571 citations · 3.9k across the 120 of their papers we have counts for
111 papers · 1 filter
Massive and massless particles in Mielke--Baekler geometries
Carles Batlle, Roberto Casalbuoni, Daniele Dominici +2
The Mielke--Baekler geometries are three-dimensional reductive homogeneous spacetimes together with a choice of invariant connection which is compatible with a lorentzian metric. T…
The spectrum of the bosonic ambitwistor string revisited
José M. Figueroa-O'Farrill, Girish S. Vishwa
We revisit the calculation of the spectrum of the bosonic ambitwistor string, understood as the BRST cohomology or, equivalently, as the semi-infinite cohomology of the $\mathrm{BM…
Quantum carrollian bosonic strings
José Figueroa-O'Farrill, Emil Have, Niels A. Obers
We study a recently discovered carrollian bosonic string, described classically by a sigma model where both the worldsheet and the target spacetime are carrollian. After fixing the…
Planons and their Carroll-Galilei symmetries
José Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez +1
We study the dynamics of planons, particles whose mobility is restricted to a plane, through the classification of coadjoint orbits and unitary irreducible representations of the c…
A Celestial Kinematical Interpretation for an Extended BMS
Carles Batlle, Roberto Casalbuoni, Daniele Dominici +2
Motivated by the work of Longhi and Materassi, who constructed a realisation of the (centreless) BMS algebra for the massive Klein-Gordon field in , we build a realisation…
Non-relativistic quantum strings from gauged WZW models
José M Figueroa-O'Farrill, Girish S Vishwa
We construct non-relativistic quantum strings from gauged Wess--Zumino--Witten (WZW) models. We depart from the fact that Lie groups with a bi-invariant galilean structure can be s…
BMS-like algebras: canonical realisations and BRST quantisation
Carlos Batlle, José Figueroa-O'Farrill, Joaquim Gomis +1
We generalise BMS algebras in three dimensions by the introduction of an arbitrary real parameter , recovering the standard algebras (BMS, extended BMS and Weyl-BMS) for .…
The BRST quantisation of chiral BMS-like field theories
José Figueroa-O'Farrill, Girish S Vishwa
The BMS Lie algebra belongs to a one-parameter family of Lie algebras obtained by centrally extending abelian extensions of the Witt algebra by a tensor density representation.…
Galilei particles revisited
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez +1
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective represent…
-brane Galilean and Carrollian Geometries and Gravities
Eric Bergshoeff, José Figueroa-O'Farrill, Kevin van Helden +3
We study -dimensional -brane Galilean geometries via the intrinsic torsion of their adapted connections. These non-Lorentzian geometries are examples of -structures whose…
Quantum Carroll/fracton particles
José Figueroa-O'Farrill, Alfredo Pérez, Stefan Prohazka
We classify and relate unitary irreducible representations (UIRs) of the Carroll and dipole groups, i.e., we define elementary quantum Carroll and fracton particles and establish a…
Carroll/fracton particles and their correspondence
José Figueroa-O'Farrill, Alfredo Pérez, Stefan Prohazka
We exploit the close relationship between the Carroll and fracton/dipole algebras, together with the method of coadjoint orbits, to define and classify classical Carroll and fracto…
Particle dynamics on torsional galilean spacetimes
José Figueroa-O'Farrill, Can Görmez, Dieter Van den Bleeken
We study free particle motion on homogeneous kinematical spacetimes of galilean type. The three well-known cases of Galilei and (A)dS--Galilei spacetimes are included in our analys…
From pp-Waves to Galilean Spacetimes
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
We exhibit all spatially isotropic homogeneous Galilean spacetimes of dimension , including the novel torsional ones, as null reductions of homogeneous pp-wave spacet…
Kaluza-Klein reductions of maximally supersymmetric five-dimensional lorentzian spacetimes
José Figueroa-O'Farrill, Guido Franchetti
A recent study of filtered deformations of (graded subalgebras of) the minimal five-dimensional Poincaré superalgebra resulted in two classes of maximally supersymmetric spacetimes…
The gauging procedure and carrollian gravity
José Figueroa-O'Farrill, Emil Have, Stefan Prohazka +1
We discuss a gauging procedure that allows us to construct lagrangians that dictate the dynamics of an underlying Cartan geometry. In a sense to be made precise in the paper, the s…
Lifshitz symmetry: Lie algebras, spacetimes and particles
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits ("particles") of Lie groups generated by spatial rotations, temporal and spatial translations and an…
Carrollian and celestial spaces at infinity
José Figueroa-O'Farrill, Emil Have, Stefan Prohazka +1
We show that the geometry of the asymptotic infinities of Minkowski spacetime (in dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial…
Killing superalgebras for lorentzian five-manifolds
Andrew Beckett, José Figueroa-O'Farrill
We calculate the relevant Spencer cohomology of the minimal Poincaré superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on the spinor bund…
On the intrinsic torsion of spacetime structures
José Figueroa-O'Farrill
We briefly review the notion of the intrinsic torsion of a -structure and then go on to classify the intrinsic torsion of the -structures associated with spacetimes: namely,…
Kinematical superspaces
José Figueroa-O'Farrill, Ross Grassie
We classify kinematical and aristotelian Lie superalgebras with spatial isotropy, but not necessarily parity nor time-reversal invariance. Employing a quaternionic fo…
Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
Simply-connected homogeneous spacetimes for kinematical and aristotelian Lie algebras (with space isotropy) have recently been classified in all dimensions. In this paper, we conti…
Conformal Lie algebras via deformation theory
José M. Figueroa-O'Farrill
We discuss possible notions of conformal Lie algebras, paying particular attention to graded conformal Lie algebras with -dimensional space isotropy: namely, those with a $\math…
Spatially isotropic homogeneous spacetimes
José Figueroa-O'Farrill, Stefan Prohazka
We classify simply-connected homogeneous ()-dimensional spacetimes for kinematical and aristotelian Lie groups with -dimensional space isotropy for all . Besides w…