Baxter Q-operator from quantum K-theory

نویسندگان
چکیده

برای دانلود رایگان 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

From Baxter operator to Archimedean Hecke algebra

In this note we introduce Baxter integral Q-operators for finite-dimensional Lie algebras gll+1 and so2l+1. Corresponding Whittaker functions are eigenfunctions of the Q-operators with the eigenvalues expressed in terms of Gamma-functions. This property is one of the manifestations of an interesting connection between MellinBarnes and Givental integral representations of Whittaker functions. Th...

متن کامل

Spectral Theory from the Second-Order q-Difference Operator

Spectral theory from the second-order q-difference operator Δ q is developed. We give an integral representation of its inverse, and the resolvent operator is obtained. As application , we give an analogue of the Poincare inequality. We introduce the Zeta function for the operator Δ q and we formulate some of its properties. In the end, we obtain the spectral measure. 1. Basic definitions Consi...

متن کامل

q-Differential Operator Representation of the Quantum

A representation of the quantum superalgebra Uq(sl(M + 1|N + 1)) is constructed based on the q-differential operators acting on the coherent states parameterized by coordinates. These coordinates correspond to the local ones of the flag manifold. This realization provides us with a guide to construct the free field realization for the quantum affine superalgebra Uq(ŝl(M + 1|N + 1)) at arbitrary...

متن کامل

Rota–baxter Algebras in Renormalization of Perturbative Quantum Field Theory

Recently, the theory of renormalization in perturbative quantum field theory underwent some exciting new developments. Kreimer discovered an organization of Feynman graphs into combinatorial Hopf algebras. The process of renormalization is captured by a factorization theorem for regularized Hopf algebra characters. Hereby the notion of Rota–Baxter algebras enters the scene. In this note we revi...

متن کامل

8 The Baxter ’ s Q - operator for the W - algebra W N November 10 , 2008

The q-oscillator representation for the Borel subalgebra of the affine symmetry Uq(ŝlN) is presented. By means of this q-oscillator representation, we give the free field realizations of the Baxter’sQ-operator Qj(t),Qj(t) for the W -algebraWN . We give the functional relations of the T -Q operators, including the higher-rank generaliztion of the Baxter’s T -Q relation.

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: Advances in Mathematics

سال: 2020

ISSN: 0001-8708

DOI: 10.1016/j.aim.2019.106919