https://doi.org/10.1140/epjc/s10052-020-7888-8
Regular Article - Theoretical Physics
Volkov–Akulov–Starobinsky supergravity revisited
1
Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, Pathumwan, Bangkok, 10330, Thailand
2
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, Almaty, 050040, Kazakhstan
* e-mail: yermek.a@chula.ac.th
Received:
28
January
2020
Accepted:
2
March
2020
Published online:
20
April
2020
We find new realizations of Volkov–Akulov–Starobinsky supergravity, i.e. Starobinsky inflationary models in supergravity coupled to a nilpotent superfield describing Volkov–Akulov goldstino. Our constructions are based on the no-scale Kähler potential 
for the inflaton field, and can describe de Sitter vacuum after inflation where supersymmetry is broken by the goldstino auxiliary component. In fact, we show that a more general class of models with 
for 
can accomodate Starobinsky-like inflation with the universal prediction 
and 
, while for 
viable hilltop inflation is possible (with 
and r close to the above expressions). We derive the full component action and the masses of sinflaton, gravitino, and inflatino that are generally around the inflationary Hubble scale. Finally, we show that one of our models can be dualized into higher-derivative supergravity with constrained chiral curvature superfield.
© The Author(s), 2020
