Abstract
We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well.
| Original language | English |
|---|---|
| Article number | 146 |
| Journal | Journal of High Energy Physics |
| Volume | 2018 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2018 Oct 1 |
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Keywords
- Superspaces
- Supersymmetric Effective Theories
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Higher derivative three-form gauge theories and their supersymmetric extension. / Nitta, Muneto; Yokokura, Ryo.
In: Journal of High Energy Physics, Vol. 2018, No. 10, 146, 01.10.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Higher derivative three-form gauge theories and their supersymmetric extension
AU - Nitta, Muneto
AU - Yokokura, Ryo
PY - 2018/10/1
Y1 - 2018/10/1
N2 - We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well.
AB - We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well.
KW - Superspaces
KW - Supersymmetric Effective Theories
UR - http://www.scopus.com/inward/record.url?scp=85055441133&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055441133&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2018)146
DO - 10.1007/JHEP10(2018)146
M3 - Article
AN - SCOPUS:85055441133
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 10
M1 - 146
ER -