Quantum version of the N = 8 superconformal algebra
نویسندگان
چکیده
منابع مشابه
Quantum Deformed su(m|n) Algebra and Superconformal Algebra on Quantum Superspace
We study a deformed su(m|n) algebra on a quantum superspace. Some interesting aspects of the deformed algebra are shown. As an application of the deformed algebra we construct a deformed superconformal algebra. From the deformed su(1|4) algebra, we derive deformed Lorentz, translation of Minkowski space, iso(2, 2) and its supersymmetric algebras as closed subalgebras with consistent automorphis...
متن کاملSuperconformal Quantum Mechanics via Wigner-Heisenberg Algebra
We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. It is presented a model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner-Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator). In this context, the energy spectrum, the Casimir operator, creation and annihilation operators are defined. This superco...
متن کاملq-Deformed Superconformal Algebra on Quantum Superspace
A quantum deformation of 4-dimensional superconformal algebra realized on quantum superspace is investigated. We study the differential calculus and the action of the quantum generators corresponding to slq(1|4) which act on the quantum superspace. We derive deformed su(1|2, 2) algebras from the deformed sl(1|4) algebra. Through a contraction procedure we obtain a deformed super-Poincaré algebr...
متن کاملA non-reductive N = 4 superconformal algebra
A new N = 4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)⊕ g, where g should be identified with a fourdimensional non-reductive Lie algebra. Thus, it is the first known example of what we choose to call a non-reductive SCA. It contains a total of 16 generators and is obtained by a nontrivial Inönü-Wigner contractio...
متن کاملA New N = 4 Superconformal Algebra
It is shown that the previously known N = 3 and N = 4 superconformal algebras can be contracted consistently by singular scaling of some of the generators. For the later case, by a contraction which depends on the central term, we obtain a new N = 4 superconformal algebra which contains an SU(2)×U(1) Kac-Moody subalgebra and has nonzero central extension.
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: Nuclear Physics B
سال: 1995
ISSN: 0550-3213
DOI: 10.1016/0550-3213(95)00433-s