1/4 BPS circular loops, unstable world-sheet instantons and the matrix model

Drukker, Nadav

doi:10.1088/1126-6708/2006/09/004

Cited by 110 publications

(238 citation statements)

References 28 publications

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“…They generalize the corresponding four-dimensional operators constructed in [43] and are in general 1/6−BPS. 2 For α = π 4 we are back to the 1/2−BPS operator of [26], whereas for α = 0 a new class of three-dimensional Zarembo-like Wilson loops [45] are obtained.…”

Section: Jhep06(2014)123mentioning

confidence: 84%

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BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Bianchi

Griguolo

Leoni

et al. 2014

J. High Energ. Phys.

193

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We study a family of circular BPS Wilson loops in N = 6 super ChernSimons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered as the ABJ(M) counterpart of the DGRT latitudes defined in N = 4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the appearance of framing-like phases and propose a general relation with cohomologically equivalent bosonic operators. We make an all-loop proposal for computing the Bremsstrahlung function associated to the 1/2-BPS cusp in terms of these generalized Wilson loops. When applied to our two-loop result it reproduces the known expression. Finally, we comment on the generalization of this proposal to the bosonic 1/6-BPS case.

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Section: Jhep06(2014)123mentioning

confidence: 84%

“…In particular, it takes advantage of the simple formula for a latitude loop W (θ 0 ) in terms of Laguerre polynomials [4,43] to compute the exact Bremsstrahlung function directly as [47] …”

Section: Abjm Bremsstrahlung Function From the Deformed Circlementioning

confidence: 99%

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Bianchi

Griguolo

Leoni

et al. 2014

J. High Energ. Phys.

193

View full text Add to dashboard Cite

show abstract

“…We can test the duality conjecture by comparing lattice results in the gauge theory side with theoretical predictions in the gravity side. In principle, unlike localization methods [10] and other analytical treatments [11,12] for BPS states, lattice gauge theory allows us to test it for any physical quantities and independently of N and 't Hooft coupling constant λ. Although lattice theory achieves great success for Yang-Mills theories, the nature of supersymmetry algebra makes it hard to put supersymmetric Yang-Mills theories on the lattice.…”

Section: Introductionmentioning

confidence: 99%

Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice

Giguère

Kadoh

2015

J. High Energ. Phys.

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We perform lattice simulations of two-dimensional supersymmetric Yang-Mills theory with sixteen supercharges with a lattice action which has two exact supercharges (Sugino lattice action). According to the gauge/gravity duality, the theory at finite temperature is expected to be well described by the corresponding black 1-branes, at low temperature in the large N limit. We aim to confirm the duality conjecture by comparing the lattice results with the theoretical predictions obtained in the gravity side. In this article, at the beginning of this study, we examine the supersymmetric Ward-Takahashi identity to test whether the lattice action reproduces the correct continuum theory. Numerical results of the SUSY WTI strongly suggest us that any cut-off effects, which break supersymmetry, disappear in the continuum limit. In addition, we study the issue of degenerate vacua and find that the admissiblilty condition or any other constraints of the link fields which guarantee the unique vacuum are not always needed.

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“…In order to treat this kind of small correction, one should include some quantum effects [20]. The worldsheet instantons also play a central role in the Wilson loops in the topological large N duality [21].…”

Section: Introductionmentioning

confidence: 99%

Semi-classical open string corrections and symmetric Wilson loops

Yamaguchi¹

2007

J. High Energy Phys.

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In the AdS/CFT correspondence, an AdS 2 × S 2 D3-brane with electric flux in AdS 5 × S 5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N = 4 super Yang-Mills theory. In order to distinguish the symmetric loop and the multiply wound loop, one should see an exponentially small correction in large 't Hooft coupling. We study semi-classically the disk open string attached to the D3-brane. We obtain the exponent of the term and it agrees with the result of the matrix model calculation of the symmetric Wilson loop.

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1/4 BPS circular loops, unstable world-sheet instantons and the matrix model

Cited by 110 publications

References 28 publications

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice

Semi-classical open string corrections and symmetric Wilson loops

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