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Journal of High Energy Physics
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Interpolating Wilson loops and enriched RG flows

Authors: Luigi Castiglioni; Silvia Penati; Marcia Tenser; Diego Trancanelli;

Interpolating Wilson loops and enriched RG flows

Abstract

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.

Keywords

High Energy Physics - Theory, Chern-Simons Theories, Wilson, FOS: Physical sciences, QC770-798, 't Hooft and Polyakov loops, Perturbative methods of renormalization applied to problems in quantum field theory, Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Theory (hep-th), Chern-Simons Theories; Renormalization Group; Wilson; ’t Hooft and Polyakov loops;, Nuclear and particle physics. Atomic energy. Radioactivity, ’t Hooft and Polyakov loops, Renormalization Group, Chern-Simons theories, renormalization group, Chern-Simons Theories, Renormalization Group, Wilson, ’t Hooft and Polyakov loops

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
OpenAIRE UsageCountsViews provided by UsageCounts
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6
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