Ginsparg–Wilson formulation of 2D SQCD with exact lattice supersymmetry

Kikukawa, Yoshio; Sugino, Fumihiko

doi:10.1016/j.nuclphysb.2009.04.007

Cited by 21 publications

(6 citation statements)

References 83 publications

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“…See also refs. [26,27,28,29,30,31,32,33,34,35,36] for recent works on lattice formulations of SUSY theories. As for 4d N = 4 SYM, any lattice formulations proposed so far seem to require fine-tuning of at least three parameters [37,38,39,40,41].…”

Section: Introductionmentioning

confidence: 99%

Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

Honda

Ishiki

Kim

et al. 2013

J. High Energ. Phys.

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Abstract:We perform nonperturbative studies of N = 4 super Yang-Mills theory by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral primary operators to test the AdS/CFT correspondence. Our results agree with the predictions obtained from the AdS side that the SUSY non-renormalization property is obeyed by the three-point functions but not by the four-point functions investigated in this paper. Instead of the lattice regularization, we use a novel regularization of the theory based on an equivalence in the large-N limit between the N = 4 SU(N ) theory on R × S 3 and a one-dimensional SU(N ) gauge theory known as the plane-wave (BMN) matrix model. The equivalence extends the idea of large-N reduction to a curved space and, at the same time, overcomes the obstacle related to the center symmetry breaking. The adopted regularization for S 3 preserves 16 SUSY, which is crucial in testing the AdS/CFT correspondence with the available computer resources. The only SUSY breaking effects, which come from the momentum cutoff Λ in R direction, are made negligible by using sufficiently large Λ.

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Section: Introductionmentioning

confidence: 99%

Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

Honda

Ishiki

Kim

et al. 2013

J. High Energ. Phys.

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“…[1] for a review and Refs. [2][3][4][5][6][7][8][9][10][11][12][13] for recent related works). One of the mysterious points of supersymmetry (SUSY) is that it is broken in our Universe, although it is widely believed that SUSY is a relevant symmetry beyond the standard model.…”

Section: Introductionmentioning

confidence: 99%

Vacuum energy of two-dimensionalN=(2,2)super Yang-Mills theory

Kanamori

2009

Phys. Rev. D

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We measure the vacuum energy of two-dimensional N ¼ ð2; 2Þ super Yang-Mills theory using lattice simulation. The obtained vacuum energy density is E 0 ¼ 0:09ð9Þð þ10 À8 Þg 2 , where the first error is the systematic and the second is the statistical one, measured in the dimensionful gauge coupling g which governs the scale of the system. The result is consistent with unbroken supersymmetry, although we cannot exclude a possible very small nonzero vacuum energy.

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“…In formulating the exact R symmetry on the lattice, however, there is a freedom in the choice of the bosonic part of the action. When one can preserve some part of the extended supersymmetries in the theories with N ≥ 2 [28,30], it seems useful to adopt the bosonic actions to preserve the supersymmetries, although one should take into care a possible effect of the violation of the reflection positivity. But, for the theories of N = 1, it seems difficult to preserve the supersymmetry in general [31].…”

Section: Discussionmentioning

confidence: 99%

Reflection Positivity of N=1 Wess-Zumino model on the lattice with exact U(1)_R symmetry

Usui¹

2012

Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011)

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By using overlap Majorana fermions, the N = 1 chiral multiple can be formulated so that the supersymmetry is manifest and the vacuum energy is cancelled in the free limit, thanks to the bilinear nature of the free action. It is pointed out, however, that in this formulation the reflection positivity seems to be violated in the bosonic part of the action, although it is satisfied in the fermionic part. It is found that the positivity of the spectral density of the bosonic two-point correlation function is ensured only for the spacial momenta a|p k | 1.84 (k = 1, 2, 3). It is then argued that in formulating N = 1 Wess-Zumino model with the overlap Majorana fermion, one may adopt a simpler nearest-neighbor bosonic action, discarding the free limit manifest supersymmetry. The model still preserves the would-be U(1) R symmetry and satisfies the reflection positivity.

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Ginsparg–Wilson formulation of 2D SQCD with exact lattice supersymmetry

Cited by 21 publications

References 83 publications

Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

Vacuum energy of two-dimensionalN=(2,2)super Yang-Mills theory

Reflection Positivity of N=1 Wess-Zumino model on the lattice with exact U(1)_R symmetry

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