Null Reductions of M5-Branes

Abstract

We perform a general reduction of an M5-brane on a spacetime that admits a null Killing vector, including couplings to background 4-form fluxes and possible twisting of the normal bundle. We give the non-abelian extension of this action and present its supersymmetry transformations. The result is a class of supersymmetric non-lorentzian gauge theories in 4+1 dimensions, which depend on the geometry of the six-dimensional spacetime. These can be used for DLCQ constructions of M5-branes reduced on various manifolds.

arXiv comment21 pages; more typos corrected and additional comment in the introduction, to appear in JHEP (hopefully)

References in corpus (10)

• N=2 dualities
• Lifshitz holography
• Null Killing Vector Dimensional Reduction and Galilean Geometrodynamics
• (2,0) Lagrangian Structures
• Non-Lorentzian M5-brane Theories from Holography
• Geometrical Aspects of An Abelian (2,0) Action
• Matrix Description of (1,0) Theories in Six Dimensions
• Bosonic Symmetries of $(2,0)$ DLCQ Field Theories
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories

Cited by in corpus (8)

• Observations on BPS observables in 6d
• Null Dimensional Reduction of M2-Brane
• Double dimensional reduction of M5-brane action in Sen formalism
• Non-Lorentzian Avatars of (1,0) Theories
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Lightlike reduction of the M5 brane
• Dimensional reduction of M5 branes
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity