Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sigma Models in Supergravity: Bianchi type IX Instantons and Cosmologies

We find instanton/cosmological solutions with biaxial Bianchi-IX symmetry, involving nontrivial spatial dependence of the CP and CP -sigma-models coupled to gravity. Such manifolds arise in N = 1, d = 4 supergravity with supermatter actions and hence the solutions can be embedded in supergravity. There is a natural way in which the standard coordinates of these manifolds can be mapped into the ...

متن کامل

Poisson-Lie T-Duality and Bianchi Type Algebras

All Bianchi bialgebras have been obtained. By introducing a non-degenerate adjoint invariant inner product over these bialgebras the associated Drinfeld doubles have been constructed, then by calculating the coupling matrices for these bialgebras several σ-models with Poisson-Lie symmetry have been obtained. Two simple examples as prototypes of Poisson-Lie dual models have been given. E-mail: j...

متن کامل

Discrete Euler–Poincaré and Lie–Poisson equations

In this paper, discrete analogues of Euler–Poincaré and Lie–Poisson reduction theory are developed for systems on finite dimensional Lie groupsG with Lagrangians L : TG→ R that areG-invariant. These discrete equations provide ‘reduced’ numerical algorithms which manifestly preserve the symplectic structure. The manifold G×G is used as an approximation of TG, and a discrete Langragian L : G×G→ R...

متن کامل

Hamiltonian reduction of Bianchi Cosmologies

It was noted recently that the ADM-diffeomorphism-constraint does not generate all observed symmetries for several Bianchi-models. We will suggest not to use the ADM-constraint restricted to homogeneous variables, but some equivalent which is derived from a restricted action principle. This will generate all homogeneity preserving diffeomorphisms, which will be shown to be automorphism generati...

متن کامل

Scale factor duality in string Bianchi cosmologies

We apply the scale factor duality transformations introduced in the context of the effective string theory to the anisotropic Bianchi-type models. We find dual models for all the Bianchi-types [except for types V III and IX] and construct for each of them its explicit form starting from the exact original solution of the field equations. It is emphasized that the dual Bianchi class B models req...

متن کامل

ذخیره 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: Journal of High Energy Physics

سال: 2020

ISSN: 1029-8479

DOI: 10.1007/jhep04(2020)068