Fractional black p-branes on orbifold ℂ n /ℤ n

Muneto Nitta; Kunihito Uzawa

doi:10.1007/JHEP03(2021)018

Fractional black p-branes on orbifold ℂⁿ /ℤ_n

Muneto Nitta, Kunihito Uzawa

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The recent discovery of an explicit solution of a black hole on the resolved orbifold ℂⁿ/ℤ_n makes it possible to investigate the existence of p-branes on the orbifold. In particular, it is possible with reasonable precision to verify the prediction that an M2-brane on ℂ⁴/ℤ4 in eleven dimensions and a D3-brane on ℂ³/ℤ₃ in ten dimensions have a family of black p-branes on the orbifold ℂⁿ/ℤ_n. These solutions are extremal and have regular horizons S²ⁿ⁻¹/ℤ_n without any naked singularity, with near horizon geometries AdS_p+2 × S²ⁿ⁻¹/ℤ_n.

Original language	English
Article number	18
Journal	Journal of High Energy Physics
Volume	2021
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2021)018
Publication status	Published - 2021 Mar

Keywords

Black Holes
p-branes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP03(2021)018

Cite this

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title = "Fractional black p-branes on orbifold ℂ n /ℤ n",

abstract = "The recent discovery of an explicit solution of a black hole on the resolved orbifold ℂn/ℤn makes it possible to investigate the existence of p-branes on the orbifold. In particular, it is possible with reasonable precision to verify the prediction that an M2-brane on ℂ4/ℤ4 in eleven dimensions and a D3-brane on ℂ3/ℤ3 in ten dimensions have a family of black p-branes on the orbifold ℂn/ℤn. These solutions are extremal and have regular horizons S2n−1/ℤn without any naked singularity, with near horizon geometries AdSp+2 × S2n−1/ℤn.",

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AB - The recent discovery of an explicit solution of a black hole on the resolved orbifold ℂn/ℤn makes it possible to investigate the existence of p-branes on the orbifold. In particular, it is possible with reasonable precision to verify the prediction that an M2-brane on ℂ4/ℤ4 in eleven dimensions and a D3-brane on ℂ3/ℤ3 in ten dimensions have a family of black p-branes on the orbifold ℂn/ℤn. These solutions are extremal and have regular horizons S2n−1/ℤn without any naked singularity, with near horizon geometries AdSp+2 × S2n−1/ℤn.

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