Holomorphic Factorization for a Quantum Tetrahedron
نویسندگان
چکیده
منابع مشابه
Surjective factorization of holomorphic mappings
We characterize the holomorphic mappings f between complex Banach spaces that may be written in the form f = T ◦ g, where g is another holomorphic mapping and T belongs to a closed surjective operator ideal.
متن کاملPhysical boundary state for the quantum tetrahedron
We consider stability under evolution as a criterion to select a physical boundary state for the spinfoam formalism. As an example, we apply it to the simplest spinfoam defined by a single quantum tetrahedron and solve the associated eigenvalue problem at leading order in the large spin limit. We show that this fixes uniquely the free parameters entering the boundary state. Remarkably, the stat...
متن کاملThe Quantum Tetrahedron in 3 and 4
Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in thèquantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries of the tetrahedron in R 3 , we use geometric quantization to obtain a Hilbert space of states. This Hilbert space has a basis of states labeled by the areas of the faces of the tetrahedron together wi...
متن کاملA Factorization Theorem for Holomorphic Functions of Polynomial Growth in a Half Plane
A function F(p), p = 0, and if it is bounded by a polynomial uniformly in every half plane Rep^Q. The significance of the H+ class is due to an important theorem of L. Schwartz [l ] ; this theorem tells us tha t H+ characterizes the collection of Laplace transforms of certain distributions in D'+ (here, as in what follow...
متن کاملHolomorphic Factorization of Determinants of Laplacians Using Quasi-fuchsian Uniformization
For a quasi-Fuchsian group Γ with ordinary set Ω, and ∆n the Laplacian on n-differentials on Γ\Ω, we define a notion of a Bers dual basis φ1, . . . , φ2d for ker∆n. We prove that det∆n/det〈φj , φk〉, is, up to an anomaly computed by Takhtajan and the second author in [TT03a], the modulus squared of a holomorphic function F (n), where F (n) is a quasi-Fuchsian analogue of the Selberg zeta Z(n). T...
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: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1036-5