Entanglement entropy in Galilean conformal field theories and flat holography

Oct 15, 2014
6 pages
Published in:
  • Phys.Rev.Lett. 114 (2015) 11, 111602
  • Published: Mar 19, 2015
e-Print:
Report number:
  • TUW-14-14

Citations per year

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Abstract: (APS)
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 field theories are the putative holographic duals to theories of gravity in three-dimensional asymptotically flat spacetimes. We provide a check of our field theory answers by an analysis of geodesics. We also exploit the Chern-Simons formulation of three-dimensional gravity and adapt recent proposals of calculating entanglement entropy by Wilson lines in this context to find an independent confirmation of our results from holography.
Note:
  • 6pp
  • 11.25.Tq
  • 03.65.Ud
  • 11.15.Yc
  • 11.25.Hf
  • entropy: entanglement
  • dimension: 2
  • field theory: conformal
  • duality: holography
  • algebra: conformal
  • symmetry: Galilei