General nth order differential spectral problem: General structure of the integrable equations, nonuniqueness of recursion operator, and gauge invariance: B. G. Konopelchenko and V. G. Dubrovsky. Institute of Nuclear Physics, 630090, Novosibirsk 90, U.S.S.R.
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 74 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
A new definition of rheonomy is proposed based on Bianchi identities instead of field equations. For theories with auxiliary fields, the transformation rules are obtained in a completely geometrical way and invariance of the action is equivalent to dY = 0, which means surface-independence of the action integral. For theories without auxiliary fields, the transformation rules are found by requiring that the action be invariant, just as in the component approach. Previous methods of obtaining the transformation rules which start from rheonomy of field equations and use certain recipes to find the off-shell extensions of the rules are abandoned. New minimal supergravity is worked out in detail; it is the gauge theory based on a free differential algebra which includes the auxiliary fields.