publication . Article . Other literature type . Preprint . 2016

Six-dimensional origin of $ \mathcal{N} = 4$ SYM with duality defects

Benjamin Assel; Sakura Schäfer-Nameki;
Open Access
  • Published: 12 Oct 2016 Journal: Journal of High Energy Physics, volume 2,016, issue 12 (issn: 1029-8479, Copyright policy)
  • Country: United Kingdom
We study the topologically twisted compactification of the 6d $(2,0)$ M5-brane theory on an elliptically fibered K\"ahler three-fold preserving two supercharges. We show that upon reducing on the elliptic fiber, the 4d theory is $\mathcal{N}=4$ Super-Yang Mills, with varying complexified coupling $\tau$, in the presence of defects. For abelian gauge group this agrees with the so-called duality twisted theory, and we determine a non-abelian generalization to $U(N)$. When the elliptic fibration is singular, the 4d theory contains 3d walls (along the branch-cuts of $\tau$) and 2d surface defects, around which the 4d theory undergoes $SL(2,\mathbb{Z})$ duality trans...
free text keywords: Particle Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory, Multiplet, Duality (optimization), Particle physics, Mathematical physics, Gauge group, F-theory, Physics, Twist, Fibered knot, Fibration, Compactification (physics)
Funded by
Higgs bundles: Supersymmetric Gauge Theories and Geometry
  • Funder: European Commission (EC)
  • Project Code: 682608
  • Funding stream: H2020 | ERC | ERC-COG
NSF| Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics
  • Funder: National Science Foundation (NSF)
  • Project Code: 1066293
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
The Gauge/Gravity Duality and Geometry in String Theory
  • Funder: European Commission (EC)
  • Project Code: 304806
  • Funding stream: FP7 | SP2 | ERC
RCUK| Symmetry, supersymmetry, strings, branes and gauge theories; physics from the Planck to the QCD scale.
  • Funder: Research Council UK (RCUK)
  • Project Code: ST/J002798/1
  • Funding stream: STFC

[1] C. Montonen and D.I. Olive, Magnetic Monopoles as Gauge Particles?, Phys. Lett. B 72 [3] C. Vafa and E. Witten, A strong coupling test of S duality, Nucl. Phys. B 431 (1994) 3 [36] K. Kodaira, On compact analytic surfaces: II, Ann. Math. 77 (1963) 563. [37] T.W. Grimm, The N = 1 e ective action of F-theory compacti cations, Nucl. Phys. B 845 [38] H. Hayashi, R. Tatar, Y. Toda, T. Watari and M. Yamazaki, New Aspects of Heterotic-F [39] R. Donagi and M. Wijnholt, Higgs Bundles and UV Completion in F-theory, Commun. [40] J. Marsano, N. Saulina and S. Schafer-Nameki, Monodromies, Fluxes and Compact [41] G.W. Gibbons and S.W. Hawking, Classi cation of Gravitational Instanton Symmetries, Math. Phys. 1 (1998) 115 [hep-th/9707042] [INSPIRE]. [42] P.J. Ruback, The Motion of Kaluza-Klein Monopoles, Commun. Math. Phys. 107 (1986) 93

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