More on boundary conditions for warped AdS $$_3$$ 3 in GMG

Seyed Sajadi (Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran) ; Ali Hajilou (School of Particles and Accelerators, Institute for Research in Fundamental Science (IPM), Tehran, Iran)

In this paper, we study the Aggarwal, Ciambelli, Detournay, and Somerhausen (ACDS) boundary conditions (Aggarwal et al. in JHEP 22:013, 2020) for Warped AdS $$_3$$ 3 (WAdS $$_3$$ 3 ) in the framework of General Massive Gravity (GMG) in the quadratic ensemble. We construct the phase space, the asymptotic structure, and the asymptotic symmetry algebra. We show that the global surface charges are finite, but not integrable, and also we find the conditions to make them integrable. In addition, to confirm that the phase space has the same symmetries as that of a Warped Conformal Field Theory (WCFT), we compare the bulk entropy of Warped BTZ (WBTZ) black holes with the number of states belonging to a WCFT.

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      "value": "In this paper, we study the Aggarwal, Ciambelli, Detournay, and Somerhausen (ACDS) boundary conditions (Aggarwal et al. in JHEP 22:013, 2020) for Warped AdS $$_3$$  <math> <msub> <mrow></mrow> <mn>3</mn> </msub> </math>   (WAdS $$_3$$  <math> <msub> <mrow></mrow> <mn>3</mn> </msub> </math>  ) in the framework of General Massive Gravity (GMG) in the quadratic ensemble. We construct the phase space, the asymptotic structure, and the asymptotic symmetry algebra. We show that the global surface charges are finite, but not integrable, and also we find the conditions to make them integrable. In addition, to confirm that the phase space has the same symmetries as that of a Warped Conformal Field Theory (WCFT), we compare the bulk entropy of Warped BTZ (WBTZ) black holes with the number of states belonging to a WCFT."
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Published on:
01 October 2022
Publisher:
Springer
Published in:
European Physical Journal C , Volume 82 (2022)
Issue 10
Pages 1-12
DOI:
https://doi.org/10.1140/epjc/s10052-022-10732-z
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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