Introduction to supergravity 2015: Exercise 10.
Institute for Theoretical Physics, Masaryk University,
611 37 Brno, Czech Republic
We have a gauged chiral model coupled to supergravity [1] with vanishing superpotential
(P = 0) and with
K + Γ = −3 Log −¯ΦeV
Φ Log ¯ΦeV
Φ . (1)
This model contains a chiral superfield Φ and a gauge superfield V .
• Identify the Kaehler potential K. Identify the Killing potential D(1)
.
• Notice that the vector becomes massive via the Stueckelberg mechanism. Describe the
mechanism.
• Write down the bosonic sector, and show that it gives the Starobinsky model of inflation.
References
[1] J. Wess and J. Bagger, “Supersymmetry and supergravity,” Princeton, USA: Univ. Pr. (1992).
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