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The gauge dual of Romans mass. (English) Zbl 1269.81126

Summary: We deform the recently proposed holographic duality between the ABJM \( \mathcal{N} = 6 \) Chern-Simons-matter theory and type IIA string theory in \( {\text{AdS}}_4 \times {\mathbb{CP}^3} \). We add a non-zero Romans mass \(F _{0}\), whose dual we identify as the sum of the Chern-Simons levels for the two gauge groups. One can naturally identify four different theories, with different amounts of supersymmetry and of flavor symmetry.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
58J28 Eta-invariants, Chern-Simons invariants
81T60 Supersymmetric field theories in quantum mechanics
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