Integration of massive states as contractions of non linear $σ$-models

Details Integration of massive states as contractions of non linear $σ$-models Integration of massive states as contractions of non linear $σ$-models

2005-03-24

arxiv.org/abs/hep-th/0503196v1

J.Math.Phys. 46 (2005) 072307

Physics

High Energy Physics

High Energy Physics - Theory

AMS-LaTeX, 33 pages

Scientific paper

10.1063/1.1960719

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.

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