Traces of Intertwining Operators for the Yangian Double
نویسنده
چکیده
The traces over infinite dimensional representations of the central extended Yangian double for the product of operators which intertwine these representations are calculated. For the special combinations of the intertwining operators the traces are identified with form factors of local operators in SU(2)-invariant Thirring model. This identification is based on the identities which are deformed analogs of the Gauss-Manin connection identities for the hyperelliptic curves. E-mail: [email protected] E-mail: [email protected] E-mail: [email protected]
منابع مشابه
Free Field Representation of Level-k Yangian Double DY (sl2)k and Deformation of Wakimoto Modules
Free field representation of level-k(6 = 0,−2) Yangian double DY (sl2)k and a corresponding deformation of Wakimoto modules are presented. We also realize two types of vertex operators intertwining these modules. † Yukawa fellow ⋆ E-mail: [email protected]
متن کاملOn the analytic properties of intertwining operators I: global normalizing factors
We provide a uniform estimate for the $L^1$-norm (over any interval of bounded length) of the logarithmic derivatives of global normalizing factors associated to intertwining operators for the following reductive groups over number fields: inner forms of $operatorname{GL}(n)$; quasi-split classical groups and their similitude groups; the exceptional group $G_2$. This estimate is a key in...
متن کاملCoinvariants for Yangian Doubles and Quantum Knizhnik-zamolodchikov Equations
We present a quantum version of the construction of the KZ system of equations as a flat connection on the spaces of coinvariants of representations of tensor products of Kac-Moody algebras. We consider here representations of a tensor product of Yangian doubles and compute the coinvariants of a deformation of the subalgebra generated by the regular functions of a rational curve with marked poi...
متن کاملCaractérisation des paramètres d'Arthur, une remarque
In The endoscopic classification of representations, J. Arthur has proved the Langlands' classification for discrete series of p-adic classical groups. This uses endoscopy and twisted endoscopy. In this very short note, we remark that the normalization $rmgrave{a}$ la Langlands-Shahidi of the intertwining operators, allows to avoid endoscopy. This is based on the intertwini...
متن کاملBaxter Q-operators for Integrable Dst Chain
Following the procedure, described in the paper [9], for the integrable DST chain we construct Baxter Q-operators [1] as the traces of monodromy of some M-operators, that act in quantum and auxiliary spaces. Within this procedure we obtain two basic M-operators and derive some functional relations between them such as intertwining relations and wronskian-type relations between two basic Q-opera...
متن کامل