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Kim, Sung-Soo; Yagi, Futoshi

5d \(E_n\) Seiberg-Witten curve via toric-like diagram. (English) Zbl 1388.81849

J. High Energy Phys. 2015, No. 6, Paper No. 82, 63 p. (2015).

Cited in 24 Documents

MSC:

81T60 Supersymmetric field theories in quantum mechanics

Keywords:

supersymmetric gauge theory; brane dynamics in gauge theories; global symmetries

Software:

GitHub; LieART; Susyno
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Full Text: DOI arXiv

References:

[1] E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys.B 500 (1997) 3 [hep-th/9703166] [INSPIRE]. · Zbl 0934.81066 · doi:10.1016/S0550-3213(97)00416-1
[2] A. Brandhuber, N. Itzhaki, J. Sonnenschein, S. Theisen and S. Yankielowicz, On the M-theory approach to (compactified) 5D field theories, Phys. Lett.B 415 (1997) 127 [hep-th/9709010] [INSPIRE]. · doi:10.1016/S0370-2693(97)01249-5
[3] O. Aharony, A. Hanany and B. Kol, Webs of (p, q) five-branes, five-dimensional field theories and grid diagrams, JHEP01 (1998) 002 [hep-th/9710116] [INSPIRE]. · doi:10.1088/1126-6708/1998/01/002
[4] I. Brunner and A. Karch, Branes and six-dimensional fixed points, Phys. Lett.B 409 (1997) 109 [hep-th/9705022] [INSPIRE]. · doi:10.1016/S0370-2693(97)00935-0
[5] O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, Nucl. Phys.B 504 (1997) 239 [hep-th/9704170] [INSPIRE]. · Zbl 0979.81591 · doi:10.1016/S0550-3213(97)00472-0
[6] N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett.B 388 (1996) 753 [hep-th/9608111] [INSPIRE]. · doi:10.1016/S0370-2693(96)01215-4
[7] H.-C. Kim, S.-S. Kim and K. Lee, 5-dim superconformal index with enhanced Englobal symmetry, JHEP10 (2012) 142 [arXiv:1206.6781] [INSPIRE]. · Zbl 1397.81382 · doi:10.1007/JHEP10(2012)142
[8] C. Hwang, J. Kim, S. Kim and J. Park, General instanton counting and 5d SCFT, arXiv:1406.6793 [INSPIRE]. · Zbl 1388.81331
[9] V. Mitev, E. Pomoni, M. Taki and F. Yagi, Fiber-base duality and global symmetry enhancement, JHEP04 (2015) 052 [arXiv:1411.2450] [INSPIRE]. · Zbl 1388.81867 · doi:10.1007/JHEP04(2015)052
[10] S. Katz, P. Mayr and C. Vafa, Mirror symmetry and exact solution of 4D N = 2 gauge theories: 1, Adv. Theor. Math. Phys.1 (1998) 53 [hep-th/9706110] [INSPIRE].
[11] L. Bao, E. Pomoni, M. Taki and F. Yagi, M 5-branes, toric diagrams and gauge theory duality, JHEP04 (2012) 105 [arXiv:1112.5228] [INSPIRE]. · Zbl 1348.81397 · doi:10.1007/JHEP04(2012)105
[12] L. Bao, E. Pomoni, M. Taki and F. Yagi, M 5-branes, toric diagrams and gauge theory duality, Int. J. Mod. Phys. Conf. Ser.21 (2013) 136 [INSPIRE]. · doi:10.1142/S2010194513009495
[13] J.A. Minahan and D. Nemeschansky, An N = 2 superconformal fixed point with E6global symmetry, Nucl. Phys.B 482 (1996) 142 [hep-th/9608047] [INSPIRE]. · Zbl 0925.81309 · doi:10.1016/S0550-3213(96)00552-4
[14] J.A. Minahan and D. Nemeschansky, Superconformal fixed points with Englobal symmetry, Nucl. Phys.B 489 (1997) 24 [hep-th/9610076] [INSPIRE]. · Zbl 0925.81382 · doi:10.1016/S0550-3213(97)00039-4
[15] J.A. Minahan, D. Nemeschansky and N.P. Warner, Investigating the BPS spectrum of noncritical Enstrings, Nucl. Phys.B 508 (1997) 64 [hep-th/9705237] [INSPIRE]. · Zbl 0925.81282 · doi:10.1016/S0550-3213(97)80004-1
[16] T. Eguchi and K. Sakai, Seiberg-Witten curve for the E string theory, JHEP05 (2002) 058 [hep-th/0203025] [INSPIRE]. · doi:10.1088/1126-6708/2002/05/058
