Complexified Gravity in Noncommutative Spaces
نویسندگان
چکیده
منابع مشابه
Complexified Gravity in Noncommutative Spaces
The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed star product. An immediate consequence of this is that all fields get complexified. The only possible noncommutative Yang-Mills theory is the one with U(N) ...
متن کاملLocally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces
We outline the the geometry of locally anisotropic (la) superspaces and la–supergravity. The approach is backgrounded on the method of anholonomic superframes with associated nonlinear connection structure. Following the formalism of enveloping algebras and star product calculus we propose a model of gauge la–gravity on noncommutative spaces. The corresponding Seiberg–Witten maps are establishe...
متن کاملNoncommutative Gravity
Various approaches by the author and collaborators to define gravitational fluctuations associated with a noncommutative space are reviewed. Geometry of a noncommutative space is defined by the data (A, H,D) where A is a noncommutative involutive algebra, H is a separable Hilbert space and D a self-adjoint operator on H referred to as Dirac operator [1]. Geometry on Riemannian manifolds could b...
متن کاملPrescribing Ricci Curvature on Complexified Symmetric Spaces
The complexification of the compact group G is the group G whose Lie algebra is the complexification of the Lie algebra g of G and which satisfies π1(G ) = π1(G). The complexification G/K of G/K can be then identified (G-equivariantly) with the tangent bundle of G/K. We also remark that the Kähler form obtained in the Theorem is exact. This result has been proved in [9] for symmetric spaces of ...
متن کاملNoncommutative Gravity in Six Dimensions
A gauge theory of gravity is defined in 6 dimensional non–commutative space–time. The gauge group is the unitary group U(2, 2), which contains the homogeneous Lorentz group, SO(4, 2), in 6 dimensions as a subgroup. It is shown that, after the Seiberg– Witten map, in the corresponding theory the lowest order corrections are first order in the non–commutativity parameter θ. This is in contrast wi...
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: 2001
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200100393