Max Riegler
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View article: Soft gravitons in three dimensions
Soft gravitons in three dimensions Open
A bstract We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degree…
View article: Soft gravitons in three dimensions
Soft gravitons in three dimensions Open
We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degrees of freed…
View article: BMS modular covariance and structure constants
BMS modular covariance and structure constants Open
A bstract Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these f…
View article: Carrollian c-functions and flat space holographic RG flows in BMS3/CCFT2
Carrollian c-functions and flat space holographic RG flows in BMS3/CCFT2 Open
We discuss c-functions and their holographic counterpart for two-dimensional field theories with Carrollian conformal fixed points in the UV and the IR. Specifically, we construct asymptotically flat domain wall solutions of three-dimensio…
View article: BMS modular covariance and structure constants
BMS modular covariance and structure constants Open
Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these field theor…
View article: BMS Field Theories with $\mathfrak{u}(1)$ Symmetry
BMS Field Theories with $\mathfrak{u}(1)$ Symmetry Open
We investigate quantum field theories in two dimensions (2d) with an underlying Bondi-van der Burgh-Metzner-Sachs (BMS) symmetry augmented by $\mathfrak{u}(1)$ currents. These field theories are expected to holographically capture features…
View article: BMS Field Theories with $\mathfrak{u}(1)$ Symmetry
BMS Field Theories with $\mathfrak{u}(1)$ Symmetry Open
We investigate quantum field theories in two dimensions (2d) with an underlying Bondi-van der Burgh-Metzner-Sachs (BMS) symmetry augmented by $\mathfrak{u}(1)$ currents. These field theories are expected to holographically capture features…
View article: Non-Lorentzian chaos and cosmological holography
Non-Lorentzian chaos and cosmological holography Open
We study chaos in non-Lorentzian field theories, specifically Galilean and Carrollian conformal field theories in two dimensions. In a large central charge limit, we find that the Lyapunov exponent saturates the bound on chaos, conjectured…
View article: Scalar Fields, Higher-Spins and a Novel Associative Algebra in 3D Flat Space
Scalar Fields, Higher-Spins and a Novel Associative Algebra in 3D Flat Space Open
In this work we construct a novel associative algebra and use it to define a theory of higher-spin gravity in (2+1)-dimensional asymptotically flat spacetimes. Our construction is based on a quotient of the universal enveloping algebra (UE…
View article: Uniformization of Entanglement Entropy in Holographic Warped Conformal Field Theories
Uniformization of Entanglement Entropy in Holographic Warped Conformal Field Theories Open
Using a uniformization map we determine the holographic entanglement entropy for states of a Warped Conformal Field Theory dual to a generic vacuum metric in AdS$_3$ gravity with Compère--Song--Strominger boundary conditions. We point out …
View article: Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories
Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories Open
We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant. We focus on field theories in two dimensions with infinite-dimensional symmetries, like the ones governed by the Bond…
View article: Invariance of Unruh and Hawking radiation under matter-induced supertranslations
Invariance of Unruh and Hawking radiation under matter-induced supertranslations Open
A bstract Matter fields are supertranslated upon crossing a shock wave, which leads to entanglement of the quantum vacuum between the two regions on either side of the shock wave. We probe this entanglement for a scalar field in a planar s…
View article: Warped black holes in lower-spin gravity
Warped black holes in lower-spin gravity Open
We provide a simple holographic description for a warped conformal field theory (WCFT) at finite temperature. To this end we study the counterpart of warped anti-de Sitter black holes in three dimensions using a lower-spin $\mathfrak{sl}(2…
View article: Canonical charges in flatland
Canonical charges in flatland Open
In this series of lectures we give an introduction to the concept of asymptotic symmetry analysis with a focus on asymptotically flat spacetimes in 2+1 dimensions. We explain general ideas of quantizing gauge theories and then apply these …
View article: Higher Spins without (Anti-)de Sitter
Higher Spins without (Anti-)de Sitter Open
Can the holographic principle be extended beyond the well-known AdS/CFT correspondence? During the last couple of years, there has been a substantial amount of research trying to find answers for this question. In this work, we provide a r…
View article: Higher Spins without (Anti-)de Sitter
Higher Spins without (Anti-)de Sitter Open
Can the holographic principle be extended beyond the well-known AdS/CFT correspondence? During the last couple of years, there has been a substantial amount of research trying to find answers for this question. In this work, we provide a r…
View article: Most general flat space boundary conditions in three-dimensional Einstein gravity
Most general flat space boundary conditions in three-dimensional Einstein gravity Open
We consider the most general asymptotically flat boundary conditions in three-dimensional Einstein gravity in the sense that we allow for the maximal number of independent free functions in the metric, leading to six towers of boundary cha…
View article: How General Is Holography?
How General Is Holography? Open
In this thesis I explore the generality of the holographic principle in 2+1 (bulk) dimensions by looking at the possibility of having holographic correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on Lobachevsky s…
View article: Rotating higher spin partition functions and extended BMS symmetries
Rotating higher spin partition functions and extended BMS symmetries Open
We evaluate one-loop partition functions of higher-spin fields in thermal\nflat space with angular potentials; this computation is performed in arbitrary\nspace-time dimension, and the result is a simple combination of Poincar\\'e\ncharact…
View article: Wilson lines and holographic entanglement entropy in Galilean conformal field theories
Wilson lines and holographic entanglement entropy in Galilean conformal field theories Open
In this paper we will present in more detail a construction using Wilson\nlines and the corresponding dual Galilean conformal field theory calculations\nfor analytically determining holographic entanglement entropy for flat space in\n$2+1$…
View article: Entanglement Entropy in Galilean Conformal Field Theories and Flat Holography
Entanglement Entropy in Galilean Conformal Field Theories and Flat Holography Open
We present the analytical calculation of entanglement entropy for a class of two-dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These fie…
View article: Flat space limit of higher-spin Cardy formula
Flat space limit of higher-spin Cardy formula Open
In this note I derive the flat space limit of the modified Cardy formula\nassociated with inner horizons and show that it reproduces the correct Galilean\nconformal field theory counting of flat space cosmology microstates. l also\ndetermi…