Supersymmetric Wilson loops in two dimensions and duality

Panerai, Rodolfo; Poggi, Matteo; Seminara, Domenico

doi:10.1103/physrevd.100.025011

Cited by 3 publications

(3 citation statements)

References 76 publications

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“…Supersymmetric localization allows also to compute more general correlation functions that include local operators [5][6][7][8][9][10][11][12][13], the Bremsstrahlung function [14,15] or multiple insertions of Wilson loops and Wilson loops in higher dimensional representations [16][17][18][19][20]. Interesting attempts to extend these exact results to different frameworks have been achieved in two dimensions [21] and in the threedimensional analogue of N = 4, ABJM theory, where localization was still successfully implemented [22][23][24][25][26] and several observables have been computed exactly [27][28][29][30], see [31] for a recent review.…”

Section: Jhep11(2021)023mentioning

confidence: 99%

Wilson loop correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

Galvagno

Preti

2021

J. High Energ. Phys.

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We complete the program of [1] about perturbative approaches for $$ \mathcal{N} $$ N = 2 superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the help of supersymmetric localization. We compute Wilson loop vacuum expectation values, correlators of multiple coincident Wilson loops and one-point functions of chiral operators in presence of them acting as superconformal defects. We extend this analysis to the most general case considering chiral operators and multiple Wilson loops scattered in all the possible ways among the vector multiplets of the quiver. Finally, we identify twisted and untwisted observables which probe the orbifold of AdS5 × S5 with the aim of testing possible holographic perspectives of quiver theories in $$ \mathcal{N} $$ N = 2.

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Section: Jhep11(2021)023mentioning

confidence: 99%

Wilson loop correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

Galvagno

Preti

2021

J. High Energ. Phys.

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“…Finally, one can compute correlators by adding insertions of BPS operators coming either from the N = (2, 2) multiplets (e.g. [47,48]) or from the bulk theory. The latter have been extensively discussed in section 6, whether the former appear in the quantum mechanics as insertions of local operators at the intersection point, namely t = 0.…”

Section: Jhep09(2020)185mentioning

confidence: 99%

Topological correlators and surface defects from equivariant cohomology

Panerai

Pittelli

Polydorou

2020

J. High Energ. Phys.

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We find a one-dimensional protected subsector of $$ \mathcal{N} $$ N = 4 matter theories on a general class of three-dimensional manifolds. By means of equivariant localization we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on S3. Then, we apply it to the novel case of S2× S1 and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models are naturally associated with a noncom- mutative star product, while their correlation functions are essentially topological. Finally, we couple the three-dimensional theory to general $$ \mathcal{N} $$ N = (2, 2) surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system.

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“…Finally, one can compute correlators by adding insertions of BPS operators coming either from the N = (2, 2) multiplets (e.g. [40,41]) or from the bulk theory. The latter have been extensively discussed in Section 6, whether the former appear in the quantum mechanics as insertions of local operators at the intersection point, namely t = 0.…”

mentioning

confidence: 99%

Topological Correlators and Surface Defects from Equivariant Cohomology

Panerai,

Pittelli,

Polydorou

2020

Preprint

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We find a one-dimensional protected subsector of N = 4 matter theories on a general class of three-dimensional manifolds. By means of equivariant localization we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on S 3 . Then, we apply it to the novel case of S 2 × S 1 and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models form a topological ring and that their correlation functions are naturally associated with a noncommutative star product. Finally, we couple the three-dimensional theory to general N = (2, 2) surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system.

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Supersymmetric Wilson loops in two dimensions and duality

Cited by 3 publications

References 76 publications

Wilson loop correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

Wilson loop correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

Topological correlators and surface defects from equivariant cohomology

Topological Correlators and Surface Defects from Equivariant Cohomology

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