### Abstract

The low-energy effective action for the N = 4 super Yang-Mills on the Coulomb branch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the six scalar fields. For each maximal, non-anomalous subgroup of the SU(4) R-symmetry, we find a four-dimensional form of the WZ term with this subgroup being manifest. We then show that a recently proposed expression for the four-derivative part of the effective action in N = 4 USp(4) harmonic superspace yields the WZ term with manifest SO(5) R-symmetry subgroup. The N = 2 SU(2) harmonic superspace form of the effective action produces the WZ term with manifest SO(4) × SO(2). We argue that there is no four-dimensional form of the WZ term with manifest SU(3) R-symmetry, which is relevant for N = 1 and N = 3 superspace formulations of the effective action.

Original language | English |
---|---|

Article number | 112 |

Journal | Journal of High Energy Physics |

Volume | 2011 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2011 |

Externally published | Yes |

### Fingerprint

### Keywords

- Anomalies in field and string theories
- Extended supersymmetry
- Global symmetries
- Supersymmetric effective theories

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2011*(4), [112]. https://doi.org/10.1007/JHEP04(2011)112

**Wess-Zumino term in the N = 4 SYM effective action revisited.** / Belyaev, Dmitry V.; Samsonov, Igor B.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2011, no. 4, 112. https://doi.org/10.1007/JHEP04(2011)112

}

TY - JOUR

T1 - Wess-Zumino term in the N = 4 SYM effective action revisited

AU - Belyaev, Dmitry V.

AU - Samsonov, Igor B.

PY - 2011

Y1 - 2011

N2 - The low-energy effective action for the N = 4 super Yang-Mills on the Coulomb branch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the six scalar fields. For each maximal, non-anomalous subgroup of the SU(4) R-symmetry, we find a four-dimensional form of the WZ term with this subgroup being manifest. We then show that a recently proposed expression for the four-derivative part of the effective action in N = 4 USp(4) harmonic superspace yields the WZ term with manifest SO(5) R-symmetry subgroup. The N = 2 SU(2) harmonic superspace form of the effective action produces the WZ term with manifest SO(4) × SO(2). We argue that there is no four-dimensional form of the WZ term with manifest SU(3) R-symmetry, which is relevant for N = 1 and N = 3 superspace formulations of the effective action.

AB - The low-energy effective action for the N = 4 super Yang-Mills on the Coulomb branch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the six scalar fields. For each maximal, non-anomalous subgroup of the SU(4) R-symmetry, we find a four-dimensional form of the WZ term with this subgroup being manifest. We then show that a recently proposed expression for the four-derivative part of the effective action in N = 4 USp(4) harmonic superspace yields the WZ term with manifest SO(5) R-symmetry subgroup. The N = 2 SU(2) harmonic superspace form of the effective action produces the WZ term with manifest SO(4) × SO(2). We argue that there is no four-dimensional form of the WZ term with manifest SU(3) R-symmetry, which is relevant for N = 1 and N = 3 superspace formulations of the effective action.

KW - Anomalies in field and string theories

KW - Extended supersymmetry

KW - Global symmetries

KW - Supersymmetric effective theories

UR - http://www.scopus.com/inward/record.url?scp=80053136632&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053136632&partnerID=8YFLogxK

U2 - 10.1007/JHEP04(2011)112

DO - 10.1007/JHEP04(2011)112

M3 - Article

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 112

ER -