Compact Chiral Boson Fields on the Horizon of BTZ Black Hole

Abstract

In the previous work, it was shown that the degrees of freedom on the horizon of BTZ black hole can be described by two chiral massless scalar fields with opposite chirality. In this paper, we continuous this research. It is found that the scalar field is actually a compact boson field on a circle. The compactness results in the quantization of the black hole radius. Then we quantize the two boson fields and get two abelian Kac-Moody algebras. From the boson field, one can construct the full $W_{1+\infty }$ algebra which was used to classify the BTZ black holes.

8 pages, comments are welcome

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Cited by in corpus (5)

• Microscopic states of Kerr black holes from boundary-bulk correspondence
• Modified gauge unfixing formalism and gauge symmetries in the non-commutative chiral bosons theory
• Topological entanglement entropy of the BTZ black hole
• Hawking Radiation Is Pure
• Hawking Radiation from Boundary Scalar Field