Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry

Itoyama, Hiroshi; Maruyoshi, Kazunobu; Minato, Syoji

doi:10.1016/j.nuclphysb.2009.12.018

Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry

Hiroshi Itoyama
(
- Osaka City U. and
- OCAMI, Osaka
)
,
Kazunobu Maruyoshi
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Syoji Minato
(
- Osaka City U.
)

Sep, 2009

20 pages

Published in:

Nucl.Phys.B 830 (2010) 1-16

e-Print:

0909.5486 [hep-th]

DOI:

10.1016/j.nuclphysb.2009.12.018

Report number:

OCU-PHYS-320,
YITP-09-58

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Abstract: (Elsevier)

We consider low energy processes described by the N = 2 supercurrent on its partially (to N = 1 ) and spontaneously broken vacuum and the attendant Nambu–Goldstone fermion (NGF), which the presence of the electric and magnetic Fayet–Iliopoulos (FI) terms is responsible for. We show suppressions of amplitudes decaying into the NGF as its momentum becomes small. In the Lagrangian realization (namely, the model of arXiv:hep-th/0409060 ) of the conserved supercurrent, the NGF resides in the overall U ( 1 ) , which is nonetheless not decoupled, and interacts with the SU ( N ) sector through non-derivative as well as derivative couplings. The low energy suppression is instead accomplished by a cancellation between the annihilation diagram from the Yukawa couplings and the contact four-Fermi terms. We give a complete form of the supercurrent and the model is recast in more transparent notation.

Note:

20 pages, 6 figures

fermion: Goldstone particle
coupling: derivative
coupling: Yukawa
spontaneous symmetry breaking
supersymmetry: vacuum state
amplitude analysis: decay
suppression
current algebra
low-energy theorem
singularity

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Figures(6)

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