Chiral Lagrangians, anomalies, supersymmetry, and holomorphy
Jun, 1996
31 pages
Published in:
- Nucl.Phys.B 484 (1997) 196-222
e-Print:
- hep-th/9606082 [hep-th]
Report number:
- PUPT-1627,
- ITEP-TH-18-96,
- YCTP-P10-96
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Abstract:
We investigate higher-dimensional analogues of the systems of 2D RCFT. When coupled to gauge fields and Beltrami differentials defining integrable holomorphic structures the partition functions can be explicitly evaluated using anomalies and holomorphy. The resulting induced actions generalize the chiral algebras of 2D RCFT to dimensions. Moreover, 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 systems fermionize both the algebraic sector of the theory, as defined by Losev et. al., and the classical open \CN_{ws}=2 string.Note:
- 31 pp., Harvmac (b) mode
- field theory: conformal
- field theory: rational
- dimension: 2
- ghost
- supersymmetry
- analytic properties
- anomaly
- symmetry: chiral
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