Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model
The supersymmetric baby-Skyrme model is an interesting field theoretical model, and its BPS states have been studied using the usual supersymmetric transformation of the fields. Here, we use the BPS Lagrangian method [7], that has been used mainly in non-supersymmetric theories, to rigorously obtain...
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Elsevier
2025-05-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325002084 |
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| author | Emir Syahreza Fadhilla Ardian Nata Atmaja Bobby Eka Gunara Mir Faizal |
| author_facet | Emir Syahreza Fadhilla Ardian Nata Atmaja Bobby Eka Gunara Mir Faizal |
| author_sort | Emir Syahreza Fadhilla |
| collection | DOAJ |
| description | The supersymmetric baby-Skyrme model is an interesting field theoretical model, and its BPS states have been studied using the usual supersymmetric transformation of the fields. Here, we use the BPS Lagrangian method [7], that has been used mainly in non-supersymmetric theories, to rigorously obtain both topologically stable BPS and non-BPS states in the supersymmetric N=2 baby Skyrme model. It is observed that the BPS states found using this method coincide with the BPS states found using the supersymmetric method. However, we are also able to obtain the non-BPS states, which break all of supersymmetry of the theory. Furthermore, there exists a one-parameter family of non-BPS solutions that are connected to the half-BPS solutions, where half of the supersymmetry is restored when the parameter is set to zero. Thus, we expect that this method might be useful for investigating the topologically stable non-BPS states in other supersymmetric theories. |
| format | Article |
| id | doaj-art-4d3cf315c2b84120b0065aaf4a5ec968 |
| institution | OA Journals |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-4d3cf315c2b84120b0065aaf4a5ec9682025-08-20T02:17:26ZengElsevierPhysics Letters B0370-26932025-05-0186413944710.1016/j.physletb.2025.139447Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme modelEmir Syahreza Fadhilla0Ardian Nata Atmaja1Bobby Eka Gunara2Mir Faizal3Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha no. 10, Bandung, 40132, Indonesia; Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Kompleks PUSPIPTEK Serpong, Tangerang Selatan, 15310, Indonesia; Corresponding author.Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Kompleks PUSPIPTEK Serpong, Tangerang Selatan, 15310, IndonesiaTheoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha no. 10, Bandung, 40132, Indonesia; Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Kompleks PUSPIPTEK Serpong, Tangerang Selatan, 15310, IndonesiaResearch Center for Quantum Physics, National Research and Innovation Agency (BRIN), Kompleks PUSPIPTEK Serpong, Tangerang Selatan, 15310, Indonesia; Canadian Quantum Research Center 204-3002 32 Ave Vernon, BC V1T 2L7, Canada; Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, Kelowna, BC V1V 1V7, CanadaThe supersymmetric baby-Skyrme model is an interesting field theoretical model, and its BPS states have been studied using the usual supersymmetric transformation of the fields. Here, we use the BPS Lagrangian method [7], that has been used mainly in non-supersymmetric theories, to rigorously obtain both topologically stable BPS and non-BPS states in the supersymmetric N=2 baby Skyrme model. It is observed that the BPS states found using this method coincide with the BPS states found using the supersymmetric method. However, we are also able to obtain the non-BPS states, which break all of supersymmetry of the theory. Furthermore, there exists a one-parameter family of non-BPS solutions that are connected to the half-BPS solutions, where half of the supersymmetry is restored when the parameter is set to zero. Thus, we expect that this method might be useful for investigating the topologically stable non-BPS states in other supersymmetric theories.http://www.sciencedirect.com/science/article/pii/S0370269325002084BPS statesSkyrmionsSupersymmetryTopological solitons |
| spellingShingle | Emir Syahreza Fadhilla Ardian Nata Atmaja Bobby Eka Gunara Mir Faizal Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model Physics Letters B BPS states Skyrmions Supersymmetry Topological solitons |
| title | Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model |
| title_full | Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model |
| title_fullStr | Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model |
| title_full_unstemmed | Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model |
| title_short | Topologically stable BPS and non-BPS states in supersymmetric N=2 baby-Skyrme model |
| title_sort | topologically stable bps and non bps states in supersymmetric n 2 baby skyrme model |
| topic | BPS states Skyrmions Supersymmetry Topological solitons |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325002084 |
| work_keys_str_mv | AT emirsyahrezafadhilla topologicallystablebpsandnonbpsstatesinsupersymmetricn2babyskyrmemodel AT ardiannataatmaja topologicallystablebpsandnonbpsstatesinsupersymmetricn2babyskyrmemodel AT bobbyekagunara topologicallystablebpsandnonbpsstatesinsupersymmetricn2babyskyrmemodel AT mirfaizal topologicallystablebpsandnonbpsstatesinsupersymmetricn2babyskyrmemodel |