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SUMMARY:A Particle with Torsion in Mielke--Baekler Spacetimes. Teleparalle
 l ideas in 2+1 dimensions at work.
DTSTART:20260506T123000Z
DTEND:20260506T133000Z
DTSTAMP:20260506T174600Z
UID:indico-event-52240@agenda.infn.it
DESCRIPTION:Speakers: Joaquim Gomis\n\n\nAbstract:\n\nThe Mielke--Baekler 
 spacetimes are three-dimensional  reductive homogeneous spaces together w
 ith a choice of invariant  connection which is compatible with a lorentzi
 an metric.  The  spacetimes generalise Minkowski and (anti)de~Sitter spa
 cetimes in  that the invariant metric connection can have torsion\, a pec
 uliarity  of three dimensions.  Using the techniques of nonlinear  real
 isations\, we construct worldline actions for massive spinning  particles
  moving in these spacetimes. We pay particular attention to  the so-calle
 d teleparallel branch\, in which the curvature vanishes.  We show in this
  case that the  spinning particle trajectories are geodesic relative to a
   Weitzenböck connection or\, equivalently\, as a Papapetrou-type  equa
 tion with a spin-curvature force in the Levi-Civita  description.   We a
 lso present the canonical action and discuss the  resulting physical degr
 ees of freedom.  We then take the carrollian  limit of these geometries 
 and introduce the carrollian analogues of  the Mielke--Baekler spacetimes
  and repeat the analysis in that  case. \n\nhttps://agenda.infn.it/event
 /52240/
URL:https://agenda.infn.it/event/52240/
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