Bosons Live in Symplectic Coset Spaces
نویسنده
چکیده
A theory for the transitive action of a group on the configuration space of a system of fermions is shown to lead to the conclusion that bosons can be represented by the action of cosets of the group. By application of the principle to fundamental, indivisible fermions, the symplectic group Sp (n) is shown to be the largest group of isometries of the space. Interactions between particles are represented by the coset space Sp (n) / ⊗ n
منابع مشابه
On a Class of Double Cosets in Reductive Algebraic Groups
We study a class of double coset spaces RA\G1 × G2/RC , where G1 and G2 are connected reductive algebraic groups, and RA and RC are certain spherical subgroups of G1×G2 obtained by “identifying” Levi factors of parabolic subgroups in G1 and G2. Such double cosets naturally appear in the symplectic leaf decompositions of Poisson homogeneous spaces of complex reductive groups with the Belavin–Dri...
متن کاملCritical points of the Black - Hole potential for homogeneous special geometries
We extend the analysis of N=2 extremal Black-Hole attractor equations to the case of special geometries based on homogeneous coset spaces. For non-BPS critical points (with non vanishing central charge) the (Bekenstein-Hawking) entropy formula is the same as for symmetric spaces, namely four times the square of the central charge evaluated at the critical point. For non homogeneous geometries t...
متن کاملNo N = 4 Strings on Wolf Spaces 1
We generalize the standard N = 2 supersymmetric Kazama-Suzuki coset construction to the N = 4 case by requiring the non-linear (Goddard-Schwimmer) N = 4 quasi-superconformal algebra to be realized on cosets. The constraints that we find allow very simple geometrical interpretation and have the Wolf spaces as their natural solutions. Our results obtained by using components-level superconformal ...
متن کاملSome relations between $L^p$-spaces on locally compact group $G$ and double coset $Ksetminus G/H$
Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...
متن کامل2 . SYMPLECTIC EMBEDDINGS AND SPECIAL KÄHLER GEOMETRY OF CP ( n − 1 , 1 )
The embedding of the isometry group of the coset spaces SU(1, n) U(1) × SU(n) in Sp(2n + 2, R) is discussed. The knowledge of such embedding provides a tool for the determination of the holomorphic prepotential characterizing the special geometry of these manifolds and necessary in the superconformal tensor calculus of N = 2 supergravity. It is demonstrated that there exists certain embeddings ...
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 2009