magnetic Duality And The Geometric Langlands Program”, Commun. Num. Theor. Phys. 1
2007
Earlier work this paper cites.

Similar

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. D78
Original
2008
Cited alongside, same era.
A. Pineda, “Static potential in 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang-Mills at weak coupling”, Phys. Rev. D77
Original
2008
Cited alongside, same era.
S. Catterall, D. B. Kaplan and M. Unsal, “Exact lattice supersymmetry”, Phys. Rept. 484
Original
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. 102
Original
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 0909

Then

M. Stahlhofen, “NLL resummation for the static potential in 𝒩 = 4 \mathcal{N}=4 SYM theory”, JHEP 1211
Original
2012
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 1311
Original
2013
Later among the works it cites.
S. Catterall, J. Giedt and A. Joseph, “Twisted supersymmetries in lattice 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory”, JHEP 1310
Original
2013
Later among the works it cites.
M. Prausa and M. Steinhauser, “Two-loop static potential in 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang-Mills theory”, Phys. Rev. D88
Original
2013
Later among the works it cites.
C. Beem, L. Rastelli and B. C. van Rees, “ 𝒩 = 4 \mathcal{N}=4 Superconformal Bootstrap”, Phys. Rev. Lett. 111

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.

M. Hanada, S. Matsuura and F. Sugino, “Two-dimensional lattice for four-dimensional 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills”, Prog. Theor. Phys. 126

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 Lattice 2011

2011

Cited alongside, same era.

S. Catterall, E. Dzienkowski, J. Giedt, A. Joseph and R. Wells, “Perturbative renormalization of lattice 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory”, JHEP 1104

2011

Cited alongside, same era.

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 1211

2012

Cited alongside, same era.

D. Schaich and T. DeGrand, “Parallel software for lattice 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills theory”, arXiv:1410.6971

Cited in the paper.

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 344

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. D90

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.

C. Beem, L. Rastelli, A. Sen and B. C. van Rees, “Resummation and S-duality in 𝒩 = 4 \mathcal{N}=4 SYM”, JHEP 1404

Original

2014

Closest in time.