More supersymmetric Wilson loops

Abstract:We study chiral deformations of N = 2 and N = 4 supersymmetric gauge theories obtained by turning on τ J tr Φ J interactions with Φ the N = 2 superfield. Using localization, we compute the deformed gauge theory partition function Z( τ |q) and the expectation value of circular Wilson loops W on a squashed four-sphere. In the case of the deformed N = 4 theory, exact formulas for Z and W are derived in terms of an underlying U(N ) interacting matrix model replacing the free Gaussian model describing the N = 4 theory. Using the AGT correspondence, the τ J -deformations are related to the insertions of commuting integrals of motion in the four-point CFT correlator and chiral correlators are expressed as τ -derivatives of the gauge theory partition function on a finite Ω-background. In the so called Nekrasov-Shatashvili limit, the entire ring of chiral relations is extracted from the -deformed Seiberg-Witten curve. As a byproduct of our analysis we show that SU(2) gauge theories on rational Ω-backgrounds are dual to CFT minimal models.

show abstract

“…Many such solutions have been found preserving different fractions of the original supersymmetry [1][2][3].…”

Section: Jhep11(2015)064mentioning

confidence: 99%

Wilson loops and chiral correlators on squashed spheres

Fucito

Morales

Poghossian

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Indeed, this T-dual formulation appears to play an important role in the recently discovered connection between maximally helicity-violating (MHV) gluon scattering amplitudes [20] and special Wilson loops (defined on contours formed by light-like gluon 3 See [15] for some applications of integrability to the computation of a wide class of Wilson loops. 4 The full actions have only SO(3, 1) × SO(6) as an obvious linearly realized symmetry.…”

Section: Jhep12(2007)082mentioning

confidence: 99%

On T-duality and integrability for strings on AdS backgrounds

Ricci

Tseytlin

Wolf

2007

J. High Energy Phys.

Self Cite

115

View full text Add to dashboard Cite

The algebra of the Lax connection for Tdual models J Kluso - Abstract:We discuss an interplay between T-duality and integrability for certain classical non-linear sigma models. In particular, we consider strings on the AdS 5 × S 5 background and perform T-duality along the four isometry directions of AdS 5 in the Poincaré patch. The T-dual of the AdS 5 sigma model is again a sigma model on an AdS 5 space. This classical T-duality relation was used in the recently uncovered connection between lightlike Wilson loops and MHV gluon scattering amplitudes in the strong coupling limit of the AdS/CFT duality. We show that the explicit coordinate dependence along the T-duality directions of the associated Lax connection (flat current) can be eliminated by means of a field dependent gauge transformation. As a result, the gauge equivalent Lax connection can easily be T-dualized, i.e. written in terms of the dual set of isometric coordinates. The T-dual Lax connection can be used for the derivation of infinitely many conserved charges in the T-dual model. Our construction implies that local (Noether) charges of the original model are mapped to non-local charges of the T-dual model and vice versa.

show abstract

“…They are characterized by a non-constant M(τ ) and depend on an internal angular parameter α. They should be considered the most direct three-dimensional analogue of the DGRT Wilson loop in four dimensions [40][41][42].…”

Section: Jhep06(2014)123mentioning

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

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.

show abstract

More supersymmetric Wilson loops

Cited by 109 publications

References 13 publications

Wilson loops and chiral correlators on squashed spheres

Wilson loops and chiral correlators on squashed spheres

On T-duality and integrability for strings on AdS backgrounds

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

Contact Info

Product

Resources

About