Harmonic potentials for quaternionic symmetric σ-models

نویسنده

  • A. Galperin
چکیده

We construct N = 2 superspace Lagrangians for quaternionic symmetric σmodels G/H × Sp(1), or equivalently, quaternionic potentials for these symmetric spaces. They are homogeneous H invariant polynomials of order 4 which are similar to the quadratic Casimir operator of H. The construction is based on an identity for the structure constants specific for quaternionic symmetric spaces. † On leave from the Laboratory of Theoretical Physics, JINR, Dubna, Russia ‡ On leave from P.N. Lebedev Physical Institute, Theoretical Department, 117924 Moscow, Leninsky prospect 53, Russia

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Harmonic space and quaternionic manifolds

We find a principle of harmonic analyticity underlying the quaternionic (quaternionKähler) geometry and solve the differential constraints which define this geometry. To this end the original 4n-dimensional quaternionic manifold is extended to a biharmonic space. The latter includes additional harmonic coordinates associated with both the tangent local Sp(1) group and an extra rigid SU(2) group...

متن کامل

Harmonic Maps with Prescribed Singularities on Unbounded Domains

The Einstein/Abelian-Yang-Mills Equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities φ : R \Σ → H C into the (k+1)-dimensional complex hyperbolic space. In this paper, we prove the existence and uniqueness of harmonic maps with prescribed singularities φ : R \ Σ → H, where Σ is an unbounded smooth closed submanifold of R of codimension at...

متن کامل

Harmonic Superspace, Minimal Unitary Representations and Quasiconformal Groups

We show that there is a remarkable connection between the harmonic superspace (HSS) formulation of N = 2, d = 4 supersymmetric quaternionic Kähler sigma models that couple to N = 2 supergravity and the minimal unitary representations of their isometry groups. In particular, for N = 2 sigma models with quaternionic symmetric target spaces of the form G/H × SU(2) we establish a one-to-one mapping...

متن کامل

Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces

and Applied Analysis 3 We will prove this theorem by contradiction. The idea is similar to the proof of Theorem 1. Suppose ψ is a rotationally symmetric harmonic diffeomorphism from P(a) onto D∗ with the metric σ 2 d|u|, with the form ψ = g(r)e, then substituting ψ, σ 2 to u, σ in (2), respectively, we can get

متن کامل

Special Bertrand Curves in semi-Euclidean space E4^2 and their Characterizations

In [14] Matsuda and Yorozu.explained that there is no special Bertrand curves in Eⁿ and they new kind of Bertrand curves called (1,3)-type Bertrand curves Euclidean space. In this paper , by using the similar methods given by Matsuda and Yorozu [14], we obtain that bitorsion of the quaternionic curve is not equal to zero in semi-Euclidean space E4^2. Obtain (N,B2) type quaternionic Bertrand cur...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1992