Spin chain for the deformed ABJM theory
Davide Forcella, Waldemar Schulgin

TL;DR
This paper explores the integrability of a deformed ABJM theory by constructing its two-loop dilatation operator and calculating anomalous dimensions of specific operators, advancing understanding of deformed Chern-Simons models.
Contribution
It introduces the two-loop dilatation operator for a deformed ABJM theory with unequal Chern-Simons levels and computes anomalous dimensions, providing new insights into its integrable structure.
Findings
Constructed the two-loop dilatation operator for the scalar sector.
Computed anomalous dimensions for selected operators.
Initiated analysis of deformed integrable Chern-Simons theories.
Abstract
In this short note we begin the analysis of deformed integrable Chern-Simons theories. We construct the two loop dilatation operator for the scalar sector of the ABJM theory with and we compute the anomalous dimension of some operators.
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