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  • Letter
  • Open Access

Entropy of flat space cosmologies from celestial dual

Arindam Bhattacharjee1,2,* and Muktajyoti Saha3,†

  • 1Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Prayagraj–211019, India
  • 2Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, India
  • 3Indian Institute of Science Education and Research Bhopal, Bhopal Bypass, Bhauri, Bhopal 462066, India

  • *arindamb.hep@gmail.com
  • †muktajyoti17@iiserb.ac.in

Phys. Rev. D 109, L041902 – Published 22 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L041902

Abstract

We construct a one-dimensional dual theory that effectively describes the sector of the (2+1)D flat gravity phase space near a flat space cosmology saddle labeled by definite mass and angular momentum. This Schwarzian-type action describes the dynamics of the (pseudo-)Goldstone bosons of BMS3 algebra on a circle as the symmetry is spontaneously and anomalously broken. This 1D theory, living on the celestial circle, provides the first explicit construction of a celestial dual theory in (2+1)D. We use it to calculate the semiclassical entropy of flat space cosmologies and find perfect agreement with existing literature.

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