# Zeta-function regularization of holographic Wilson loops

## Abstract

Using $${\zeta}$$-function regularization, we study the one-loop effective action of fundamental strings in $$Ad{S}_{5}\times{}{S}^{5}$$ dual to the latitude $$\frac{1}{4}$$-BPS Wilson loop in $$\mathcal{N}=4$$ super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $$\frac{1}{2}$$-BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States); Andrés Bello National Univ., Santiago (Chile); National Univ. of La Plata (UNLP) (Argentina)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Fund for Scientific and Technological Development; National Scientific and Technical Research Council (CONICET)

- OSTI Identifier:
- 1464301

- Alternate Identifier(s):
- OSTI ID: 1503839; OSTI ID: 1650573

- Grant/Contract Number:
- SC0017808; SC0007859; 1160282; PICT 2012-0417; PIP0595/13; X648UNLP; PIP 0681

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 4; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge-gravity dualities; Large-N expansion in field theory; Strings & branes

### Citation Formats

```
Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, and Silva, Guillermo A. Zeta-function regularization of holographic Wilson loops. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.046011.
```

```
Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, & Silva, Guillermo A. Zeta-function regularization of holographic Wilson loops. United States. doi:https://doi.org/10.1103/PhysRevD.98.046011
```

```
Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, and Silva, Guillermo A. Mon .
"Zeta-function regularization of holographic Wilson loops". United States. doi:https://doi.org/10.1103/PhysRevD.98.046011.
```

```
@article{osti_1464301,
```

title = {Zeta-function regularization of holographic Wilson loops},

author = {Aguilera-Damia, Jeremías and Faraggi, Alberto and Pando Zayas, Leopoldo A. and Rathee, Vimal and Silva, Guillermo A.},

abstractNote = {Using ${\zeta}$-function regularization, we study the one-loop effective action of fundamental strings in $Ad{S}_{5}\times{}{S}^{5}$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $\frac{1}{2}$-BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.},

doi = {10.1103/PhysRevD.98.046011},

journal = {Physical Review D},

number = 4,

volume = 98,

place = {United States},

year = {2018},

month = {8}

}

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DOI: https://doi.org/10.1103/PhysRevD.98.046011

DOI: https://doi.org/10.1103/PhysRevD.98.046011

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Cited by: 1 work

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Works referencing / citing this record:

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Quantum corrections to minimal surfaces with mixed three-form flux

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