General omega deformations from closed string backgrounds. (English) Zbl 1348.81383
Summary: An important extension to the recent construction of the fluxtrap background is presented. The fluxtrap is a closed string background based on the Melvin solution corresponding to the Omega deformation of flat space. In this note, we introduce the mechanisms to extend it from \(\varepsilon_1=-\varepsilon_2 \in\mathbb R\) to more general values of \(\varepsilon_1\) and \(\varepsilon_2\) in \(\mathbb C\).
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
References:
| [1] | G.W. Moore, N. Nekrasov and S. Shatashvili, Integrating over Higgs branches, Commun. Math. Phys.209 (2000) 97 [hep-th/9712241] [INSPIRE]. · Zbl 0981.53082 · doi:10.1007/PL00005525 |
| [2] | A. Lossev, N. Nekrasov and S.L. Shatashvili, Testing Seiberg-Witten solution, hep-th/9801061 [INSPIRE]. · Zbl 1071.81577 |
| [3] | N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys.7 (2004) 831 [hep-th/0206161] [INSPIRE]. · Zbl 1056.81068 |
| [4] | N.A. Nekrasov and S.L. Shatashvili, Quantization of integrable systems and four dimensional gauge theories, arXiv:0908.4052 [INSPIRE]. · Zbl 1214.83049 |
| [5] | N. Nekrasov and E. Witten, The Ω deformation, branes, integrability and Liouville theory, JHEP09 (2010) 092 [arXiv:1002.0888] [INSPIRE]. · Zbl 1291.81265 · doi:10.1007/JHEP09(2010)092 |
| [6] | T.J. Hollowood, A. Iqbal and C. Vafa, Matrix models, geometric engineering and elliptic genera, JHEP03 (2008) 069 [hep-th/0310272] [INSPIRE]. · doi:10.1088/1126-6708/2008/03/069 |
| [7] | A. Iqbal, C. Kozcaz and C. Vafa, The refined topological vertex, JHEP10 (2009) 069 [hep-th/0701156] [INSPIRE]. · doi:10.1088/1126-6708/2009/10/069 |
| [8] | I. Antoniadis, S. Hohenegger, K. Narain and T. Taylor, Deformed topological partition function and Nekrasov backgrounds, Nucl. Phys.B 838 (2010) 253 [arXiv:1003.2832] [INSPIRE]. · Zbl 1206.81093 · doi:10.1016/j.nuclphysb.2010.04.021 |
| [9] | D. Krefl and J. Walcher, Extended holomorphic anomaly in gauge theory, Lett. Math. Phys.95 (2011) 67 [arXiv:1007.0263] [INSPIRE]. · Zbl 1205.81118 · doi:10.1007/s11005-010-0432-2 |
| [10] | M.-X. Huang and A. Klemm, Direct integration for general Ω backgrounds, arXiv:1009.1126 [INSPIRE]. · Zbl 1276.81098 |
| [11] | M. Aganagic, M.C. Cheng, R. Dijkgraaf, D. Krefl and C. Vafa, Quantum geometry of refined topological strings, arXiv:1105.0630 [INSPIRE]. · Zbl 1397.83117 |
| [12] | S. Hellerman, D. Orlando and S. Reffert, String theory of the Ω deformation, JHEP01 (2012) 148 [arXiv:1106.0279] [INSPIRE]. · Zbl 1306.81110 · doi:10.1007/JHEP01(2012)148 |
| [13] | D. Orlando and S. Reffert, Relating gauge theories via gauge/Bethe correspondence, JHEP10 (2010) 071 [arXiv:1005.4445] [INSPIRE]. · Zbl 1291.81267 · doi:10.1007/JHEP10(2010)071 |
| [14] | D. Orlando and S. Reffert, The gauge-Bethe correspondence and geometric representation theory, Lett. Math. Phys.98 (2011) 289 [arXiv:1011.6120] [INSPIRE]. · Zbl 1238.81167 · doi:10.1007/s11005-011-0526-5 |
| [15] | N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions, hep-th/0306238 [INSPIRE]. · Zbl 1233.14029 |
| [16] | J. Russo and A.A. Tseytlin, Supersymmetric fluxbrane intersections and closed string tachyons, JHEP11 (2001) 065 [hep-th/0110107] [INSPIRE]. · doi:10.1088/1126-6708/2001/11/065 |
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