slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn
Generalizations of the AGT correspondence between 4D N=2 SU(2) supersymmetric gauge theory on C2 with Ω-deformation and 2D Liouville conformal field theory include a correspondence between 4D N=2 SU(N) supersymmetric gauge theories, N=2,3,…, on C2/Zn, n=2,3,…, with Ω-deformation and 2D conformal fie...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-07-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321320301243 |
| _version_ | 1818029733608161280 |
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| author | Omar Foda Nicholas Macleod Masahide Manabe Trevor Welsh |
| author_facet | Omar Foda Nicholas Macleod Masahide Manabe Trevor Welsh |
| author_sort | Omar Foda |
| collection | DOAJ |
| description | Generalizations of the AGT correspondence between 4D N=2 SU(2) supersymmetric gauge theory on C2 with Ω-deformation and 2D Liouville conformal field theory include a correspondence between 4D N=2 SU(N) supersymmetric gauge theories, N=2,3,…, on C2/Zn, n=2,3,…, with Ω-deformation and 2D conformal field theories with WN,npara (n-th parafermion WN) symmetry and slˆ(n)N symmetry. In this work, we trivialize the factor with WN,npara symmetry in the 4D SU(N) instanton partition functions on C2/Zn (by using specific choices of parameters and imposing specific conditions on the N-tuples of Young diagrams that label the states), and extract the 2D slˆ(n)N WZW conformal blocks, n=2,3,…, N=1,2,…. |
| first_indexed | 2024-12-10T05:24:23Z |
| format | Article |
| id | doaj.art-740baefa86714aaeb91c4d097e3e32a1 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-10T05:24:23Z |
| publishDate | 2020-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-740baefa86714aaeb91c4d097e3e32a12022-12-22T02:00:44ZengElsevierNuclear Physics B0550-32132020-07-01956115038slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/ZnOmar Foda0Nicholas Macleod1Masahide Manabe2Trevor Welsh3School of Mathematics and Statistics, University of Melbourne, Royal Parade, Parkville, Victoria 3010, AustraliaSchool of Mathematics and Statistics, University of Melbourne, Royal Parade, Parkville, Victoria 3010, AustraliaCorresponding author.; School of Mathematics and Statistics, University of Melbourne, Royal Parade, Parkville, Victoria 3010, AustraliaSchool of Mathematics and Statistics, University of Melbourne, Royal Parade, Parkville, Victoria 3010, AustraliaGeneralizations of the AGT correspondence between 4D N=2 SU(2) supersymmetric gauge theory on C2 with Ω-deformation and 2D Liouville conformal field theory include a correspondence between 4D N=2 SU(N) supersymmetric gauge theories, N=2,3,…, on C2/Zn, n=2,3,…, with Ω-deformation and 2D conformal field theories with WN,npara (n-th parafermion WN) symmetry and slˆ(n)N symmetry. In this work, we trivialize the factor with WN,npara symmetry in the 4D SU(N) instanton partition functions on C2/Zn (by using specific choices of parameters and imposing specific conditions on the N-tuples of Young diagrams that label the states), and extract the 2D slˆ(n)N WZW conformal blocks, n=2,3,…, N=1,2,….http://www.sciencedirect.com/science/article/pii/S0550321320301243 |
| spellingShingle | Omar Foda Nicholas Macleod Masahide Manabe Trevor Welsh slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn Nuclear Physics B |
| title | slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn |
| title_full | slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn |
| title_fullStr | slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn |
| title_full_unstemmed | slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn |
| title_short | slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn |
| title_sort | sl n n wzw conformal blocks from su n instanton partition functions on c2 zn |
| url | http://www.sciencedirect.com/science/article/pii/S0550321320301243 |
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