Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2016)077
Keywords
Conformal and W Symmetry; Higher Spin Symmetry; Field Theories in Lower Dimensions
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Funding
- Grant Agency of the Czech Republic [P201/12/G028]
- DFG Transregional Collaborative Research Centre [TRR 33]
- DFG cluster of excellence Origin and Structure of the Universe
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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, once translated to the Yangian picture.
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