%0 Journal Article %1 Lee20143d %A Lee, Sungjay %A Yamazaki, Masahito %D 2014 %J Journal of High Energy Physics %K chern-simons, localization %N 12 %R 10.1007/jhep12(2013)035 %T 3d Chern-Simons Theory from M5-branes %U http://dx.doi.org/10.1007/jhep12(2013)035 %V 2013 %X We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M\_3, where M\_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G\_C Chern-Simons theory on M\_3, where G\_C is the complexification of G. This gives a direct derivation of the appearance of the Chern-Simons theory from the compactification of the 6d (2,0) theory, confirms the predictions from the 3d/3d correspondence for G=SU(N), and suggests the generalization of the correspondence to more general gauge groups.

@article{Lee20143d, abstract = {{We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M\_3, where M\_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G\_C Chern-Simons theory on M\_3, where G\_C is the complexification of G. This gives a direct derivation of the appearance of the Chern-Simons theory from the compactification of the 6d (2,0) theory, confirms the predictions from the 3d/3d correspondence for G=SU(N), and suggests the generalization of the correspondence to more general gauge groups.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Lee, Sungjay and Yamazaki, Masahito}, biburl = {https://www.bibsonomy.org/bibtex/2fc00c2f0d8e2b1c590ebd37ec325b1eb/acastro}, citeulike-article-id = {12342152}, citeulike-linkout-0 = {http://arxiv.org/abs/1305.2429}, citeulike-linkout-1 = {http://arxiv.org/pdf/1305.2429}, citeulike-linkout-2 = {http://dx.doi.org/10.1007/jhep12(2013)035}, day = 1, doi = {10.1007/jhep12(2013)035}, eprint = {1305.2429}, interhash = {730fc01c6f7558019a7243d89bc18e09}, intrahash = {fc00c2f0d8e2b1c590ebd37ec325b1eb}, issn = {1029-8479}, journal = {Journal of High Energy Physics}, keywords = {chern-simons, localization}, month = jul, number = 12, posted-at = {2015-07-28 15:20:18}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{3d Chern-Simons Theory from M5-branes}}, url = {http://dx.doi.org/10.1007/jhep12(2013)035}, volume = 2013, year = 2014 }