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Imaginary supergravity or Virial supergravity?

Nakayama, Yu (2015) Imaginary supergravity or Virial supergravity? Nuclear Physics B, 892 . pp. 288-305. ISSN 0550-3213. doi:10.1016/j.nuclphysb.2015.01.012.

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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.

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Additional Information:© 2015 Published by Elsevier B.V. This is an open access article under the CC BY license ( Funded by SCOAP3. Received 4 December 2014; accepted 13 January 2015. Available online 16 January 2015. This work is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology and DOE grant number DE-SC0011632. The author would like to thank S. Deser for amusing conversations on the Venus physicist approach. He also thanks S. Kuzenko and W.D. Linch for the correspondence and discussions. They have kindly read the manuscript and given various suggestions on it.
Group:Walter Burke Institute for Theoretical Physics
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Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
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Record Number:CaltechAUTHORS:20141217-141836040
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Official Citation:Yu Nakayama, Imaginary supergravity or Virial supergravity?, Nuclear Physics B, Volume 892, March 2015, Pages 288-305, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52974
Deposited By: Joy Painter
Deposited On:17 Dec 2014 22:38
Last Modified:10 Nov 2021 19:46

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