Per Sundell
YOU?
Author Swipe
View article: Unfolding the Six-Dimensional Tensor Multiplet
Unfolding the Six-Dimensional Tensor Multiplet Open
We derive a manifestly superconformally covariant unfolded formulation of the free (2,0) tensor multiplet in six spacetime dimensions. The unfolded system consists of an abelian two-form and an infinite-dimensional chiral zero-form contain…
View article: Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual
Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual Open
A bstract This paper completes the analysis initiated in the companion work arXiv:2403.02283 — referred to as Paper I — by showing how Vasiliev’s 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal hig…
View article: Fractional spins, unfolding, and holography. Part I. Parent field equations for dual higher-spin gravity reductions
Fractional spins, unfolding, and holography. Part I. Parent field equations for dual higher-spin gravity reductions Open
A bstract In this work and in the companion paper arXiv:2403.02301, we initiate an approach to holography based on the AKSZ formalism. As the first step, we refine Vasiliev’s holography proposal in arXiv:1203.5554 by obtaining 4D higher-sp…
View article: Fractional Spins, Unfolding, and Holography: II. 4D Higher Spin Gravity and 3D Conformal Dual
Fractional Spins, Unfolding, and Holography: II. 4D Higher Spin Gravity and 3D Conformal Dual Open
This paper completes the analysis initiated in the companion work arXiv:2403.02283 -- referred to as Paper I -- by showing how Vasiliev's 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin…
View article: Fractional Spins, Unfolding, and Holography: I. Parent field equations for dual higher-spin gravity reductions
Fractional Spins, Unfolding, and Holography: I. Parent field equations for dual higher-spin gravity reductions Open
In this work and in the companion paper arXiv:2403.02301, we initiate an approach to holography based on the AKSZ formalism. As the first step, we refine Vasiliev's holography proposal in arXiv:1203.5554 by obtaining 4D higher-spin gravity…
View article: Unfolding, higher spins, metaplectic groups and resolution of classical singularities
Unfolding, higher spins, metaplectic groups and resolution of classical singularities Open
We review and extend some recent results concerning the analysis of spacetime singularities in four-dimensional higher spin gravity, summarizing how the coupling of the gravitational field to massless higher spins may provide resolution me…
View article: Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime Open
It has been argued that the entropy of de Sitter space corresponds to the entanglement between disconnected regions computable by switching on a replica parameter $q$ modeled by the quotient dS$/\mathbb{Z}_q$. Within this framework, we sho…
View article: Unfolding, higher spins, metaplectic groups and resolution of classical singularities
Unfolding, higher spins, metaplectic groups and resolution of classical singularities Open
We review and extend some recent results concerning the analysis of spacetime singularities in four-dimensional higher spin gravity, summarizing how the coupling of the gravitational field to massless higher spins may provide resolution me…
View article: Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity Open
We investigate the formulation of Vasiliev's four-dimensional higher-spin gravity in operator form, without making reference to one specific ordering. More precisely, we make use of the one-to-one mapping between operators and symbols ther…
View article: Liouville description of conical defects in dS4, Gibbons-Hawking entropy as modular entropy, and dS3 holography
Liouville description of conical defects in dS4, Gibbons-Hawking entropy as modular entropy, and dS3 holography Open
A bstract We model the back-reaction of a static observer in four-dimensional de Sitter spacetime by means of a singular ℤ q quotient. The set of fixed points of the ℤ q action consists of a pair of codimension two minimal surfaces given b…
View article: Bosonic higher spin gravity in any dimension with dynamical two-form
Bosonic higher spin gravity in any dimension with dynamical two-form Open
A bstract We alter Vasiliev’s original bosonic higher spin gravity in any dimension beyond the linearized level by factoring out a modified sp (2) gauge algebra. The new model can be embedded together with a dynamical two-form and an extra…
View article: Gibbons–Hawking entropy as entanglement entropy
Gibbons–Hawking entropy as entanglement entropy Open
We consider a deformed version of four-dimensional de Sitter spacetime. The setup consist of two (antipodal) disconnected Rindler observers, each one with an S4 topology. We show that the two observers have an entanglement entropy, in the …
View article: Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields
Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields Open
In this note, we review the results of 1705.03928 on a special class of observables of Vasiliev’s four-dimensional higher spin gravity theory, referred to as zero-form charges. These objects were shown to be twisted open Wilson lines in th…
View article: On Exact Solutions and Perturbative Schemes in Higher Spin Theory
On Exact Solutions and Perturbative Schemes in Higher Spin Theory Open
We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev’s equations. These include instanton-like and black hole-like solutions in (A)dS …
View article: On Exact Solutions and Perturbative Schemes in Higher Spin Theory
On Exact Solutions and Perturbative Schemes in Higher Spin Theory Open
We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev’s equations. These include instanton-like and black hole-like solutions in (A)dS …
View article: Bosonic Higher Spin Gravity in any Dimension with Dynamical Two-Form
Bosonic Higher Spin Gravity in any Dimension with Dynamical Two-Form Open
We first propose an alternative to Vasiliev's bosonic higher spin gravities in any dimension by factoring out a modified sp(2) gauge algebra. We evidence perturbative equivalence of the two models, which have the same spectrum of Fronsdal …
View article: Erratum to: “A higher-spin Chern–Simons theory of anyons”
Erratum to: “A higher-spin Chern–Simons theory of anyons” Open
In the published version there is an error in the affiliation (the word "Andre's" with accent) of the author Per Sundell. The present form in this erratum is the correct (should be the word "Andres" without accent). The affiliation under t…
View article: Action Principles for Higher and Fractional Spin Gravities
Action Principles for Higher and Fractional Spin Gravities Open
We review various off-shell formulations for interacting higher-spin systems\nin dimensions 3 and 4. Associated with higher-spin systems in spacetime\ndimension 4 is a Chern-Simons action for a superconnection taking its values in\na direc…
View article: Differential Poisson Sigma Models with Extended Supersymmetry
Differential Poisson Sigma Models with Extended Supersymmetry Open
The induced two-dimensional topological N=1 supersymmetric sigma model on a differential Poisson manifold M presented in arXiv:1503.05625 is shown to be a special case of the induced Poisson sigma model on the bi-graded supermanifold T[0,1…
View article: Erratum to: “A higher-spin Chern–Simons theory of anyons”
Erratum to: “A higher-spin Chern–Simons theory of anyons” Open
In the published version there is an error in the affiliation (the word “Andre’s” with accent) of the author Per Sundell. The present form in this erratum is the correct (should be the word “Andres” without accent). The affiliation under t…