# Yang-Mills localization in warped space

## Abstract

We present a mechanism to localize zero mode non-Abelian gauge fields in a slice of AdS{sub 5}. As in the U(1) case, bulk and boundary mass terms allow for a massless mode with an exponential profile that can be localized anywhere in the bulk. However in the non-Abelian extension, the cubic and quartic zero-mode gauge couplings do not match, implying a loss of 4D gauge invariance. We show that the symmetry can be restored at the nonlinear level by considering brane-localized interactions, which are added in a gauge invariant way using boundary kinetic terms. Possible issues related to the scalar sector of the theory, such as strong coupling and ghosts, are also discussed. Our approach is then compared with other localization mechanisms motivated by dilaton gravity and deconstruction. Finally, we show how to localize the scalar component A{sub 5} zero mode anywhere in the bulk which could be relevant in gauge-Higgs unification models.

- Authors:

- School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

- Publication Date:

- OSTI Identifier:
- 21010935

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.025022; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; GAUGE INVARIANCE; GRAND UNIFIED THEORY; GRAVITATION; HIGGS BOSONS; HIGGS MODEL; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SCALARS; SPACE; STRONG-COUPLING MODEL; SYMMETRY; TOPOLOGY; U-1 GROUPS; YANG-MILLS THEORY

### Citation Formats

```
Batell, Brian, and Gherghetta, Tony.
```*Yang-Mills localization in warped space*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.025022.

```
Batell, Brian, & Gherghetta, Tony.
```*Yang-Mills localization in warped space*. United States. doi:10.1103/PHYSREVD.75.025022.

```
Batell, Brian, and Gherghetta, Tony. Mon .
"Yang-Mills localization in warped space". United States.
doi:10.1103/PHYSREVD.75.025022.
```

```
@article{osti_21010935,
```

title = {Yang-Mills localization in warped space},

author = {Batell, Brian and Gherghetta, Tony},

abstractNote = {We present a mechanism to localize zero mode non-Abelian gauge fields in a slice of AdS{sub 5}. As in the U(1) case, bulk and boundary mass terms allow for a massless mode with an exponential profile that can be localized anywhere in the bulk. However in the non-Abelian extension, the cubic and quartic zero-mode gauge couplings do not match, implying a loss of 4D gauge invariance. We show that the symmetry can be restored at the nonlinear level by considering brane-localized interactions, which are added in a gauge invariant way using boundary kinetic terms. Possible issues related to the scalar sector of the theory, such as strong coupling and ghosts, are also discussed. Our approach is then compared with other localization mechanisms motivated by dilaton gravity and deconstruction. Finally, we show how to localize the scalar component A{sub 5} zero mode anywhere in the bulk which could be relevant in gauge-Higgs unification models.},

doi = {10.1103/PHYSREVD.75.025022},

journal = {Physical Review. D, Particles Fields},

number = 2,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}