# 4d $$ \mathcal{N}=1/2d $$ Yang-Mills duality in holography

## Abstract

We study the supergravity dual of four-dimensional *N* = 1 superconformal field theories arising from wrapping M5-branes on a Kähler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living on the cobordism between the infrared and ultraviolet Riemann surfaces, describing the renormalization group flows between AdS _{7} and AdS _{5} as well as between different AdS _{5} fixed points. Here the realization of this system as an effective theory is convenient to make connections to known theories, and we show that upon imposing (physical) infrared boundary conditions, the effective three-dimensional theory further reduces to two-dimensional SU(2) Yang-Mills theory on the Riemann surface.

- Authors:

- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics

- Publication Date:

- Research Org.:
- California Inst. of Technology, Pasadena, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1501464

- Grant/Contract Number:
- SC0011632

- 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: 2018; Journal Issue: 8; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS-CFT Correspondence; M-Theory; Renormalization Group; Supergravity Models

### Citation Formats

```
Fluder, Martin. 4d $ \mathcal{N}=1/2d $ Yang-Mills duality in holography. United States: N. p., 2018.
Web. doi:10.1007/jhep08(2018)038.
```

```
Fluder, Martin. 4d $ \mathcal{N}=1/2d $ Yang-Mills duality in holography. United States. doi:10.1007/jhep08(2018)038.
```

```
Fluder, Martin. Thu .
"4d $ \mathcal{N}=1/2d $ Yang-Mills duality in holography". United States. doi:10.1007/jhep08(2018)038. https://www.osti.gov/servlets/purl/1501464.
```

```
@article{osti_1501464,
```

title = {4d $ \mathcal{N}=1/2d $ Yang-Mills duality in holography},

author = {Fluder, Martin},

abstractNote = {We study the supergravity dual of four-dimensional N = 1 superconformal field theories arising from wrapping M5-branes on a Kähler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living on the cobordism between the infrared and ultraviolet Riemann surfaces, describing the renormalization group flows between AdS7 and AdS5 as well as between different AdS5 fixed points. Here the realization of this system as an effective theory is convenient to make connections to known theories, and we show that upon imposing (physical) infrared boundary conditions, the effective three-dimensional theory further reduces to two-dimensional SU(2) Yang-Mills theory on the Riemann surface.},

doi = {10.1007/jhep08(2018)038},

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

number = 8,

volume = 2018,

place = {United States},

year = {2018},

month = {8}

}

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