Flat holography: aspects of the dual field theory

By Arjun Bagchi, R. Basu, Ashish Kakkar, Aditya Mehra. 2016

219 citations recorded by the source corpus.

A bstractAssuming 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3a28e3e8b558cd00f4be02d0d696d2f28d2950a5

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Citations in the corpus

Bridging Carrollian and celestial holography (2022, background): “29) for the global conformal Carrollian subalgebra [180,181] can be split as follows: first, one easily checks that B1, B2 P0 and K0 form an abelian subalgebra [BA, BB ] = 0, [BA, P0] = [BA,K0] = 0, [K0, P0] = 0.”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, background): “Of course, this Green’s function seems quite special since it does not depend on τ at all, but in other applications to flat space holography [142,143], H3 Green’s functions (or bulk-to-boundary propagators) for fields of any conformal weight can arise and are accompanied by τ -dependence in the ful”
Flat holography and Carrollian fluids (2018, background): “It has attracted attention in the framework of flat holography, mostly from the algebraic side [79, 80], or in relation with its dual geometry emerging in the Galilean limit, known as Newton–Cartan (see [81]).”
Carroll versus Galilei gravity (2017, unknown): “When restricted to flat space-time, the Carroll-Maxwell action corresponds to the action of ‘Carrollian electromagnetism of the electric type’, considered in [29] and more recently in [30] in the context of flat space holography.”