OSp supergroup manifolds, superparticles and supertwistors
نویسندگان
چکیده
We construct simple twistor–like actions describing superparticles propagating on a coset superspace OSp(1|4)/SO(1, 3) (containing the D = 4 anti–de–Sitter space as a bosonic subspace), on a supergroup manifold OSp(1|4) and, generically, on OSp(1|2n). Making two different contractions of the superparticle model on the OSp(1|4) supermanifold we get massless superparticles in Minkowski superspace without and with tensorial central charges. Using a suitable parametrization of OSp(1|2n) we obtain even Sp(2n)–valued Cartan forms which are quadratic in Grassmann coordinates of OSp(1|2n). This result may simplify the structure of brane actions in super–AdS backgrounds. For instance, the twistor–like actions constructed with the use of the even OSp(1|2n) Cartan forms as supervielbeins are quadratic in fermionic variables. We also show that the free bosonic twistor particle action describes massless particles propagating in arbitrary space-times with a conformally flat metric, in particular, in Minkowski space and AdS space. Applications of these results to the theory of higher spin fields and to superbranes in AdS superbackgrounds are mentioned.
منابع مشابه
1 9 Se p 20 06 Universal T - matrix , Representations of OSp q ( 1 / 2 ) and Little Q
We obtain a closed form expression of the universal T-matrix encapsulating the duality of the quantum superalgebra U q [osp(1/2)] and the corresponding supergroup OSp q (1/2). The classical q → 1 limit of this universal T matrix yields the group element of the undeformed OSp(1/2) supergroup. The finite dimensional representations of the quantum supergroup OSp q (1/2) are readily constructed emp...
متن کاملUniversal T - matrix , Representations of OSp q ( 1 / 2 ) and Little Q - Jacobi Polynomials
We obtain a closed form expression of the universal T-matrix encapsulating the duality between the quantum superalgebra U q [osp(1/2)] and the corresponding su-pergroup OSp q (1/2). The classical q → 1 limit of this universal T matrix yields the group element of the undeformed OSp(1/2) supergroup. The finite dimensional representations of the quantum supergroup OSp q (1/2) are readily construct...
متن کاملG/G Gauged Supergroup Valued WZNW Field Theory
The G/G gauged supergroup valued WZNW theory is considered. It is shown that for G = OSP (1, 2), the G/G theory tensoring a (b, c, β, γ) system is equivalent to the non-critical fermionic theory. The relation between integral or half integral moded affine superalgebra and its reduced theory, the NS or R superconformal algebra, is discussed in detail. The physical state space, i.e. the BRST semi...
متن کاملTowards a Chern-Simons M theory of OSp(1|32) ×OSp(1|32)
A possible way of defining M theory as the CS theory for the supergroup OSp(1|32) × OSp(1|32) is investigated, based on the approach by Horava in hep-th/9712130. In the high energy limit (expansion in M), where only the highest (R) terms survive in the action, the supergroup contracts to the D’Auria-FreM theory supergroup. Then the contracted equations of motion are solved by the usual 11d supe...
متن کاملSupertwistors, Massive Superparticles and Κ-symmetry
We consider a D = 4 two-twistor lagrangian for a massive particle that incorporates the mass-shell condition in an algebraic way, and extend it to a two-supertwistor model with N = 2 supersymmetry and central charge identified with the mass. In the purely super-twistorial picture the two D = 4 supertwistors are coupled through a Wess-Zumino term in their fermionic sector. We demonstrate how the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999