Aspects of massive ABJM models with inhomogeneous mass parameters

Kyung Kim (Department of Physics, Sejong University, Seoul, 05006, Korea) ; Yoonbai Kim (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea) ; O-Kab Kwon (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea) ; Chanju Kim (Department of Physics, Ewha Womans University, Seoul, 03760, Korea)

Recently, N $$ \mathcal{N} $$ = 3 mass-deformed ABJM model with arbitrary mass-function depending on a spatial coordinate was constructed. In addition to the N $$ \mathcal{N} $$ = 3 case, we construct lower supersymmetric N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 2 inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two arbitrary mass-functions, respectively. We also construct general vacuum solutions of the N $$ \mathcal{N} $$ = 3 ImABJM model for any periodic mass-function. There are two classes of vacua, which are diagonal type and GRVV type according to reference value of mass-functions. We provide explicit examples of the vacuum solutions and discuss related operators.

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  "abstracts": [
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      "source": "Springer", 
      "value": "Recently,   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 3 mass-deformed ABJM model with arbitrary mass-function depending on a spatial coordinate was constructed. In addition to the   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 3 case, we construct lower supersymmetric   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 1 and   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 2 inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two arbitrary mass-functions, respectively. We also construct general vacuum solutions of the   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 3 ImABJM model for any periodic mass-function. There are two classes of vacua, which are diagonal type and GRVV type according to reference value of mass-functions. We provide explicit examples of the vacuum solutions and discuss related operators."
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Published on:
23 December 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 12
Pages 1-27
DOI:
https://doi.org/10.1007/JHEP12(2019)153
arXiv:
1910.05044
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: