### Abstract

In this talk, we present three examples of new non-trivial vacuum structures that can occur in supersymmetric field theories, along with explicit models in which they arise. The first vacuum structure is one in which supersymmetry is broken at tree-level in a perturbative theory that also contains a supersymmetry-preserving ground state. Models realizing this structure are uniquely characterized by the fact that no flat directions appear in the classical potential, all vacua appear at finite distances in field space, and no non-perturbative physics is required for vacuum stability. The second non-trivial vacuum structure we discuss consists of large (and even infinite) towers of metastable vacua, and we show that models which give rise to such vacuum towers exhibit a rich set of instanton-induced vacuum tunneling dynamics. Finally, our third new non-trivial vacuum structure consists of an infinite number of degenerate vacua; this leads to a Bloch-wave ground state and a vacuum "band" structure. Models with such characteristics therefore experience time-dependent vacuum oscillations. Needless to say, these novel vacuum structures lead to many new potential applications for supersymmetric field theories, ranging from the cosmological-constant problem to the string landscape, supersymmetry breaking, and Z′ phenomenology.

Original language | English (US) |
---|---|

Title of host publication | AIP Conference Proceedings |

Pages | 185-193 |

Number of pages | 9 |

Volume | 1200 |

DOIs | |

State | Published - 2009 |

Event | 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions, SUSY 2009 - Boston, MA, United States Duration: Jan 5 2009 → Jan 10 2009 |

### Other

Other | 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions, SUSY 2009 |
---|---|

Country | United States |

City | Boston, MA |

Period | 1/5/09 → 1/10/09 |

### Fingerprint

### Keywords

- Metastability
- Supersymmetry
- Vacuum structure

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*AIP Conference Proceedings*(Vol. 1200, pp. 185-193) https://doi.org/10.1063/1.3327557

**Classical metastable supersymmetry breaking with D-terms : Tree-level nests and vacuum towers.** / Dienes, Keith R; Thomas, Brooks.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*AIP Conference Proceedings.*vol. 1200, pp. 185-193, 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions, SUSY 2009, Boston, MA, United States, 1/5/09. https://doi.org/10.1063/1.3327557

}

TY - GEN

T1 - Classical metastable supersymmetry breaking with D-terms

T2 - Tree-level nests and vacuum towers

AU - Dienes, Keith R

AU - Thomas, Brooks

PY - 2009

Y1 - 2009

N2 - In this talk, we present three examples of new non-trivial vacuum structures that can occur in supersymmetric field theories, along with explicit models in which they arise. The first vacuum structure is one in which supersymmetry is broken at tree-level in a perturbative theory that also contains a supersymmetry-preserving ground state. Models realizing this structure are uniquely characterized by the fact that no flat directions appear in the classical potential, all vacua appear at finite distances in field space, and no non-perturbative physics is required for vacuum stability. The second non-trivial vacuum structure we discuss consists of large (and even infinite) towers of metastable vacua, and we show that models which give rise to such vacuum towers exhibit a rich set of instanton-induced vacuum tunneling dynamics. Finally, our third new non-trivial vacuum structure consists of an infinite number of degenerate vacua; this leads to a Bloch-wave ground state and a vacuum "band" structure. Models with such characteristics therefore experience time-dependent vacuum oscillations. Needless to say, these novel vacuum structures lead to many new potential applications for supersymmetric field theories, ranging from the cosmological-constant problem to the string landscape, supersymmetry breaking, and Z′ phenomenology.

AB - In this talk, we present three examples of new non-trivial vacuum structures that can occur in supersymmetric field theories, along with explicit models in which they arise. The first vacuum structure is one in which supersymmetry is broken at tree-level in a perturbative theory that also contains a supersymmetry-preserving ground state. Models realizing this structure are uniquely characterized by the fact that no flat directions appear in the classical potential, all vacua appear at finite distances in field space, and no non-perturbative physics is required for vacuum stability. The second non-trivial vacuum structure we discuss consists of large (and even infinite) towers of metastable vacua, and we show that models which give rise to such vacuum towers exhibit a rich set of instanton-induced vacuum tunneling dynamics. Finally, our third new non-trivial vacuum structure consists of an infinite number of degenerate vacua; this leads to a Bloch-wave ground state and a vacuum "band" structure. Models with such characteristics therefore experience time-dependent vacuum oscillations. Needless to say, these novel vacuum structures lead to many new potential applications for supersymmetric field theories, ranging from the cosmological-constant problem to the string landscape, supersymmetry breaking, and Z′ phenomenology.

KW - Metastability

KW - Supersymmetry

KW - Vacuum structure

UR - http://www.scopus.com/inward/record.url?scp=77949892684&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77949892684&partnerID=8YFLogxK

U2 - 10.1063/1.3327557

DO - 10.1063/1.3327557

M3 - Conference contribution

AN - SCOPUS:77949892684

SN - 9780735407374

VL - 1200

SP - 185

EP - 193

BT - AIP Conference Proceedings

ER -