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Title: Imaginary supergravity or Virial supergravity?

Abstract

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:
ORCiD logo
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1228399
Alternate Identifier(s):
OSTI ID: 1455213; OSTI ID: 1596713
Grant/Contract Number:  
SC0011632
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 892 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Nakayama, Yu. Imaginary supergravity or Virial supergravity?. Netherlands: N. p., 2015. Web. doi:10.1016/j.nuclphysb.2015.01.012.
Nakayama, Yu. Imaginary supergravity or Virial supergravity?. Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.01.012
Nakayama, Yu. 2015. "Imaginary supergravity or Virial supergravity?". Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.01.012.
@article{osti_1228399,
title = {Imaginary supergravity or Virial supergravity?},
author = {Nakayama, Yu},
abstractNote = {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},
url = {https://www.osti.gov/biblio/1228399}, journal = {Nuclear Physics. B},
issn = {0550-3213},
number = C,
volume = 892,
place = {Netherlands},
year = {Sun Mar 01 00:00:00 EST 2015},
month = {Sun Mar 01 00:00:00 EST 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1016/j.nuclphysb.2015.01.012

Citation Metrics:
Cited by: 5 works
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