We introduce, in the spirit of Witten''s gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of lambda and mu-symmetries in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to lambda and mu-conservation laws.
Deformation of Lie derivative and mu-symmetries / P. Morando. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 40:38(2007), pp. 11547-11559.
Deformation of Lie derivative and mu-symmetries
P. MorandoPrimo
2007
Abstract
We introduce, in the spirit of Witten''s gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of lambda and mu-symmetries in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to lambda and mu-conservation laws.
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