Representation of Small Conformal Algebra in κ-basis

نویسنده

  • D. M. Belov
چکیده

In hep-th/0202087 it was argued that the operator L0 is bad defined in κ-basis as a kernel operator. Indeed, we show that L0 is a difference operator. We also find a representation of L1 and L−1 in a class of difference operators. On leave from Steklov Mathematical Institute, Moscow, 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

ar X iv : h ep - t h / 03 01 05 6 v 1 9 J an 2 00 3 κ - Deformations of D = 3 Conformal Versus Deformations of D = 4 AdS Symmetries

We describe the classical o(3, 2) r-matrices as generating the quantum deformations of either D=3 conformal algebra with mass-like deformation parameters or D=4 AdS algebra with dimensionless deformation parameters. We describe the quantization of classical o(3, 2) r-matrices via Drinfeld twist method which locates the deformation in the coalgebra sector. Further we obtain the quantum o(3, 2) a...

متن کامل

ar X iv : h ep - t h / 03 01 05 6 v 2 2 3 Ja n 20 03 κ - Deformations of D = 3 Conformal Versus Deformations of D = 4 AdS Symmetries

We describe the classical o(3, 2) r-matrices as generating the quantum deformations of either D=3 conformal algebra with mass-like deformation parameters or D=4 AdS algebra with dimensionless deformation parameters. We describe the quantization of classical o(3, 2) r-matrices via Drinfeld twist method which locates the deformation in the coalgebra sector. Further we obtain the quantum o(3, 2) a...

متن کامل

Κ-deformed Realisation of D = 4 Conformal Algebra *

We describe the generators of κ-conformal transformations, leaving invariant the κ-deformed d’Alembert equation. In such a way one obtains the conformal extension of the off-shell spin zero realization of κ-deformed Poincaré algebra. Finally the algebraic structure of κ-deformed conformal algebra is discussed. The paper is dedicated to the memory of Professor Jan Rzewuski and will appear in the...

متن کامل

A non-commutative Minkowskian spacetime from a quantum AdS algebra

A quantum deformation of the conformal algebra of the Minkowskian spacetime in (3 + 1) dimensions is identified with a deformation of the (4 + 1)-dimensional AdS algebra. Both Minkowskian and AdS first-order non-commutative spaces are explicitly obtained, and the former coincides with the well known κ-Minkowski space. Next, by working in the conformal basis, a new non-commutative Minkowskian sp...

متن کامل

A new Doubly Special Relativity theory from a quantum conformal algebra

The Poincaré–Weyl Hopf subalgebra of a recently introduced “mass-like” quantum conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, a new relativistic theory with two observerindependent scales (or DSR theory). Deformed momentum representation, finite boost transformations, range of rapidity, energy and momentum, as well as pos...

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 2002