W-symmetry, topological vertex and affine Yangian

0483955 - FZÚ 2018 RIV US eng J - Journal Article
Procházka, Tomáš
W-symmetry, topological vertex and affine Yangian.
Journal of High Energy Physics. Roč. 2016, č. 10 (2016), s. 1-73, č. článku 077. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR GBP201/12/G028
Institutional support: RVO:68378271
Keywords : conformal field theory * W symmetry * integrability * Yangian * topological string
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 6.063, year: 2016

We discuss the representation theory of the non-linear chiral algebra W1+infinity, of Gaberdiel and Gopakumar and its connection to the Yangian of <(u(1))over cap> whose presentation was given by Tsymbaliuk. The characters of completely degenerate representations of W1+infinity are given by the topological vertex. The Yangian picture provides an infinite number of commuting charges which can be explicitly diagonalized in W1+infinity highest weight representations. Many properties that are difficult to study in the W1+infinity picture turn out to have a simple combinatorial interpretation.
Permanent Link: http://hdl.handle.net/11104/0279126