We review the recent progress in the study of line defects in three-dimensional Chern– Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical defects, supporting a topological sector of the theory. After reviewing the construction of this sector, we concentrate on the evaluation of topological correlators from the partition function of the mass-deformed ABJM theory and provide evidence on the existence of topological quantum mechanics living on the line. In the second part, we consider the dynamical defects realized as latitude BPS Wilson loops for which an exact evaluation is available in terms of a latitude Matrix Model. We discuss the fundamental relation between these operators, the defect superconformal field theory and bulk physical quantities, such as the Bremsstrahlung function. This relation assigns a privileged role to BPS Wilson operators, which become the meeting point for three exact approaches: localization, integrability and conformal bootstrap.

Penati, S. (2021). Superconformal line defects in 3d. UNIVERSE, 7(9) [10.3390/universe7090348].

Superconformal line defects in 3d

Penati S.
Primo
Membro del Collaboration Group
2021

Abstract

We review the recent progress in the study of line defects in three-dimensional Chern– Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical defects, supporting a topological sector of the theory. After reviewing the construction of this sector, we concentrate on the evaluation of topological correlators from the partition function of the mass-deformed ABJM theory and provide evidence on the existence of topological quantum mechanics living on the line. In the second part, we consider the dynamical defects realized as latitude BPS Wilson loops for which an exact evaluation is available in terms of a latitude Matrix Model. We discuss the fundamental relation between these operators, the defect superconformal field theory and bulk physical quantities, such as the Bremsstrahlung function. This relation assigns a privileged role to BPS Wilson operators, which become the meeting point for three exact approaches: localization, integrability and conformal bootstrap.
Articolo in rivista - Review Essay
Chern–simons-matter theories; Topological operators; Wilson loops;
English
2021
7
9
348
open
Penati, S. (2021). Superconformal line defects in 3d. UNIVERSE, 7(9) [10.3390/universe7090348].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338351
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