Imaginary supergravity or Virial supergravity?
When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra “i”s in various formulae. We construct a novel type of supergravity f...
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| Format: | Article |
| Language: | English |
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Elsevier
2015-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315000231 |
| _version_ | 1828322005931261952 |
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| author | Yu Nakayama |
| author_facet | Yu Nakayama |
| author_sort | Yu Nakayama |
| collection | DOAJ |
| description | When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra “i”s in various formulae. We construct a novel type of supergravity from gauging the Virial supercurrent supermultiplet in d=1+3 dimensions. We give the full non-linear superspace action with the help of a covariantly linear unitary superconformal compensator. The resulting supergravity is peculiar: (1) no Einstein-like second order kinetic term is allowed without matter, (2) there exists a dynamical non-geometrical connection, (3) the metric is unimodular in the Wess–Zumino gauge and can be coupled only to scale invariant matter. Examples of matter couplings and higher derivative kinetic terms are studied from the superconformal approach. Our work completes the classification of the irreducible N=1 supergravities in d=1+3 dimensions. |
| first_indexed | 2024-04-13T18:34:37Z |
| format | Article |
| id | doaj.art-da8fd24d44d24e4d9d789c4e9a6145ca |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-13T18:34:37Z |
| publishDate | 2015-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-da8fd24d44d24e4d9d789c4e9a6145ca2022-12-22T02:34:56ZengElsevierNuclear Physics B0550-32132015-03-01892288305Imaginary supergravity or Virial supergravity?Yu Nakayama0Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, USAWhen a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra “i”s in various formulae. We construct a novel type of supergravity from gauging the Virial supercurrent supermultiplet in d=1+3 dimensions. We give the full non-linear superspace action with the help of a covariantly linear unitary superconformal compensator. The resulting supergravity is peculiar: (1) no Einstein-like second order kinetic term is allowed without matter, (2) there exists a dynamical non-geometrical connection, (3) the metric is unimodular in the Wess–Zumino gauge and can be coupled only to scale invariant matter. Examples of matter couplings and higher derivative kinetic terms are studied from the superconformal approach. Our work completes the classification of the irreducible N=1 supergravities in d=1+3 dimensions.http://www.sciencedirect.com/science/article/pii/S0550321315000231 |
| spellingShingle | Yu Nakayama Imaginary supergravity or Virial supergravity? Nuclear Physics B |
| title | Imaginary supergravity or Virial supergravity? |
| title_full | Imaginary supergravity or Virial supergravity? |
| title_fullStr | Imaginary supergravity or Virial supergravity? |
| title_full_unstemmed | Imaginary supergravity or Virial supergravity? |
| title_short | Imaginary supergravity or Virial supergravity? |
| title_sort | imaginary supergravity or virial supergravity |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315000231 |
| work_keys_str_mv | AT yunakayama imaginarysupergravityorvirialsupergravity |