<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">N</mml:mi><mml:mo mathvariant="bold">=</mml:mo><mml:mn>4</mml:mn></mml:math>Superconformal Bootstrap

Beem, Christopher; Rastelli, Leonardo; Rees, Balt C. van

doi:10.1103/physrevlett.111.071601

Cited by 211 publications

(254 citation statements)

References 82 publications

(170 reference statements)

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“…In principle the slope of this line yields (twice) the scaling dimension of the Konishi operator and we are currently working hard to extract this scaling dimension as a function of the 't Hooft coupling to compare with results in the planar limit 57 and bounds from the conformal bootstrap approach. 56 Preliminary results obtained from a Monte Carlo renormalization group analysis are in agreement with perturbative calculations at weak coupling.…”

Section: N = 4 Supersymmetric Yang-mills Theorysupporting

confidence: 68%

“…It allows us to search for signs of S-duality 54,55 and to test the bounds on anomalous dimensions provided by the conformal bootstrap program. 56 One of the central features of N = 4 Yang-Mills that we would like to reproduce is the fact that it is conformal for any value of the gauge coupling. To this end we have computed the static potential V (r) from the correlators of Wilson lines (after gauge fixing).…”

Section: N = 4 Supersymmetric Yang-mills Theorymentioning

confidence: 99%

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Supersymmetry on the lattice

Bergner

Catterall

2016

Int. J. Mod. Phys. A

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We discuss the motivations, difficulties and progress in the study of supersymmetric lattice gauge theories focusing in particular on N = 1 and N = 4 super Yang-Mills in four dimensions. Brief reviews of the corresponding lattice formalisms are given and current results are presented and discussed. We conclude with a summary of the main aspects of current work and prospects for the future.Keywords: Supersymmetry; Lattice quantum field theory; Lattice gauge field theories PACS numbers: 11.15. Ha, 11.30.Pb, 11.25.Tq, 12.38.Gc 1. Why study supersymmetric theories using lattice gauge theory?There are several reasons why supersymmetry has played such an important and prominent role in modern developments of quantum field theory. One is its versatility in constructing extensions of the Standard Model of particle physics. Supersymmetry provides a solution to the hierarchy problem by providing a mechanism for the cancellation of bosonic and fermionic contributions to quantities such as the Higgs mass and as a bonus it includes natural candidates for dark matter. Furthermore, supersymmetric extensions of the standard model have implications at scales that are testable by current collider experiments. At the more fundamental level supersymmetry provides a bridge between the standard model and descriptions of quantum gravity based on supergravity and string theory.Supersymmetric extensions of the standard model like the minimal supersymmetric Standard Model (MSSM) are based on softly broken supersymmetric theories and the relations to the experimental data are usually established by perturbative calculations. In general there are very many of these soft breaking terms (approximately one hundred in the MSSM) and this yields to a lack of predictability in such theories. It is generally believed that such softly broken theories should be thought 1 arXiv:1603.04478v2 [hep-lat]

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Section: N = 4 Supersymmetric Yang-mills Theorysupporting

confidence: 68%

Section: N = 4 Supersymmetric Yang-mills Theorymentioning

confidence: 99%

Supersymmetry on the lattice

Bergner

Catterall

2016

Int. J. Mod. Phys. A

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“…Such lattice results would be complementary to those obtainable in perturbation theory or via the conformal bootstrap program [44].…”

Section: Discussionmentioning

confidence: 75%

N=4supersymmetry on a space-time lattice

Catterall¹,

Schaich²,

Damgaard³

et al. 2014

Phys. Rev. D

138

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Maximally supersymmetric Yang-Mills theory in four dimensions can be formulated on a spacetime lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N ), the lattice formulation is naturally described in terms of gauge group U(N ). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N ) gauge group with the expected apparently conformal behavior at both weak and strong coupling.

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“…The superconformal bootstrap has been implemented in different dimensions with different amounts of supersymmetry, see [7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Here we will be concerned with 4d N = 2 SCFTs.…”

Section: Introductionmentioning

confidence: 99%

Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators

Lemos

Liendo

2016

J. High Energ. Phys.

101

126

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We apply the numerical bootstrap program to chiral operators in fourdimensional N = 2 SCFTs. In the first part of this work we study four-point functions in which all fields have the same conformal dimension. We give special emphasis to bootstrapping a specific theory: the simplest Argyres-Douglas fixed point with no flavor symmetry. In the second part we generalize our setup and consider correlators of fields with unequal dimension. This is an example of a mixed correlator and allows us to probe new regions in the parameter space of N = 2 SCFTs. In particular, our results put constraints on relations in the Coulomb branch chiral ring and on the curvature of the Zamolodchikov metric.

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N=4Superconformal Bootstrap

Cited by 211 publications

References 82 publications

Supersymmetry on the lattice

Supersymmetry on the lattice

N=4supersymmetry on a space-time lattice

Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators

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