Chiral Lagrangians, Anomalies, Supersymmetry, and Holomorphy

Details Chiral Lagrangians, Anomalies, Supersymmetry, and Holomorphy Chiral Lagrangians, Anomalies, Supersymmetry, and Holomorphy

1996-06-14

arxiv.org/abs/hep-th/9606082v1

Nucl.Phys. B484 (1997) 196-222

Physics

High Energy Physics

High Energy Physics - Theory

31 pp., Harvmac (b) mode

Scientific paper

10.1016/S0550-3213(96)00612-8

We investigate higher-dimensional analogues of the $bc$ systems of 2D RCFT. When coupled to gauge fields and Beltrami differentials defining integrable holomorphic structures the $bc$ partition functions can be explicitly evaluated using anomalies and holomorphy. The resulting induced actions generalize the chiral algebras of 2D RCFT to $2n$ dimensions. Moreover, $bc$ systems in four and six dimensions are closely related to supersymmetric matter. In particular, we show that $d=4, \CN=2$ hypermultiplets induce a theory of self-dual Yang-Mills fields coupled to self-dual gravity. In this way the $bc$ systems fermionize both the algebraic sector of the $WZW_4$ theory, as defined by Losev et. al., and the classical open $\CN_{ws}=2$ string.

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