A braided interpretation of fractional supersymmetry in higher dimensions

نویسنده

  • R. S. Dunne
چکیده

A many variable q-calculus is introduced using the formalism of braided covector algebras. Its properties when certain of its deformation parameters are roots of unity are discussed in detail, and related to fractional supersymmetry. The special cases of two dimensional supersymmetry and fractional supersymmetry are developed in detail. PACS 02.10T, 11.30P, 03.65F. e-mail: [email protected] 1

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

Braided Structure in 4 - dimensional conformal Quantum Field

Higher dimensional conformal QFT possesses an interesting braided structure which, different from the d=1+1 models, is restricted to the timelike region and therefore easily escapes euclidean action methods. It lies behind the spectrum of anomalous dimensions which may be viewed as a kind of substitute for a missing particle interpretation in the presence

متن کامل

Beyond Supersymmetry and Quantum Symmetry (an Introduction to Braided-groups and Braided-matrices)

This is a systematic introduction for physicists to the theory of algebras and groups with braid statistics, as developed over the last three years by the author. There are braided lines, braided planes, braided matrices and braided groups all in analogy with superlines, superplanes etc. The main idea is that the bose-fermi ±1 statistics between Grassmannn coordinates is now replaced by a gener...

متن کامل

Theoretical Foundations of Fractional Supersymmetry

Fractional supersymmetry denotes a generalisation of supersymmetry which may be constructed using a single real generalised Grassmann variable, θ = θ̄, θn = 0, for arbitrary integer n = 2, 3, .... An explicit formula is given in the case of general n for the transformations that leave the theory invariant, and it is shown that these transformations possess interesting group properties. It is sho...

متن کامل

Fractional superstrings with space-time critical dimensions four and six.

We propose possible new string theories based on local world-sheet symmetries corresponding to extensions of the Virasoro algebra by fractional spin currents. They have critical central charges c = 6(K + 8)/(K + 2) and Minkowski space-time dimensions D = 2+16/K for K ≥ 2 an integer. We present evidence for their existence by constructing modular invariant partition functions and the massless pa...

متن کامل

Parabose algebra as generalized conformal supersymmetry

The form of realistic space-time supersymmetry is fixed, by HaagLopuszanski-Sohnius theorem, either to the familiar form of Poincare supersymmetry or, in massless case, to that of conformal supersymmetry. We question necessity for such strict restriction in the context of theories with broken symmetries. In particular, we consider parabose N = 4 algebra as an extension of conformal supersymmetr...

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 1997