On universal quantum dimensions
We represent in the universal form restricted one-instanton partition function of supersymmetric Yang–Mills theory. It is based on the derivation of universal expressions for quantum dimensions (universal characters) of Cartan powers of adjoint and some other series of irreps of simple Lie algebras....
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| Language: | English |
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Elsevier
2017-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317301955 |
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doaj-0853bfb365d7405b8738a4afa337fe092020-11-25T00:12:20ZengElsevierNuclear Physics B0550-32131873-15622017-08-01921C23624910.1016/j.nuclphysb.2017.05.021On universal quantum dimensionsR.L. MkrtchyanWe represent in the universal form restricted one-instanton partition function of supersymmetric Yang–Mills theory. It is based on the derivation of universal expressions for quantum dimensions (universal characters) of Cartan powers of adjoint and some other series of irreps of simple Lie algebras. These formulae also provide a proof of formulae for universal quantum dimensions for low-dimensional representations, needed in derivation of universal knot polynomials (i.e. colored Wilson averages of Chern–Simons theory on 3d sphere). As a check of the (complicated) formulae for universal quantum dimensions we prove numerically Deligne's hypothesis on universal characters for symmetric cube of adjoint representation.http://www.sciencedirect.com/science/article/pii/S0550321317301955 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R.L. Mkrtchyan |
| spellingShingle |
R.L. Mkrtchyan On universal quantum dimensions Nuclear Physics B |
| author_facet |
R.L. Mkrtchyan |
| author_sort |
R.L. Mkrtchyan |
| title |
On universal quantum dimensions |
| title_short |
On universal quantum dimensions |
| title_full |
On universal quantum dimensions |
| title_fullStr |
On universal quantum dimensions |
| title_full_unstemmed |
On universal quantum dimensions |
| title_sort |
on universal quantum dimensions |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 1873-1562 |
| publishDate |
2017-08-01 |
| description |
We represent in the universal form restricted one-instanton partition function of supersymmetric Yang–Mills theory. It is based on the derivation of universal expressions for quantum dimensions (universal characters) of Cartan powers of adjoint and some other series of irreps of simple Lie algebras. These formulae also provide a proof of formulae for universal quantum dimensions for low-dimensional representations, needed in derivation of universal knot polynomials (i.e. colored Wilson averages of Chern–Simons theory on 3d sphere). As a check of the (complicated) formulae for universal quantum dimensions we prove numerically Deligne's hypothesis on universal characters for symmetric cube of adjoint representation. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321317301955 |
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AT rlmkrtchyan onuniversalquantumdimensions |
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