Integration of massive states as contractions of non linear sigma-models
We consider the contraction of some non linear sigma models which appear in effective supergravity theories. In particular we consider the contractions of maximally symmetric spaces corresponding to N=1 and N=2 theories, as they appear in certain low energy effective supergravity actions with mass deformations. The contraction procedure is shown to describe the integrating out of massive modes in the presence of interactions, as it happens in many supergravity models after spontaneous supersymmetry breaking.
Andrianopoli, Laura Ferrara, Sergio Lledó Barrena, María Antonia Maciá Juan, Oscar 2005 Integration of massive states as contractions of non linear sigma-models Journal of Mathematical Physics 46 072307-1 072307-20