A Yangian double for the AdS/CFT classical r-matrix

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

A Yangian Double for the AdS/CFT Classical r-matrix

We express the classical r-matrix of AdS/CFT in terms of tensor products involving an infinite family of generators, which takes a form suggestive of the universal expression obtained from a Yangian double. This should provide an insight into the structure of the infinite dimensional symmetry algebra underlying the integrability of the model, and give a clue to the construction of its universal...

متن کامل

What a Classical r-Matrix Really Is

Abstract The notion of classical r-matrix is re-examined, and a definition suitable to differential (-difference) Lie algebras, – where the standard definitions are shown to be deficient, – is proposed, the notion of an O-operator. This notion has all the natural properties one would expect form it, but lacks those which are artifacts of finite-dimensional isomorpisms such as not true in differ...

متن کامل

The Classical R-matrix for the Relativistic Ruijsenaars-schneider System

We compute the classical r-matrix for the relativistic generalization of the Calogero-Moser model, or Ruijsenaars-Schneider model, at all values of the speed-of-light parameter λ. We connect it with the non-relativistic Calogero-Moser r-matrix (λ → −1) and the λ = 1 sine-Gordon soliton limit.

متن کامل

The classical r - matrix in a geometric framework ∗

We use a Riemannian (or pseudo-Riemannian) geometric framework to formulate the theory of the classical r-matrix for integrable systems. In this picture the r-matrix is related to a fourth rank tensor, named the r-tensor, on the configuration space. The r-matrix itself carries one connection type index and three tensorial indices. Being defined on the configuration space it has no momentum depe...

متن کامل

q-AFFINE-YANGIAN DOUBLE CORRESPONDENCE AND FREE BOSON REPRESENTATION OF YANGIAN DOUBLE WITH ARBITRARY LEVEL

We derive a free boson representation of the Yangian double DY~(slN ) with arbitrary level k using the observation that there is a correspondence between the q-affine algebra and Yangian double associated with the same Cartan matrix. Vertex operator and screening currents are not obtained in the same way. Date: January 1997. 0 FREE BOSON REPRESENTATION OF YANGIAN DOUBLE 1

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: 2007

ISSN: 1029-8479

DOI: 10.1088/1126-6708/2007/06/083