[17] T. Eguchi and K. Sakai, Seiberg-Witten curve for E string theory revisited, Adv. Theor. Math. Phys.7 (2004) 419 [hep-th/0211213] [INSPIRE]. · Zbl 1065.81105 · doi:10.4310/ATMP.2003.v7.n3.a3
[18] N.C. Leung and C. Vafa, Branes and toric geometry, Adv. Theor. Math. Phys.2 (1998) 91 [hep-th/9711013] [INSPIRE]. · Zbl 0914.14024
[19] T. Eguchi and H. Kanno, Five-dimensional gauge theories and local mirror symmetry, Nucl. Phys.B 586 (2000) 331 [hep-th/0005008] [INSPIRE]. · Zbl 1043.81714 · doi:10.1016/S0550-3213(00)00375-8
[20] F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N = 2 superconformal field theories, JHEP09 (2009) 052 [arXiv:0906.0359] [INSPIRE]. · doi:10.1088/1126-6708/2009/09/052
[21] D. Gaiotto, N = 2 dualities, JHEP08 (2012) 034 [arXiv:0904.2715] [INSPIRE]. · Zbl 1397.81362 · doi:10.1007/JHEP08(2012)034
[22] O. DeWolfe, A. Hanany, A. Iqbal and E. Katz, Five-branes, seven-branes and five-dimensional Enfield theories, JHEP03 (1999) 006 [hep-th/9902179] [INSPIRE]. · Zbl 0965.81091 · doi:10.1088/1126-6708/1999/03/006
[23] M. Taki, Seiberg duality, 5d SCFTs and Nekrasov partition functions, arXiv:1401.7200 [INSPIRE].
[24] L. Bao, V. Mitev, E. Pomoni, M. Taki and F. Yagi, Non-Lagrangian theories from brane junctions, JHEP01 (2014) 175 [arXiv:1310.3841] [INSPIRE]. · Zbl 1333.83014 · doi:10.1007/JHEP01(2014)175
[25] H. Hayashi, H.-C. Kim and T. Nishinaka, Topological strings and 5d TNpartition functions, JHEP06 (2014) 014 [arXiv:1310.3854] [INSPIRE]. · doi:10.1007/JHEP06(2014)014
[26] H. Hayashi and G. Zoccarato, Exact partition functions of Higgsed 5d TNtheories, JHEP01 (2015) 093 [arXiv:1409.0571] [INSPIRE]. · Zbl 1388.81327 · doi:10.1007/JHEP01(2015)093
[27] O. Bergman and G. Zafrir, Lifting 4d dualities to 5d, JHEP04 (2015) 141 [arXiv:1410.2806] [INSPIRE]. · Zbl 1388.81706 · doi:10.1007/JHEP04(2015)141
[28] M.-X. Huang, A. Klemm and M. Poretschkin, Refined stable pair invariants for E-, M - and [p, q]-strings, JHEP11 (2013) 112 [arXiv:1308.0619] [INSPIRE]. · Zbl 1342.81436 · doi:10.1007/JHEP11(2013)112
[29] R. Feger and T.W. Kephart, LieART — a Mathematica application for Lie algebras and representation theory, Comput. Phys. Commun.192 (2015) 166 [arXiv:1206.6379] [INSPIRE]. · Zbl 1375.68226 · doi:10.1016/j.cpc.2014.12.023
[30] LiE webpage, http://wwwmathlabo.univ-poitiers.fr/∼maavl/LiE/.
[31] LieLink webpage, https://github.com/teake/LieLink.
[32] R.M. Fonseca, Calculating the renormalisation group equations of a SUSY model with Susyno, Comput. Phys. Commun.183 (2012) 2298 [arXiv:1106.5016] [INSPIRE]. · doi:10.1016/j.cpc.2012.05.017
[33] A. Iqbal and C. Vafa, BPS degeneracies and superconformal index in diverse dimensions, Phys. Rev.D 90 (2014) 105031 [arXiv:1210.3605] [INSPIRE].
[34] H. Hayashi, Y. Tachikawa and K. Yonekura, Mass-deformed TNas a linear quiver, JHEP02 (2015) 089 [arXiv:1410.6868] [INSPIRE]. · Zbl 1387.81354 · doi:10.1007/JHEP02(2015)089
[35] M. Isachenkov, V. Mitev and E. Pomoni, Toda 3-point functions from topological strings II, arXiv:1412.3395 [INSPIRE]. · Zbl 1390.81548
[36] P.C. Argyres and N. Seiberg, S-duality in N = 2 supersymmetric gauge theories, JHEP12 (2007) 088 [arXiv:0711.0054] [INSPIRE]. · Zbl 1246.81102 · doi:10.1088/1126-6708/2007/12/088
[37] T. Eguchi and K. Maruyoshi, Penner type matrix model and Seiberg-Witten theory, JHEP02 (2010) 022 [arXiv:0911.4797] [INSPIRE]. · Zbl 1270.81165 · doi:10.1007/JHEP02(2010)022
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