2008/06/30 by Rabin Banerjee, Sunandan Gangopadhyay, Shailesh Kulkarni
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Diffeomorphism #Geometry #Homogeneous space #Horizon #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1209/0295-5075/89/11003
published as Europhys.Lett.89:11003,2010 · Accepted in Euro. Phys. Letters., Title changed, abstract modified, major modifications made in the paper
arxiv created 2009/12/15 · openalex publication_date 2010/01/01 · arxiv updated 2010/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The interplay between the diffeomorphism and conformal symmetries (a feature common in quantum field theories) is shown to be exhibited for the case of black holes in two-dimensional classical Liouville theory. We show that although the theory is conformally invariant in the near-horizon limit, there is a breaking of the diffeomorphism symmetry at the classical level. On the other hand, in the region away from the horizon, the conformal symmetry of the theory gets broken with the diffeomorphism symmetry remaining intact.