Abstract
The planar \( \mathcal{N}={2}^{\ast } \) Super-Yang-Mills (SYM) theory is solved at large ’t Hooft coupling using localization on S 4. The solution permits detailed investigation of the resonance phenomena responsible for quantum phase transitions in infinite volume, and leads to quantitative predictions for the semiclassical string dual of the \( \mathcal{N}={2}^{\ast } \) theory.
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References
E. Witten, Topological quantum field theory, Commun. Math. Phys. 117 (1988) 353 [INSPIRE].
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys. 313 (2012) 71 [arXiv:0712.2824] [INSPIRE].
K. Pilch and N.P. Warner, \( \mathcal{N}=2 \) supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [INSPIRE].
E. Brézin, C. Itzykson, G. Parisi and J.B. Zuber, Planar diagrams, Commun. Math. Phys. 59 (1978) 35 [INSPIRE].
J.G. Russo, A note on perturbation series in supersymmetric gauge theories, JHEP 06 (2012) 038 [arXiv:1203.5061] [INSPIRE].
A. Buchel, J.G. Russo and K. Zarembo, Rigorous test of non-conformal holography: Wilson loops in \( \mathcal{N}={2}^{\ast } \) theory, JHEP 03 (2013) 062 [arXiv:1301.1597] [INSPIRE].
J.G. Russo and K. Zarembo, Evidence for large-N phase transitions in \( \mathcal{N}={2}^{\ast } \) theory, JHEP 04 (2013) 065 [arXiv:1302.6968] [INSPIRE].
J.G. Russo and K. Zarembo, Massive \( \mathcal{N}=2 \) gauge theories at large-N, JHEP 11 (2013) 130 [arXiv:1309.1004] [INSPIRE].
J.G. Russo and K. Zarembo, Localization at large-N, arXiv:1312.1214 [INSPIRE].
N. Bobev, H. Elvang, D.Z. Freedman and S.S. Pufu, Holography for \( \mathcal{N}={2}^{*} \) on S 4, JHEP 07 (2014) 001 [arXiv:1311.1508] [INSPIRE].
D.J. Gross and E. Witten, Possible third order phase transition in the large-N lattice gauge theory, Phys. Rev. D 21 (1980) 446 [INSPIRE].
S.R. Wadia, A study of U(N) lattice gauge theory in 2-dimensions, arXiv:1212.2906 [INSPIRE].
A. Barranco and J.G. Russo, Large-N phase transitions in supersymmetric Chern-Simons theory with massive matter, JHEP 03 (2014) 012 [arXiv:1401.3672] [INSPIRE].
L. Anderson and K. Zarembo, Quantum phase transitions in mass-deformed ABJM matrix model, JHEP 09 (2014) 021 [arXiv:1406.3366] [INSPIRE].
J.G. Russo, G.A. Silva and M. Tierz, Supersymmetric U(N) Chern-Simons-matter theory and phase transitions, arXiv:1407.4794 [INSPIRE].
J.A. Minahan and A. Nedelin, Phases of planar 5-dimensional supersymmetric Chern-Simons theory, arXiv:1408.2767 [INSPIRE].
A. Buchel, A.W. Peet and J. Polchinski, Gauge dual and noncommutative extension of an \( \mathcal{N}=2 \) supergravity solution, Phys. Rev. D 63 (2001) 044009 [hep-th/0008076] [INSPIRE].
M. Billó, M. Frau, F. Fucito, A. Lerda, J.F. Morales et al., Modular anomaly equations in \( \mathcal{N}={2}^{*} \) theories and their large-N limit, JHEP 10 (2014) 131 [arXiv:1406.7255] [INSPIRE].
J.G. Russo and K. Zarembo, Large-N limit of \( \mathcal{N}=2 \) SU(N) gauge theories from localization, JHEP 10 (2012) 082 [arXiv:1207.3806] [INSPIRE].
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Chen-Lin, X., Gordon, J. & Zarembo, K. \( \mathcal{N}={2}^{\ast } \) super-Yang-Mills theory at strong coupling. J. High Energ. Phys. 2014, 57 (2014). https://doi.org/10.1007/JHEP11(2014)057
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DOI: https://doi.org/10.1007/JHEP11(2014)057