Schwarzschild black holes in various dimensions from matrix theory

Igor R. Klebanov; Leonard Susskind

doi:10.1016/s0370-2693(97)01318-x

Schwarzschild black holes in various dimensions from matrix theory

Igor R. Klebanov
, Leonard Susskind

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

60 Scopus citations

Abstract

In a recent paper it was shown that the properties of Schwarzschild black holes in 8 dimensions are correctly described up to factors of order unity by Matrix theory compactified on T³. Here we consider compactifications on tori of general dimension d. Although in general little is known about the relevant d + 1 dimensional theories on the dual tori, there are hints from their application to near-extreme parallel Dirichlet d-branes. Using these hints we get the correct mass-entropy scaling for Schwarzschild black holes in (11 - d) dimensions.

Original language	English (US)
Pages (from-to)	62-66
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	416
Issue number	1-2
DOIs	https://doi.org/10.1016/s0370-2693(97)01318-x
State	Published - Jan 1 1998

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/s0370-2693(97)01318-x

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@article{d8076109abe444cd99de5a26ad546a1d,

title = "Schwarzschild black holes in various dimensions from matrix theory",

abstract = "In a recent paper it was shown that the properties of Schwarzschild black holes in 8 dimensions are correctly described up to factors of order unity by Matrix theory compactified on T3. Here we consider compactifications on tori of general dimension d. Although in general little is known about the relevant d + 1 dimensional theories on the dual tori, there are hints from their application to near-extreme parallel Dirichlet d-branes. Using these hints we get the correct mass-entropy scaling for Schwarzschild black holes in (11 - d) dimensions.",

author = "Klebanov, \{Igor R.\} and Leonard Susskind",

note = "Funding Information: We are grateful to C. Callan, A. Polyakov and E. Witten for discussions on the equations of state and to N. Seiberg for discussions of compactification on T 6 . We also thank T. Banks and A. Rajaraman for discussions of compactification on T 4 . The work of I.R.K was supported in part by the DOE grant DE-FG02-91ER40671, the NSF Presidential Young Investigator Award PHY-9157482, and the James S. McDonnell Foundation grant No. 91-48. L.S. is grateful to IAS for hospitality. L.S. is a Raymond and Beverly Sackler Fellow at IAS and is supported in part by NSF grants PHY-9513835 and PHY-9219345. ",

year = "1998",

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doi = "10.1016/s0370-2693(97)01318-x",

language = "English (US)",

volume = "416",

pages = "62--66",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

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T1 - Schwarzschild black holes in various dimensions from matrix theory

AU - Klebanov, Igor R.

AU - Susskind, Leonard

N1 - Funding Information: We are grateful to C. Callan, A. Polyakov and E. Witten for discussions on the equations of state and to N. Seiberg for discussions of compactification on T 6 . We also thank T. Banks and A. Rajaraman for discussions of compactification on T 4 . The work of I.R.K was supported in part by the DOE grant DE-FG02-91ER40671, the NSF Presidential Young Investigator Award PHY-9157482, and the James S. McDonnell Foundation grant No. 91-48. L.S. is grateful to IAS for hospitality. L.S. is a Raymond and Beverly Sackler Fellow at IAS and is supported in part by NSF grants PHY-9513835 and PHY-9219345.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - In a recent paper it was shown that the properties of Schwarzschild black holes in 8 dimensions are correctly described up to factors of order unity by Matrix theory compactified on T3. Here we consider compactifications on tori of general dimension d. Although in general little is known about the relevant d + 1 dimensional theories on the dual tori, there are hints from their application to near-extreme parallel Dirichlet d-branes. Using these hints we get the correct mass-entropy scaling for Schwarzschild black holes in (11 - d) dimensions.

AB - In a recent paper it was shown that the properties of Schwarzschild black holes in 8 dimensions are correctly described up to factors of order unity by Matrix theory compactified on T3. Here we consider compactifications on tori of general dimension d. Although in general little is known about the relevant d + 1 dimensional theories on the dual tori, there are hints from their application to near-extreme parallel Dirichlet d-branes. Using these hints we get the correct mass-entropy scaling for Schwarzschild black holes in (11 - d) dimensions.

UR - https://www.scopus.com/pages/publications/0347468790

UR - https://www.scopus.com/pages/publications/0347468790#tab=citedBy

U2 - 10.1016/s0370-2693(97)01318-x

DO - 10.1016/s0370-2693(97)01318-x

M3 - Article

AN - SCOPUS:0347468790

SN - 0370-2693

VL - 416

SP - 62

EP - 66

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Schwarzschild black holes in various dimensions from matrix theory

Abstract

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