Fractional black $p$-branes on orbifold ${\mathbb C}^n/{\mathbb Z}_n$

Nitta, Muneto; Uzawa, Kunihito

doi:10.1007/JHEP03(2021)018

Fractional black $p$ -branes on orbifold ${\mathbb C}^n/{\mathbb Z}_n$

Muneto Nitta
(
- Keio U.
)
,
Kunihito Uzawa
(
- Keio U. and
- Kwansei Gakuin U.
)

Dec 24, 2020

13 pages

Published in:

JHEP 03 (2021) 018

Published: Mar 2, 2021

e-Print:

2012.13285 [hep-th]

DOI:

10.1007/JHEP03(2021)018

View in:

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Abstract: (Springer)

The recent discovery of an explicit solution of a black hole on the resolved orbifold ℂ

^{n}

/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 ℂ

^{4}

/ℤ4 in eleven dimensions and a D3-brane on ℂ

^{3}

/ℤ

_{3}

in ten dimensions have a family of black p-branes on the orbifold ℂ

^{n}

/ℤ

_{n}

. These solutions are extremal and have regular horizons S

^{2n−1}

/ℤ

_{n}

without any naked singularity, with near horizon geometries AdS

_{p+2}

× S

^{2n−1}

/ℤ

_{n}

.

Note:

13 pages, Journal version

04.20.Dw
04.65.+e
11.25.-w
11.27.+d
p-branes
Black Holes
horizon: geometry
dimension: 11
dimension: 10
orbifold

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Figures(0)

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Fractional black ppp-branes on orbifold Cn/Zn{\mathbb C}^n/{\mathbb Z}_nCn/Zn​

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Fractional black $p$ -branes on orbifold ${\mathbb C}^n/{\mathbb Z}_n$