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Title: 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:
ORCiD logo [1]
  1. 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}
}

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

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Cited by: 1 work
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