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- Title
Cauchy formula and the character ring.
- Authors
Morozov, A.
- Abstract
Cauchy summation formula plays a central role in application of character calculus to many problems, from AGT-implied Nekrasov decomposition of conformal blocks to topological-vertex decompositions of link invariants. We briefly review the equivalence between Cauchy formula and expressibility of skew characters through the Littlewood-Richardson coefficients. As not-quite-a-trivial illustration we consider how this equivalence works in the case of plane partitions - at the simplest truly interesting level of just four boxes.
- Subjects
CAUCHY problem; INFINITESIMAL geometry; MATHEMATICAL functions; MATHEMATICAL analysis; REAL analysis (Mathematics)
- Publication
European Physical Journal C -- Particles & Fields, 2019, Vol 79, Issue 1, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-019-6598-6