F-maximization along the RG flows: a proposal

Abstract

We propose an extension of the F-maximization principle to take into account the effects of non-superconformality. Guided by a four-dimensional analog, we formulate a modification of the free energy via the Lagrange multiplier technique. We conjecture that the Lagrange multiplier plays the same role as the coupling constant, at least at weak coupling. We check our proposal in many examples with unitary, symplectic and orthogonal gauge groups.

19 pages, using jheppub.sty, references added, final version published on JHEP

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Cited by in corpus (16)

• On the RG running of the entanglement entropy of a circle
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Supersymmetry on Curved Spaces and Holography
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Operator Counting and Eigenvalue Distributions for 3D Supersymmetric Gauge Theories
• Comments on a-maximization from gauged supergravity
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Refined Checks and Exact Dualities in Three Dimensions
• Mutual information and the F-theorem
• Z Extremization in Chiral-Like Chern Simons Theories
• Operator Counting for N=2 Chern-Simons Gauge Theories with Chiral-like Matter Fields
• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• Holographic Duality for three-dimensional Super-conformal Field Theories