Nambu–Poisson bracket on superspace
نویسندگان
چکیده
منابع مشابه
Definite and Indefinite Inner Product on Superspace (Hilbert-Krein Superspace)
We present natural (invariant) definite and indefinite scalar products on the N = 1 superspace which turns out to carry an inherent Hilbert-Krein structure. We are motivated by supersymmetry in physics but prefer a general mathematical framework.
متن کاملField Theory on Nonanticommutative Superspace
We discuss a deformation of the Hopf algebra of supersymmetry (SUSY) transformations based on a special choice of twist. As usual, algebra itself remains unchanged, but the comultiplication changes. This leads to the deformed Leibniz rule for SUSY transformations. Superfields are elements of the algebra of functions of the usual supercoordinates. Elements of this algebra are multiplied by using...
متن کاملBracket Products on Locally Compact Abelian Groups
We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G. We investigate the notion of ?-orthogonality, Bessel's Inequality and ?-orthonormal bases with respect to this inner product on L2(G).
متن کاملSupersymmetric CP Sigma Model on Noncommutative Superspace
We construct a closed form of the action of the supersymmetric CP sigma model on noncommutative superspace in four dimensions. We show that this model has N = 1 2 supersymmetry and that the transformation law is not modified. The supersymmetric CP sigma model on noncommutative superspace in two dimensions is obtained by dimensional reducing the model in four dimensions. ∗E-mail: [email protected]...
متن کاملOn Superspace Chern-Simons-like Terms
We search for superspace Chern-Simons-like higher-derivative terms in the low energy effective actions of supersymmetric theories in four dimensions. Superspace ChernSimons-like terms are those gauge-invariant terms which cannot be written solely in terms of field strength superfields and covariant derivatives, but in which a gauge potential superfield appears explicitly. We find one class of s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2018
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887818501906