In N ≥ 2 superconformal Chern-Simons-matter theories we construct the infinite family of Bogomol’nyi-Prasad-Sommerfield (BPS) Wilson loops featured by constant parametric couplings to scalar and fermion matter, including both line Wilson loops in Minkowski spacetime and circle Wilson loops in Euclidean space. We find that the connection of the most general BPS Wilson loop cannot be decomposed in terms of double-node connections. Moreover, if the quiver contains triangles, it cannot be interpreted as a super-matrix inside a superalgebra. However, for particular choices of the parameters it reduces to the well-known connections of 1/6 BPS Wilson loops in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory and 1/4 BPS Wilson loops in N = 4 orbifold ABJM theory. In the particular case of N = 2 orbifold ABJM theory we identify the gravity duals of a subset of operators. We investigate the cohomological equivalence of fermionic and bosonic BPS Wilson loops at quantum level by studying their expectation values, and find strong evidence that the cohomological equivalence holds quantum mechanically, at framing one. Finally, we discuss a stronger formulation of the cohomological equivalence, which implies non-trivial identities for correlation functions of composite operators in the defect CFT defined on the Wilson contour and allows to make novel predictions on the corresponding unknown integrals that call for a confirmation.

Mauri, A., Ouyang, H., Penati, S., Wu, J., Zhang, J. (2018). BPS Wilson loops in N ≥ 2 superconformal Chern-Simons-matter theories. JOURNAL OF HIGH ENERGY PHYSICS, 2018(11) [10.1007/JHEP11(2018)145].

BPS Wilson loops in N ≥ 2 superconformal Chern-Simons-matter theories

Penati, Silvia
Membro del Collaboration Group
;
2018

Abstract

In N ≥ 2 superconformal Chern-Simons-matter theories we construct the infinite family of Bogomol’nyi-Prasad-Sommerfield (BPS) Wilson loops featured by constant parametric couplings to scalar and fermion matter, including both line Wilson loops in Minkowski spacetime and circle Wilson loops in Euclidean space. We find that the connection of the most general BPS Wilson loop cannot be decomposed in terms of double-node connections. Moreover, if the quiver contains triangles, it cannot be interpreted as a super-matrix inside a superalgebra. However, for particular choices of the parameters it reduces to the well-known connections of 1/6 BPS Wilson loops in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory and 1/4 BPS Wilson loops in N = 4 orbifold ABJM theory. In the particular case of N = 2 orbifold ABJM theory we identify the gravity duals of a subset of operators. We investigate the cohomological equivalence of fermionic and bosonic BPS Wilson loops at quantum level by studying their expectation values, and find strong evidence that the cohomological equivalence holds quantum mechanically, at framing one. Finally, we discuss a stronger formulation of the cohomological equivalence, which implies non-trivial identities for correlation functions of composite operators in the defect CFT defined on the Wilson contour and allows to make novel predictions on the corresponding unknown integrals that call for a confirmation.
Articolo in rivista - Articolo scientifico
Chern-Simons Theories; M-Theory; Supersymmetric Gauge Theory; Wilson, ’t Hooft and Polyakov loops;
Chern-Simons Theories; M-Theory; Supersymmetric Gauge Theory; Wilson, ’t Hooft and Polyakov loops; High Energy Physics - Theory; High Energy Physics - Theory; Nuclear and High Energy Physics
English
2018
2018
11
145
open
Mauri, A., Ouyang, H., Penati, S., Wu, J., Zhang, J. (2018). BPS Wilson loops in N ≥ 2 superconformal Chern-Simons-matter theories. JOURNAL OF HIGH ENERGY PHYSICS, 2018(11) [10.1007/JHEP11(2018)145].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/220040
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