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Twists and spectral triples for isospectral deformations

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arxiv math/0102074 v2 pith:H2OEE4AK submitted 2001-02-09 math.QA math-phmath.MP

Twists and spectral triples for isospectral deformations

classification math.QA math-phmath.MP
keywords deformationsisospectralspectraltriplestwistsalgebrasconstructdeformed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct explicitly the symmetries of the isospectral deformations as twists of Lie algebras and demonstrate that they are isometries of the deformed spectral triples.

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    UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.