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
Abstract
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...
Subjects
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
EC| HIGGSBNDL
Project
HIGGSBNDL
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
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1066293
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
,
EC| GAUGE/GRAVITY
Project
GAUGE/GRAVITY
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.
Project
  • Funder: Research Council UK (RCUK)
  • Project Code: ST/J002798/1
  • Funding stream: STFC

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