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From Linear to Non-linear Supersymmetry via Functional Integration · Around

2015

From Linear to Non-linear Supersymmetry via Functional Integration

Kallosh, Renata, Karlsson, Anna, Murli, Divyanshu

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We derive a complete pure de Sitter supergravity action with non-linearly realized supersymmetry and its rigid limit, the Volkov-Akulov action, from the corresponding models with linear supersymmetry, by computing the path integral in the limit of infinite sgoldstino mass.

In this, we use a non-Gaussian functional integration formula that was recently discovered in a derivation of de Sitter supergravity from the superconformal theory.
We also present explicit examples of pure dS supergravity and the case with one matter multiplet.
These two simple examples serve as a test and a demo of the universal action formula valid for de Sitter supergravities with general matter coupling.

Built on

D. V. Volkov and V. P. Akulov,
1973
Earlier work this paper cites.
M. Rocek,
1978
Earlier work this paper cites.
E. A. Ivanov and A. A. Kapustnikov,
1978
Earlier work this paper cites.
U. Lindstrom and M. Rocek,
1979
Earlier work this paper cites.
R. Casalbuoni, S. D. Curtis, D. Dominici, F. Feruglio and R. Gatto,
1989
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. Linde and S. Trivedi,
2003
Earlier work this paper cites.
Z. Komargodski and N. Seiberg,
Original
2009
Earlier work this paper cites.
S. M. Kuzenko and S. J. Tyler,
Original
2011
Earlier work this paper cites.
Cambridge University Press, Cambridge, UK, 2012
D. Z. Freedman and A. Van Proeyen, · 2012
Earlier work this paper cites.

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