cobble 发表于 2025-3-21 19:57:28
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Deformed Gauge Theoriesal gauge theories, but several changes are forced upon us. The Leibniz rule has to be changed such that the theory is now based on a twisted Hopf algebra. Nevertheless, this twisted symmetry structure leads to conservation laws. The symmetry has to be extended from Lie algebra valued to enveloping a滑稽 发表于 2025-3-22 02:06:22
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Deformed Gauge Theory: Twist Versus Seiberg–Witten Approachormations is unchanged, but the Leibniz rule is changed (compared with gauge theories on commutative space). Consistency of the equations of motion requires enveloping algebravalued gauge fields, which leads to new degrees of freedom. In the second approach we have to go to the enveloping algebra agLime石灰 发表于 2025-3-22 08:43:25
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Noncommutative Spacesefore complement the previous chapters where noncommutative spaces have been described by the commutation relations of their coordinates. The full algebraic description of ordinary (commutative) spaces requires the completion of the algebra of coordinates into a .-algebra, this encodes the Hausdorff法官 发表于 2025-3-22 17:07:39
Noncommutative Symmetries and Gravityacetime diffeomorphisms are twisted into noncommutative diffeomorphisms. Their deformed Lie algebra structure and that of infinitesimal Poincaré transformations is defined and explicitly constructed. We can then define covariant derivatives (that implement the principle of general covariance on nonc牛的细微差别 发表于 2025-3-22 21:44:55
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