q-Deformed Supersymmetry and Dynamic Magnon Representations
نویسنده
چکیده
It was recently noted that the dispersion relation for the magnons of planar N = 4 SYM can be identified with the Casimir of a certain deformation of the Poincaré algebra, in which the energy and momentum operators are supplemented by a boost generator J . By considering the relationship between J and su(2|2)⋉R2, we derive a q-deformed super-Poincaré symmetry algebra of the kinematics. Using this, we show that the dynamic magnon representations may be obtained by boosting from a fixed rest-frame representation. We comment on aspects of the coalgebra structure and some implications for the question of boost-covariance of the S-matrix.
منابع مشابه
R-deformed Heisenberg algebra
It is shown that the deformed Heisenberg algebra involving the reflection operator R (Rdeformed Heisenberg algebra) has finite-dimensional representations which are equivalent to representations of paragrassmann algebra with a special differentiation operator. Guon-like form of the algebra, related to the generalized statistics, is found. Some applications of revealed representations of the R-d...
متن کاملq-Deformed Inhomogeneous Algebras Uq(ison) and Their Representations
Proceeding from the nonstandard q-deformed algebras U ′ q(son+1) and their finitedimensional representations in a q-analog of the Gel’fand-Tsetlin basis, we obtain, by means of the contraction procedure, the corresponding q-deformed inhomogeneous algebras U ′ q(ison) in a uniform fashion for all n ≥ 2 as well as their infinite-dimensional representations.
متن کاملA Universal Investigation of $n$-representations of $n$-quivers
noindent We have two goals in this paper. First, we investigate and construct cofree coalgebras over $n$-representations of quivers, limits and colimits of $n$-representations of quivers, and limits and colimits of coalgebras in the monoidal categories of $n$-representations of quivers. Second, for any given quivers $mathit{Q}_1$,$mathit{Q}_2$,..., $mathit{Q}_n$, we construct a new quiver $math...
متن کاملNon-singlet Q-deformed N = (1, 0) and N = (1, 1/2) U(1) Actions
In this paper we construct N = (1, 0) and N = (1, 1/2) non-singlet Q-deformed supersymmetric U(1) actions in components. We obtain an exact expression for the enhanced supersymmetry action by turning off particular degrees of freedom of the deformation tensor. We analyze the behavior of the action upon restoring weekly some of the deformation parameters, obtaining a non trivial interaction term...
متن کاملAltering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry
The statistics-altering operators M present in the limit q = −1 of multiparticle SUq(2)invariant subspaces parallel the action of such operators which naturally occur in supersymmetric theories. We illustrate this heuristically by comparison to a toy N = 2 superymmetry algebra, and ask whether there is a supersymmetry structure underlying SUq(2) at that limit. We remark on the relevance of such...
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 2008