Quasi Modules for the Quantum Affine Vertex Algebra in Type A
Abstract
We consider the quantum affine vertex algebra V_{c}(gl_N) associated with the rational Rmatrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras A_c (gl_N) of the completed double Yangian {\widetilde{DY_{c}(gl_N)}} at the level {c\inC}, associated with the reflection equation, and we employ their structure to construct examples of quasi V_{c}(gl_N)modules. Finally, we use the quasi module map, together with the explicit description of the center of V_{c}(gl_N), to obtain formulae for families of central elements in the completed algebra {\widetilde{A_c (gl_N)}.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 February 2019
 DOI:
 10.1007/s00220019032910
 arXiv:
 arXiv:1707.09542
 Bibcode:
 2019CMaPh.365.1049K
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematical Physics
 EPrint:
 24 pages