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A note on D1-D5-J system and 5D small black ring

Iizuka, Norihiro and Shigemori, Masaki (2005) A note on D1-D5-J system and 5D small black ring. Journal of High Energy Physics, 2005 (8). Art. no. 100. ISSN 1126-6708.

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The "small" black ring in 5D obtained by giving angular momentum to the D1-D5 system compactified on S1 × K3 is a very interesting object in the sense that it does not have an event horizon in the supergravity limit whereas it microscopically has a finite entropy. The microscopic origin of this small black ring can be analyzed in detail since it is constructed by adding angular momentum to the well-studied D1-D5 system. On the other hand, its macroscopic, geometrical picture is difficult to study directly. In this note, by duality transformations and the 4D-5D connection, we relate this 5D small black ring to a 4D small non-rotating black hole, where the latter is known to develop a non-vanishing horizon due to stringy R2 corrections to the supergravity action. The entropy of the 4D small black hole agrees with the microscopic entropy of the 5D small black ring, which supports the validity of the 4D-5D connection even for small black objects. These results give an indirect evidence that a non-vanishing horizon is formed for the 5D small black ring.

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Additional Information:© SISSA 2005 Received 9 August 2005, accepted for publication 26 August 2005, Published 31 August 2005 It is pleasure to thank Atish Dabholkar and Ashoke Sen for helpful conversations. We also would like to thank Per Kraus for useful comments on the early draft of this note. N.I. would like to thank friends in Harvard and Caltech string theory group for their very nice hospitality where this work was done. The work of M.S. was supported in part by Department of Energy grant DE-FG03-92ER40701 and a Sherman Fairchild Foundation postdoctoral fellowship. Finally we are happy to thank the people of India for their generosity.
Subject Keywords:Black Holes in String Theory, D-branes
Issue or Number:8
Record Number:CaltechAUTHORS:IIZjhep05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1351
Deposited By: Archive Administrator
Deposited On:11 Jan 2006
Last Modified:02 Oct 2019 22:42

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