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F-maximization along the RG flows: a proposal. (English) Zbl 1306.81068

Summary: 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.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81T17 Renormalization group methods applied to problems in quantum field theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
20G45 Applications of linear algebraic groups to the sciences
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