Nakayama, Yu · arXiv (Cornell University) · 2014
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 $\mathcal{N}=1$ supergravities in $d=1+3$ dimensions.
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Yu Nakayama · Nuclear Physics B · 2015
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J. G. Hayes, S. F. King, I. N. R. Peddie · 2008
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Yolanda Lozano, Steven Duplij, Malte Henkel et al. · 2004
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J. Niederle · 1983
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Pierre Binétruy · 2006
Abstract There are two directions one might take to generalize supersymmetry and its models as we have presented them until this point: (a) to try to incorporate gravity as the fourth fundamental interaction, or (b) by using our experience with gauge theories, to try to make supersymmetry local. It turns out that these two attempts converge: local supersymmetry makes it necessary to introduce a graviton field (and its supersymmetric partner the gravitino) and therefore gravity. Thus the theory of local supersymmetry is called supergravity.
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2014
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Adam Falkowski · 2005
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Mark D. Roberts · OSF Preprints (OSF Preprints) · 2018
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P. van Nieuwenhuizen · Physics Reports · 1981
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Barry Parker · 1987
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Peter Collins, A. D. Martin, Euan J. Squires · 1989
This chapter contains sections titled: Local Supersymmetry A “pure” SUGRA Lagrangian Coupling SUGRA to Matter and Gauge Fields Symmetry Breaking in SUGRA Symmetry Breaking Through Radiative Corrections N = 8 Supergravity Summary
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Bernard de Wit · ArXiv.org · 2002
These notes are based on lectures presented at the 2001 Les Houches Summerschool ``Unity from Duality: Gravity, Gauge Theory and Strings''
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Daniel Butter, Sergei M. Kuzenko · 2011
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D. S. Berman, P. Sundell · 2000
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Physics Subject Headings (PhySH) · 2024
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Ferrara, Sergio · CERN Bulletin · 1994
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WORLD SCIENTIFIC eBooks · 1986
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A. S. Galperin, E.A. Ivanov, E. Sokatchev · Cambridge University Press eBooks · 2001
In this chapter we define the gauge group and prepotentials of conformal N = 2 supergravity in harmonic superspace. The gauge group is a local version of the analytic superspace realization of the rigid superconformal group SU (2, 2|2) discussed in Chapter 9. The prepotentials arise as the Grassmann analytic vielbeins covariantizing the harmonic derivative D++. Then we construct the harmonic superspace action of Einstein N = 2 supergravity. Its first basic ingredient is the action for a Maxwell compensating superfield in the background of conformal supergravity. As a second compensator we take a q+ hypermultiplet. This gives rise to an essentially new, ‘principal’ version of Einstein N = 2 supergravity. It contains an infinite number of auxiliary fields (coming from the q+ compensator) and is the only one allowing for the most general matter couplings. The previously known versions correspond to choosing as compensators N = 2 matter superfields with finite sets of auxiliary fields. They can be reduced to the principal version by duality transformations.
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de Wit, Bernard · CERN Bulletin · 2002
These notes are based on lectures presented at the 2001 Les Houches Summer School 'Unity from Duality: Gravity, Gauge Theory and Strings'
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