Tetrahedron Equation, Weyl Group, and Quantum Dilogarithm

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

Zamolodchikov’s Tetrahedron Equation and Hidden Structure of Quantum Groups

The tetrahedron equation is a three-dimensional generalization of the Yang-Baxter equation. Its solutions define integrable three-dimensional lattice models of statistical mechanics and quantum field theory. Their integrability is not related to the size of the lattice, therefore the same solution of the tetrahedron equation defines different integrable models for different finite periodic cubi...

متن کامل

Cyclic Quantum Dilogarithm and Shift Operator

From the cyclic quantum dilogarithm the shift operator is constructed with q is a root of unit and the representation is given for the current algebra introduced by Faddeev et al. It is shown that the theta-function is factorizable also in this case by using the star-square equation of the Baxter-Bazhanov model. PACS. 11.10 Field theory. PACS. 02.10 Algebraic methods. PACS. 05.50 Lattice theory...

متن کامل

On cluster theory and quantum dilogarithm identities

These are expanded notes from three survey lectures given at the 14th International Conference on Representations of Algebras (ICRA XIV) held in Tokyo in August 2010. We first study identities between products of quantum dilogarithm series associated with Dynkin quivers following Reineke. We then examine similar identities for quivers with potential and link them to Fomin-Zelevinsky’s theory of...

متن کامل

The quantum dilogarithm and representations of quantum cluster varieties

To David Kazhdan for his 60th birthday " Loxadь sostoit iz trh neravnyh polovin " .

متن کامل

Quantum Group Representations and Baxter Equation

In this article we propose algebraic universal procedure for deriving ”fusion rules” and Baxter equation for any integrable model with Uq(ŝl2) symmetry of Quantum Inverse Scattering Method. Baxter Qoperator is got from the certain infinite dimensional representation of the Universal Rmatrix for Uq(ŝl2) affine algebra. The algebraic properties of Q-operator are examined.

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: Letters in Mathematical Physics

سال: 2014

ISSN: 0377-9017,1573-0530

DOI: 10.1007/s11005-014-0731-0