TY - JOUR

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.

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

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

M3 - Article

AN - SCOPUS:0347468790

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

SN - 0370-2693

IS - 1-2

ER -