Locally supersymmetric D=3 non-linear sigma models

B. de Wit; A. K. Tollsten; H. Nicolai

doi:10.1016/0550-3213(93)90195-U

paper

Locally supersymmetric D=3 non-linear sigma models

arXiv:hep-th/9208074 · doi:10.1016/0550-3213(93)90195-U

Abstract

We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4 (- 20)}$ , $E_{6 (- 14)}$ , $E_{7 (- 5)}$ and $E_{16 (+ 8)}$ , respectively. For $N = 3$ and $N \geq 5$ the $D = 2$ theories obtained by dimensional reduction are two-loop finite.

35 pages plain tex, CERN-TH.6612/92 THU-92-18

Locally supersymmetric D=3 non-linear sigma models

Abstract

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