# Black holes and five-brane thermodynamics

## Abstract

The phase diagram for Dp-branes in M theory compactified on T[sup 4],T[sup 4]/Z[sub 2],T[sup 5], and T[sup 6] is constructed. As for the lower-dimensional tori considered in our previous work [E. Martinec and V. Sahakian, Phys. Rev. D [bold 59], 124005 (1999)], the black brane phase at high entropy connects onto matrix theory at low entropy; we thus recover all known instances of matrix theory as consequences of the Maldacena conjecture. The difficulties that arise for T[sup 6] are reviewed. We also analyze the D1-D5 system on T[sup 5]; we discuss its relation to matrix models of M5-branes, and use spectral flow as a tool to investigate the dependence of the phase structure on angular momentum. [copyright] [ital 1999] [ital The American Physical Society]

- Authors:

- (Enrico Fermi Institute and Department of Physics, University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637 (United States))

- Publication Date:

- OSTI Identifier:
- 6296197

- Alternate Identifier(s):
- OSTI ID: 6296197

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 60:6; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; ENTROPY; EXTENDED PARTICLE MODEL; GRAVITATION; MATRICES; THERMODYNAMICS; MATHEMATICAL MODELS; PARTICLE MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES 661310* -- Relativity & Gravitation-- (1992-); 662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)

### Citation Formats

```
Martinec, E., and Sahakian, V.
```*Black holes and five-brane thermodynamics*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevD.60.064002.

```
Martinec, E., & Sahakian, V.
```*Black holes and five-brane thermodynamics*. United States. doi:10.1103/PhysRevD.60.064002.

```
Martinec, E., and Sahakian, V. Wed .
"Black holes and five-brane thermodynamics". United States. doi:10.1103/PhysRevD.60.064002.
```

```
@article{osti_6296197,
```

title = {Black holes and five-brane thermodynamics},

author = {Martinec, E. and Sahakian, V.},

abstractNote = {The phase diagram for Dp-branes in M theory compactified on T[sup 4],T[sup 4]/Z[sub 2],T[sup 5], and T[sup 6] is constructed. As for the lower-dimensional tori considered in our previous work [E. Martinec and V. Sahakian, Phys. Rev. D [bold 59], 124005 (1999)], the black brane phase at high entropy connects onto matrix theory at low entropy; we thus recover all known instances of matrix theory as consequences of the Maldacena conjecture. The difficulties that arise for T[sup 6] are reviewed. We also analyze the D1-D5 system on T[sup 5]; we discuss its relation to matrix models of M5-branes, and use spectral flow as a tool to investigate the dependence of the phase structure on angular momentum. [copyright] [ital 1999] [ital The American Physical Society]},

doi = {10.1103/PhysRevD.60.064002},

journal = {Physical Review, D},

issn = {0556-2821},

number = ,

volume = 60:6,

place = {United States},

year = {1999},

month = {9}

}