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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Integrability and Diffeomorphisms on Target Space
Christoph Adama, Joaquin Sanchez-Guillena, Andrzej Wereszczynskib a Department of Particle Physics, University of Santiago de Compostela, Spain
b Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Krakow, Poland
Аннотация:
We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples.
Ключевые слова:
integrability; zero curvature; conservation laws; nonlinear field theories.
Поступила: 18 октября 2007 г.; в окончательном варианте 10 декабря 2007 г.; опубликована 20 декабря 2007 г.
Образец цитирования:
Christoph Adam, Joaquin Sanchez-Guillen, Andrzej Wereszczynski, “Integrability and Diffeomorphisms on Target Space”, SIGMA, 3 (2007), 123, 11 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma249 https://www.mathnet.ru/rus/sigma/v3/p123
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