# Holographic heat current as Noether current

## Abstract

We employ the Noether procedure to derive a general formula for the radially conserved heat current in AdS planar black holes with certain transverse and traceless perturbations, for a general class of gravity theories. For Einstein gravity, the general higher-order Lovelock gravities and also a class of Horndeski gravities, we derive the boundary stress tensor and show that the resulting boundary heat current matches precisely the bulk Noether current.

- Authors:

- Zhejiang Univ. of Technology, Hangzhou (China). Inst. for Advanced Physics & Mathematics
- Beijing Normal Univ. (China). Center for Advanced Quantum Studies. Dept. of Physics
- Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Inst. for Fundamental Physics and Astronomy; Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics (DAMTP). Centre for Mathematical Sciences

- Publication Date:

- Research Org.:
- Texas A & M Univ., College Station, TX (United States); Zhejiang Univ. of Technology, Hangzhou (China); Beijing Normal Univ. (China)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Natural Science Foundation of China (NNSFC)

- OSTI Identifier:
- 1467084

- Grant/Contract Number:
- FG02-13ER42020; SC0010813

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT correspondence; holography and condensed matter physics (AdS/CMT)

### Citation Formats

```
Liu, Hai-Shan, Lü, H., and Pope, C. N. Holographic heat current as Noether current. United States: N. p., 2017.
Web. doi:10.1007/JHEP09(2017)146.
```

```
Liu, Hai-Shan, Lü, H., & Pope, C. N. Holographic heat current as Noether current. United States. doi:10.1007/JHEP09(2017)146.
```

```
Liu, Hai-Shan, Lü, H., and Pope, C. N. Thu .
"Holographic heat current as Noether current". United States. doi:10.1007/JHEP09(2017)146. https://www.osti.gov/servlets/purl/1467084.
```

```
@article{osti_1467084,
```

title = {Holographic heat current as Noether current},

author = {Liu, Hai-Shan and Lü, H. and Pope, C. N.},

abstractNote = {We employ the Noether procedure to derive a general formula for the radially conserved heat current in AdS planar black holes with certain transverse and traceless perturbations, for a general class of gravity theories. For Einstein gravity, the general higher-order Lovelock gravities and also a class of Horndeski gravities, we derive the boundary stress tensor and show that the resulting boundary heat current matches precisely the bulk Noether current.},

doi = {10.1007/JHEP09(2017)146},

journal = {Journal of High Energy Physics (Online)},

number = 9,

volume = 2017,

place = {United States},

year = {2017},

month = {9}

}

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