<p>We investigate stationary, non-axisymmetric black hole solutions in AdS<sub>3</sub> gravity, known as black flower geometries, in the Chern-Simons formulation. Boundary conditions are specified by a collective field theory-inspired Hamiltonian with field-dependent chemical potentials and angularly inhomogeneous boundary data. We construct a tractable class of solutions and analyze their geometric and thermodynamic properties, obtaining an entropy with nontrivial dependence on the angular deformation. Upon quantization of the boundary theory via bosonization, the boundary degrees of freedom are mapped to relativistic free fermions. We explicitly construct and count the microstates associated with a given black flower geometry and find exact agreement with the Bekenstein-Hawking entropy.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Black flower microstates

  • Suvankar Dutta,
  • Shruti Menon

摘要

We investigate stationary, non-axisymmetric black hole solutions in AdS3 gravity, known as black flower geometries, in the Chern-Simons formulation. Boundary conditions are specified by a collective field theory-inspired Hamiltonian with field-dependent chemical potentials and angularly inhomogeneous boundary data. We construct a tractable class of solutions and analyze their geometric and thermodynamic properties, obtaining an entropy with nontrivial dependence on the angular deformation. Upon quantization of the boundary theory via bosonization, the boundary degrees of freedom are mapped to relativistic free fermions. We explicitly construct and count the microstates associated with a given black flower geometry and find exact agreement with the Bekenstein-Hawking entropy.