Dynamics of Carroll Particles

We investigate particles whose dynamics is invariant under the Carroll group. Although a single free such Carroll particle has no non-trivial dynamics (`the Carroll particle does not move') we show that there exists non-trivial dynamics for a set of interacting Carroll particles. Furthermore, we gauge the Carroll algebra and couple the Carroll particle to these gauge fields. It turns out that for such a coupled system even a single Carroll particle can have non-trivial dynamics.Comment: 22 pages, reference adde

Dynamics of Carroll Strings

We construct the canonical action of a Carroll string doing the Carroll limit of a canonical relativistic string. We also study the Killing symmetries of the Carroll string, which close under an infinite dimensional algebra. The tensionless limit and the Carroll $p$-brane action are also discussed.Comment: Footnote and references adde

Volume 10, Number 4 – January 1930

Volume 10, Number 4 – January 1930. 38pages including covers and advertisements. Hickey, Carroll, Epiphany Lilly, Daniel M., Soldier of Fortune Meister, Joseph, Flight Hickey, Carroll, On Millet\u27s Painting, \u27The Angelus\u27 Gorman, John P., Alumni Notes Daniels, Ralph S., Editorial Hickey, Carroll, Exchange Quirk, Charles C., Chronicle Carlson, Edward, Guzman Hall Krieger, John E., Athletic

Noël Carroll : eine Bibliographie

Das Werk des Philosophen und Filmtheoretikers Noël Carroll ist außerordentlich vielgestaltig, über mehrere Disziplinen verstreut, umfaßt allgemeine Arbeiten zur ästhetischen Theorie (auf diesem Gebiet ist Carroll vor allem in den letzten Jahren aktiv gewesen) ebenso wie Arbeiten zur Filmtheorie, zur formalistischen Beschreibung des Films, zu Affektstrukturen in verschiedenen Genres, zum postmodernen Kino. Carroll war an zahlreichen Disputen mit anderen Philosophen beteiligt (die ich hier soweit möglich mitdokumentiert habe, denen ich aber keine eigene Aufmerksamkeit habe zukommen lassen). Und es finden sich - zur Überraschung auch solcher Leser, die Carrolls Arbeit seit Jahren verfolgen - Arbeiten zum Tanz und zur Tanztheorie. Inhalt: Bücher Herausgeberschaften Artikel Rezensionen Artikel zu Carroll, Unklassifizierbare

The Symmetries of the Carroll Superparticle

Motivated by recent applications of Carroll symmetries we investigate the geometry of flat and curved (AdS) Carroll space and the symmetries of a particle moving in such a space both in the bosonic as well as in the supersymmetric case. In the bosonic case we find that the Carroll particle possesses an infinite-dimensional symmetry which only in the flat case includes dilatations. The duality between the Bargmann and Carroll algebra, relevant for the flat case, does not extend to the curved case. In the supersymmetric case we study the dynamics of the N=1 AdS Carroll superparticle. Only in the flat limit we find that the action is invariant under an infinite-dimensional symmetry that includes a supersymmetric extension of the Lifshitz Carroll algebra with dynamical exponent z=0. We also discuss in the flat case the extension to N=2 supersymmetry and show that the flat N=2 superparticle is equivalent to the (non-moving) N=1 superparticle and that therefore it is not BPS unlike its Galilei counterpart. This is due to the fact that in this case kappa-symmetry eliminates the linearized supersymmetry. In an appendix we discuss the N=2 curved case in three dimensions only and show that there are two N=2 theories that are physically different.Comment: 35 pages; v

Volume 9, Number 2 – November 1928

Volume 9, Number 2 – November 1928. 38pages without covers and with limited advertisements. Hickey, Carroll, John Bannister Tabb (Verse) Carlson, Edward E., The Song of Judgment Hickey, Carroll, Barometer (Verse) Dugan, Thomas A., It May Be So Quirk, Charles C., College Men as Tradesmen Hickey, Carroll, Chopin\u27s Scherzi (Verse) Keough, John F., Book Review Hanley, John C., Something to Say Curley, Thomas J., In Memoriam (Cornelius J. Broady) Curley, Thomas J., Editorial McClellan, George B. & Earnshaw, George P., Alumni Aylward, Ambrose V., Exchange Greene, Francis E., Chronicle Krieger, John, Athletic

Conformal Carroll groups and BMS symmetry

The Bondi-Metzner-Sachs (BMS) group is shown to be the conformal extension of Levy-Leblond's "Carroll" group. Further extension to the Newman-Unti (NU) group is also discussed in the Carroll framework.Comment: 10 pages, no figure. Fast Track COmmunication, to appear in Class. Quant. Gra

Conformal Carroll groups

Conformal extensions of Levy-Leblond's Carroll group, based on geometric properties analogous to those of Newton-Cartan space-time are proposed. The extensions are labelled by an integer $k$. This framework includes and extends our recent study of the Bondi-Metzner-Sachs (BMS) and Newman-Unti (NU) groups. The relation to Conformal Galilei groups is clarified. Conformal Carroll symmetry is illustrated by "Carrollian photons". Motion both in the Newton-Cartan and Carroll spaces may be related to that of strings in the Bargmann space.Comment: 31 pages, no figures. Minor misprints corrected and clarifications added. To be published in J. Phys.

Volume 10, Number 6 – March 1930

Volume 10, Number 6 – March 1930. 42 pages including covers and advertisements. Lillie, Edward C., On the Prairie Hickey, Carroll, Little Galahads (verse) Carlson, Edward C., Zeb, the Aesthete Schneider, Francis C., His Brother\u27s Inspiration LaCroix, John, Prelude Vernal (verse) Daniels, Ralph S., Editorials Quirk, Charles C., Chronicle Hickey, Carroll, Exchange Krieger, John E., Athletic