On elementary proof of AGT relations from six dimensions
The actual definition of the Nekrasov functions participating in the AGT relations implies a peculiar choice of contours in the LMNS and Dotsenko–Fateev integrals. Once made explicit and applied to the original triply-deformed (6-dimensional) version of these integrals, this approach reduces the AGT...
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Elsevier
2016-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316001775 |
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doaj-7d81cd44d0cd4f62802f6185e723b39a2020-11-25T00:04:03ZengElsevierPhysics Letters B0370-26931873-24452016-05-01756C20821110.1016/j.physletb.2016.03.006On elementary proof of AGT relations from six dimensionsA. Mironov0A. Morozov1Y. Zenkevich2Lebedev Physics Institute, Moscow 119991, RussiaITEP, Moscow 117218, RussiaITEP, Moscow 117218, RussiaThe actual definition of the Nekrasov functions participating in the AGT relations implies a peculiar choice of contours in the LMNS and Dotsenko–Fateev integrals. Once made explicit and applied to the original triply-deformed (6-dimensional) version of these integrals, this approach reduces the AGT relations to symmetry in q1,2,3, which is just an elementary identity for an appropriate choice of the integration contour (which is, however, a little non-traditional). We illustrate this idea with the simplest example of N=(1,1) U(1) SYM in six dimensions, however all other cases can be evidently considered in a completely similar way.http://www.sciencedirect.com/science/article/pii/S0370269316001775 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Mironov A. Morozov Y. Zenkevich |
| spellingShingle |
A. Mironov A. Morozov Y. Zenkevich On elementary proof of AGT relations from six dimensions Physics Letters B |
| author_facet |
A. Mironov A. Morozov Y. Zenkevich |
| author_sort |
A. Mironov |
| title |
On elementary proof of AGT relations from six dimensions |
| title_short |
On elementary proof of AGT relations from six dimensions |
| title_full |
On elementary proof of AGT relations from six dimensions |
| title_fullStr |
On elementary proof of AGT relations from six dimensions |
| title_full_unstemmed |
On elementary proof of AGT relations from six dimensions |
| title_sort |
on elementary proof of agt relations from six dimensions |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 1873-2445 |
| publishDate |
2016-05-01 |
| description |
The actual definition of the Nekrasov functions participating in the AGT relations implies a peculiar choice of contours in the LMNS and Dotsenko–Fateev integrals. Once made explicit and applied to the original triply-deformed (6-dimensional) version of these integrals, this approach reduces the AGT relations to symmetry in q1,2,3, which is just an elementary identity for an appropriate choice of the integration contour (which is, however, a little non-traditional). We illustrate this idea with the simplest example of N=(1,1) U(1) SYM in six dimensions, however all other cases can be evidently considered in a completely similar way. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269316001775 |
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AT amironov onelementaryproofofagtrelationsfromsixdimensions AT amorozov onelementaryproofofagtrelationsfromsixdimensions AT yzenkevich onelementaryproofofagtrelationsfromsixdimensions |
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