We study new 1/24 BPS circular Wilson loops in ABJ(M) theory, which are defined in terms of several parameters that continuously interpolate between previously known 1/6 BPS loops (both bosonic and fermionic) and 1/2 BPS fermionic loops. We compute the expectation value of these operators up to second order in perturbation theory using a one-dimensional effective field theory approach. Within dimensional regularization, we find non-trivial β-functions for the parameters, which are marginally relevant deformations triggering RG flows from a UV fixed point represented by the 1/6 BPS bosonic loop to an IR fixed point represented by a 1/2 BPS fermionic loop. Generically, along all flows at least one supercharge of the theory is preserved, so that we refer to them as enriched RG flows. In particular, fixed points are connected through 1/6 BPS fermionic operators. This holds at framing zero, which is a consequence of the regularization scheme employed. We also establish the validity of the g-theorem, relating the expectation values of the Wilson loops corresponding to the UV and IR fixed points of the flow, and discuss the one-dimensional defect SCFT living on the Wilson loop contour.

Castiglioni, L., Penati, S., Tenser, M., Trancanelli, D. (2023). Interpolating Wilson loops and enriched RG flows. JOURNAL OF HIGH ENERGY PHYSICS, 2023(8) [10.1007/JHEP08(2023)106].

Interpolating Wilson loops and enriched RG flows

Penati S.;
2023

Abstract

We study new 1/24 BPS circular Wilson loops in ABJ(M) theory, which are defined in terms of several parameters that continuously interpolate between previously known 1/6 BPS loops (both bosonic and fermionic) and 1/2 BPS fermionic loops. We compute the expectation value of these operators up to second order in perturbation theory using a one-dimensional effective field theory approach. Within dimensional regularization, we find non-trivial β-functions for the parameters, which are marginally relevant deformations triggering RG flows from a UV fixed point represented by the 1/6 BPS bosonic loop to an IR fixed point represented by a 1/2 BPS fermionic loop. Generically, along all flows at least one supercharge of the theory is preserved, so that we refer to them as enriched RG flows. In particular, fixed points are connected through 1/6 BPS fermionic operators. This holds at framing zero, which is a consequence of the regularization scheme employed. We also establish the validity of the g-theorem, relating the expectation values of the Wilson loops corresponding to the UV and IR fixed points of the flow, and discuss the one-dimensional defect SCFT living on the Wilson loop contour.
Articolo in rivista - Articolo scientifico
Chern-Simons Theories; Renormalization Group; Wilson; ’t Hooft and Polyakov loops;
English
18-ago-2023
2023
2023
8
106
open
Castiglioni, L., Penati, S., Tenser, M., Trancanelli, D. (2023). Interpolating Wilson loops and enriched RG flows. JOURNAL OF HIGH ENERGY PHYSICS, 2023(8) [10.1007/JHEP08(2023)106].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/468579
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