The character of the supersymmetric Casimir energy
We study the supersymmetric Casimir energy Esusy of N = 1 field theories with an R-symmetry, defined on rigid supersymmetric backgrounds S1 x M3, using a Hamiltonian formalism. These backgrounds admit an ambi-Hermitian geometry, and we show that the net contributions to Esusy arise from certain twis...
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| Format: | Journal article |
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Springer Berlin Heidelberg
2016
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| _version_ | 1826260788814282752 |
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| author | Martelli, D Sparks, J |
| author_facet | Martelli, D Sparks, J |
| author_sort | Martelli, D |
| collection | OXFORD |
| description | We study the supersymmetric Casimir energy Esusy of N = 1 field theories with an R-symmetry, defined on rigid supersymmetric backgrounds S1 x M3, using a Hamiltonian formalism. These backgrounds admit an ambi-Hermitian geometry, and we show that the net contributions to Esusy arise from certain twisted holo- morphic modes on R x M3, with respect to both complex structures. The super- symmetric Casimir energy may then be identified as a limit of an index-character that counts these modes. In particular this explains a recent observation relating Esusy on S1 x S3 to the anomaly polynomial. As further applications we compute Esusy for certain secondary Hopf surfaces, and discuss how the index-character may also be used to compute generalized supersymmetric indices. |
| first_indexed | 2024-03-06T19:11:17Z |
| format | Journal article |
| id | oxford-uuid:16d9fe1e-e82c-46a5-9ab9-80d38a9cbd0f |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:11:17Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:16d9fe1e-e82c-46a5-9ab9-80d38a9cbd0f2022-03-26T10:33:49ZThe character of the supersymmetric Casimir energyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:16d9fe1e-e82c-46a5-9ab9-80d38a9cbd0fSymplectic Elements at OxfordSpringer Berlin Heidelberg2016Martelli, DSparks, JWe study the supersymmetric Casimir energy Esusy of N = 1 field theories with an R-symmetry, defined on rigid supersymmetric backgrounds S1 x M3, using a Hamiltonian formalism. These backgrounds admit an ambi-Hermitian geometry, and we show that the net contributions to Esusy arise from certain twisted holo- morphic modes on R x M3, with respect to both complex structures. The super- symmetric Casimir energy may then be identified as a limit of an index-character that counts these modes. In particular this explains a recent observation relating Esusy on S1 x S3 to the anomaly polynomial. As further applications we compute Esusy for certain secondary Hopf surfaces, and discuss how the index-character may also be used to compute generalized supersymmetric indices. |
| spellingShingle | Martelli, D Sparks, J The character of the supersymmetric Casimir energy |
| title | The character of the supersymmetric Casimir energy |
| title_full | The character of the supersymmetric Casimir energy |
| title_fullStr | The character of the supersymmetric Casimir energy |
| title_full_unstemmed | The character of the supersymmetric Casimir energy |
| title_short | The character of the supersymmetric Casimir energy |
| title_sort | character of the supersymmetric casimir energy |
| work_keys_str_mv | AT martellid thecharacterofthesupersymmetriccasimirenergy AT sparksj thecharacterofthesupersymmetriccasimirenergy AT martellid characterofthesupersymmetriccasimirenergy AT sparksj characterofthesupersymmetriccasimirenergy |