Non-Lorentzian M5-brane Theories from Holography

Abstract

M-theory on $Ad{S}_7\times S^4$ admits a description where the $Ad{S}_7$ factor is constructed as a timelike Hopf fibration over a non-compact three dimensional complex projective space ${\widetilde{\mathbb{CP}}}^3$. We consider the worldvolume theory for M5-branes at a fixed ${\widetilde{\mathbb{CP}}}^3$ radius which, after reduction along the timelike fibre, is given by an $\Omega$-deformed Yang-Mills theory with eight supercharges. Taking the radius to infinity then induces a classical RG flow. We construct the fixed point action which has an enhanced 24 supercharges and which can be understood as the $(2,0)$ theory of M5-branes on flat space reduced along a compact null Killing direction.

arXiv comment21 pages, typos corrected, references added

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Cited by in corpus (17)

• String Theory and String Newton-Cartan Geometry
• Non-Relativistic Ten-Dimensional Minimal Supergravity
• Aspects of Non-Relativistic Quantum Field Theories
• Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
• Bosonic Symmetries of $(2,0)$ DLCQ Field Theories
• Null Reductions of M5-Branes
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Non-Lorentzian Avatars of (1,0) Theories
• Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Lightlike reduction of the M5 brane
• Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory
• RG Flows and Symmetry Enhancement in Five-Dimensional Lifshitz Gauge Theories
• Dimensional reduction of M5 branes
• Yangian Symmetry in Five Dimensions
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity