# Spontaneous Z{sub 2} symmetry breaking in the orbifold daughter of N=1 super-Yang-Mills theory, fractional domain walls and vacuum structure

## Abstract

We discuss the fate of the Z{sub 2} symmetry and the vacuum structure in a SU(N)xSU(N) gauge theory with one bifundamental Dirac fermion. This theory can be obtained from SU(2N) supersymmetric Yang-Mills theory by virtue of Z{sub 2} orbifolding. We analyze dynamics of domain walls and argue that the Z{sub 2} symmetry is spontaneously broken. Since unbroken Z{sub 2} is a necessary condition for nonperturbative planar equivalence we conclude that the orbifold daughter is nonperturbatively nonequivalent to its supersymmetric parent. En route, our investigation reveals the existence of fractional domain walls, similar to fractional D-branes of string theory on orbifolds. We conjecture on the fate of these domain walls in the true solution of the Z{sub 2}-broken orbifold theory. We also comment on relation with nonsupersymmetric string theories and closed-string tachyon condensation.

- Authors:

- Department of Physics, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP (United Kingdom)
- William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
- (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 20711580

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.105001; (c) 2005 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; GAUGE INVARIANCE; MATHEMATICAL SOLUTIONS; MEMBRANES; QUANTUM FIELD THEORY; STRING MODELS; SU GROUPS; SUPERSYMMETRY; SYMMETRY BREAKING; VACUUM STATES; YANG-MILLS THEORY

### Citation Formats

```
Armoni, A., Gorsky, A., Institute of Theoretical and Experimental Physics, Moscow 117259, and Shifman, M.
```*Spontaneous Z{sub 2} symmetry breaking in the orbifold daughter of N=1 super-Yang-Mills theory, fractional domain walls and vacuum structure*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.105001.

```
Armoni, A., Gorsky, A., Institute of Theoretical and Experimental Physics, Moscow 117259, & Shifman, M.
```*Spontaneous Z{sub 2} symmetry breaking in the orbifold daughter of N=1 super-Yang-Mills theory, fractional domain walls and vacuum structure*. United States. doi:10.1103/PhysRevD.72.105001.

```
Armoni, A., Gorsky, A., Institute of Theoretical and Experimental Physics, Moscow 117259, and Shifman, M. Tue .
"Spontaneous Z{sub 2} symmetry breaking in the orbifold daughter of N=1 super-Yang-Mills theory, fractional domain walls and vacuum structure". United States.
doi:10.1103/PhysRevD.72.105001.
```

```
@article{osti_20711580,
```

title = {Spontaneous Z{sub 2} symmetry breaking in the orbifold daughter of N=1 super-Yang-Mills theory, fractional domain walls and vacuum structure},

author = {Armoni, A. and Gorsky, A. and Institute of Theoretical and Experimental Physics, Moscow 117259 and Shifman, M.},

abstractNote = {We discuss the fate of the Z{sub 2} symmetry and the vacuum structure in a SU(N)xSU(N) gauge theory with one bifundamental Dirac fermion. This theory can be obtained from SU(2N) supersymmetric Yang-Mills theory by virtue of Z{sub 2} orbifolding. We analyze dynamics of domain walls and argue that the Z{sub 2} symmetry is spontaneously broken. Since unbroken Z{sub 2} is a necessary condition for nonperturbative planar equivalence we conclude that the orbifold daughter is nonperturbatively nonequivalent to its supersymmetric parent. En route, our investigation reveals the existence of fractional domain walls, similar to fractional D-branes of string theory on orbifolds. We conjecture on the fate of these domain walls in the true solution of the Z{sub 2}-broken orbifold theory. We also comment on relation with nonsupersymmetric string theories and closed-string tachyon condensation.},

doi = {10.1103/PhysRevD.72.105001},

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

number = 10,

volume = 72,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2005},

month = {Tue Nov 15 00:00:00 EST 2005}

}