Flat Holography: Aspects of the dual field theory

Abstract

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review briefly some successes of the 3d bulk - 2d boundary case and then focus on the 4d bulk - 3d boundary example, where the symmetry in question is the infinite dimensional BMS4 algebra. We look at the constraints imposed by this symmetry on a 3d field theory by constructing highest weight representations of this algebra. We construct two and three point functions of BMS primary fields and surprisingly find that symmetries constrain these correlators to be identical to those of a 2d relativistic conformal field theory. We then go one dimension higher and construct prototypical examples of 4d field theories which are putative duals of 5d Minkowski spacetimes. These field theories are ultra-relativistic limits of electrodynamics and Yang-Mills theories which exhibit invariance under the conformal Carroll group in D=4. We explore the different sectors within these Carrollian gauge theories and investigate the symmetries of the equations of motion to find that an infinite ultra-relativistic conformal structure arises in each case.

45 pages

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Cited by in corpus (18)

• Field Theories with Conformal Carrollian Symmetry
• Magnetic Carrollian gravity from the Carroll algebra
• The nuts and bolts of the BMS Bootstrap
• AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• BMS4 Algebra, Its Stability and Deformations
• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Semi-classical BMS-blocks from the Oscillator Construction
• Galilean Electrodynamics: Covariant formulation and Lagrangian
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• QCD, with Strings Attached
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
• Carrollian superconformal theories and super BMS
• The gauging procedure and carrollian gravity