# Strongly coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma on the Coulomb branch. II. Transport coefficients and hard probe parameters

## Abstract

We study N = 4 super Yang-Mills theory on the Coulomb branch (cSYM) by using its Type IIB supergravity dual. We compute the transport coefficients and hard probe parameters of N = 4 cSYM at finite temperature T. We use the rotating black 3-brane solution of Type IIB supergravity with a single nonzero rotation parameter r_{0} after analytically continuing r_{0} → –ir_{0}, and in an ensemble where the Hawking temperature T and a scalar condensate < O > ~$$r$$ $$^{4}_{0}$$ are held fixed. We find that the bulk viscosity to entropy density ratio of the large black hole branch decreases with temperature and has a maxima around the critical temperature T_{c}, while, for the small black hole branch, it increases with temperature. The other transport coefficients and parameters of hard probes, such as the conductivity, jet quenching parameter, drag force, and momentum diffusion coefficients of the large black hole branch increase with temperature and asymptote to their conformal value, while, for the small black hole branch, they decrease with temperature.

- Authors:

- Publication Date:

- Research Org.:
- Stony Brook Univ., NY (United States); State Univ. of New York (SUNY), Albany, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1560773

- Alternate Identifier(s):
- OSTI ID: 1610120

- Grant/Contract Number:
- FG02-88ER40388

- Resource Type:
- Published Article

- Journal Name:
- Physical Review. D.

- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 100 Journal Issue: 6; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; astronomy & astrophysics; physics; field & string theory models & techniques; gauge-gravity dualities; quantum chromodynamics; quark-gluon plasma; relativistic heavy-ion collisions; strings & branes; supergravity

## Citation Formats

```
Mamo, Kiminad A. Strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch. II. Transport coefficients and hard probe parameters. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.066011.
```

```
Mamo, Kiminad A. Strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch. II. Transport coefficients and hard probe parameters. United States. https://doi.org/10.1103/PhysRevD.100.066011
```

```
Mamo, Kiminad A. Mon .
"Strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch. II. Transport coefficients and hard probe parameters". United States. https://doi.org/10.1103/PhysRevD.100.066011.
```

```
@article{osti_1560773,
```

title = {Strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch. II. Transport coefficients and hard probe parameters},

author = {Mamo, Kiminad A.},

abstractNote = {We study N = 4 super Yang-Mills theory on the Coulomb branch (cSYM) by using its Type IIB supergravity dual. We compute the transport coefficients and hard probe parameters of N = 4 cSYM at finite temperature T. We use the rotating black 3-brane solution of Type IIB supergravity with a single nonzero rotation parameter r0 after analytically continuing r0 → –ir0, and in an ensemble where the Hawking temperature T and a scalar condensate < O > ~$r$ $^{4}_{0}$ are held fixed. We find that the bulk viscosity to entropy density ratio of the large black hole branch decreases with temperature and has a maxima around the critical temperature Tc, while, for the small black hole branch, it increases with temperature. The other transport coefficients and parameters of hard probes, such as the conductivity, jet quenching parameter, drag force, and momentum diffusion coefficients of the large black hole branch increase with temperature and asymptote to their conformal value, while, for the small black hole branch, they decrease with temperature.},

doi = {10.1103/PhysRevD.100.066011},

journal = {Physical Review. D.},

number = 6,

volume = 100,

place = {United States},

year = {2019},

month = {9}

}

https://doi.org/10.1103/PhysRevD.100.066011

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#### Figures / Tables:

*r*

_{0}, respectively.

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*