Supersymmetric spectrum for vector multiplet on Euclidean AdS2
Abstract Quantum study of supersymmetric theories on Euclidean two dimensional anti-de Sitter space (EAdS2) requires complexified spectrum. For a chiral multiplet, we showed that the spectrum of the Dirac operator acquires a universal shift of i/2 from the real spectrum to make the supersymmetry bet...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)139 |
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| author | Alfredo González Lezcano Imtak Jeon Augniva Ray |
| author_facet | Alfredo González Lezcano Imtak Jeon Augniva Ray |
| author_sort | Alfredo González Lezcano |
| collection | DOAJ |
| description | Abstract Quantum study of supersymmetric theories on Euclidean two dimensional anti-de Sitter space (EAdS2) requires complexified spectrum. For a chiral multiplet, we showed that the spectrum of the Dirac operator acquires a universal shift of i/2 from the real spectrum to make the supersymmetry between boson and fermion manifest, where both the bosonic and fermionic eigenfunctions are normalizable using an appropriate definition of Euclidean inner product. We extend this analysis to the vector multiplet, where we show that the gaugino requires both +i/2 and i/2 shift from the real spectrum, and there is additional isolated point at vanishing spectral parameter which is mapped by supersymmetry to the boundary zero modes of the vector field. Furthermore, this spectral analysis shows that not every bosonic fields in the vector multiplet can satisfy normalizable boundary condition. Nevertheless, aided by a reorganization of fields into a cohomological form, we find the supersymmetry mapping between bosons and fermions in terms of the expansion coefficients with respect to the newly constructed basis. |
| format | Article |
| id | doaj-art-dfa9a41feb2b499db2a4dfaa249aba1d |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-dfa9a41feb2b499db2a4dfaa249aba1d2025-08-20T02:22:20ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813110.1007/JHEP08(2024)139Supersymmetric spectrum for vector multiplet on Euclidean AdS2Alfredo González Lezcano0Imtak Jeon1Augniva Ray2Asia Pacific Center for Theoretical Physics, PostechAsia Pacific Center for Theoretical Physics, PostechAsia Pacific Center for Theoretical Physics, PostechAbstract Quantum study of supersymmetric theories on Euclidean two dimensional anti-de Sitter space (EAdS2) requires complexified spectrum. For a chiral multiplet, we showed that the spectrum of the Dirac operator acquires a universal shift of i/2 from the real spectrum to make the supersymmetry between boson and fermion manifest, where both the bosonic and fermionic eigenfunctions are normalizable using an appropriate definition of Euclidean inner product. We extend this analysis to the vector multiplet, where we show that the gaugino requires both +i/2 and i/2 shift from the real spectrum, and there is additional isolated point at vanishing spectral parameter which is mapped by supersymmetry to the boundary zero modes of the vector field. Furthermore, this spectral analysis shows that not every bosonic fields in the vector multiplet can satisfy normalizable boundary condition. Nevertheless, aided by a reorganization of fields into a cohomological form, we find the supersymmetry mapping between bosons and fermions in terms of the expansion coefficients with respect to the newly constructed basis.https://doi.org/10.1007/JHEP08(2024)139Extended SupersymmetrySupersymmetric Gauge Theory |
| spellingShingle | Alfredo González Lezcano Imtak Jeon Augniva Ray Supersymmetric spectrum for vector multiplet on Euclidean AdS2 Journal of High Energy Physics Extended Supersymmetry Supersymmetric Gauge Theory |
| title | Supersymmetric spectrum for vector multiplet on Euclidean AdS2 |
| title_full | Supersymmetric spectrum for vector multiplet on Euclidean AdS2 |
| title_fullStr | Supersymmetric spectrum for vector multiplet on Euclidean AdS2 |
| title_full_unstemmed | Supersymmetric spectrum for vector multiplet on Euclidean AdS2 |
| title_short | Supersymmetric spectrum for vector multiplet on Euclidean AdS2 |
| title_sort | supersymmetric spectrum for vector multiplet on euclidean ads2 |
| topic | Extended Supersymmetry Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP08(2024)139 |
| work_keys_str_mv | AT alfredogonzalezlezcano supersymmetricspectrumforvectormultipletoneuclideanads2 AT imtakjeon supersymmetricspectrumforvectormultipletoneuclideanads2 AT augnivaray supersymmetricspectrumforvectormultipletoneuclideanads2 |