## Imaginary supergravity or Virial supergravity?

## Abstract

Here, 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.

- Authors:

- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. of Theoretical Physics

- Publication Date:

- Research Org.:
- California Inst. of Technology, Pasadena, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1228399

- Alternate Identifier(s):
- OSTI ID: 1455213

- Grant/Contract Number:
- SC0011632

- Resource Type:
- Published Article

- Journal Name:
- Nuclear Physics. B

- Additional Journal Information:
- Journal Volume: 892; Journal Issue: C; Journal ID: ISSN 0550-3213

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Nakayama, Yu. Imaginary supergravity or Virial supergravity?. United States: N. p., 2015.
Web. doi:10.1016/j.nuclphysb.2015.01.012.
```

```
Nakayama, Yu. Imaginary supergravity or Virial supergravity?. United States. doi:10.1016/j.nuclphysb.2015.01.012.
```

```
Nakayama, Yu. Fri .
"Imaginary supergravity or Virial supergravity?". United States. doi:10.1016/j.nuclphysb.2015.01.012.
```

```
@article{osti_1228399,
```

title = {Imaginary supergravity or Virial supergravity?},

author = {Nakayama, Yu},

abstractNote = {Here, 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.},

doi = {10.1016/j.nuclphysb.2015.01.012},

journal = {Nuclear Physics. B},

number = C,

volume = 892,

place = {United States},

year = {2015},

month = {1}

}

DOI: 10.1016/j.nuclphysb.2015.01.012

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