qft and uqm - overview - harvard university · qft and uqm - overview andreas karch (university of...
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QFT and UQM -Overview
Andreas Karch (University of Washington, Seattle)
Overview Talk at UQM Kick-off Meeting, Sep 13 2019
![Page 2: QFT and UQM - Overview - Harvard University · QFT and UQM - Overview Andreas Karch (University of Washington, Seattle) Overview Talk at UQM Kick-off Meeting, Sep 13 2019](https://reader035.vdocuments.mx/reader035/viewer/2022071503/6122f401a026727eaa242391/html5/thumbnails/2.jpg)
What is UQM?
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What is UQM?Ashvin
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What is QFT?
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Big Question – Big Answers
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What’s up with dualitiesin 2+1 dimensions?
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Abelian Duality Web
Base pair(Wilson Fisher scalar + flux = free fermion)
Another base pair
(scalar = fermion + flux)
Particle-Vortexduality
Fermionic Particle-Vortex
Self-dualityof 2 flavor
QED
manynew Abeliandualities….
(Tong, AK, Seiberg, Senthil, Wang, Witten)
(half filled Landau level)
(deconfinedquantum criticality)
(2016)
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Outline
• Patterns
• Defects
• Beyond
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Non-Abelian Dualities Galore
Bose/Fermi duality for SU(N) with fundamental matterobeying “flavor bound”
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Dualities Galore
Bose/Fermi duality for SO(N) and Sp(N) with fundamental matterobeying “flavor bound”
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Dualities Galore
Bose/Fermi duality for SU(N), SO(N) and Sp(N) with fundamental matterbeyond “flavor bound”. Multiple transitions and quantum phase.
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Duality Galore
Bose + Fermi/ Bose + Fermi duality for SU(N), SO(N) and Sp(N)with fundamental matter obeying flavor bound.
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Duality Galore
Bose + Fermi/ Bose + Fermi duality for SU(N), SO(N) and Sp(N)with fundamental matter beyond flavor bound.
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The Master Duality
One duality to rule them all, One duality to find themOne duality to bring them all, and in the darkness bind them
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The Master Duality
One duality to rule them all, One duality to find them,One duality to bring them all, and in the darkness bind them?
Not so fast!
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More dualities galore
• Fermi/Fermi dualities with a single rank-2 tensor
• Bose/Bose dualities with a single rank-2 tensor
• Even more interesting Fermi/Fermi dualities(Choi, …)
adjoint
symmetric and anti-symmetric
(Gomis, Komargodski, Seiberg)
(Choi, Delmastro, Gomis, Komargodski)
(Aitken, Baumgartner, AK)
![Page 17: QFT and UQM - Overview - Harvard University · QFT and UQM - Overview Andreas Karch (University of Washington, Seattle) Overview Talk at UQM Kick-off Meeting, Sep 13 2019](https://reader035.vdocuments.mx/reader035/viewer/2022071503/6122f401a026727eaa242391/html5/thumbnails/17.jpg)
More dualities galore
• Fermi/Fermi dualities with a single rank-2 tensor
• Bose/Bose dualities with a single rank-2 tensor
• Even more interesting Fermi/Fermi dualities(Choi, …)
adjoint
symmetric and anti-symmetric
(Gomis, Komargodski, Seiberg)
(Choi, Delmastro, Gomis, Komargodski)
(Aitken, Baumgartner, AK)
![Page 18: QFT and UQM - Overview - Harvard University · QFT and UQM - Overview Andreas Karch (University of Washington, Seattle) Overview Talk at UQM Kick-off Meeting, Sep 13 2019](https://reader035.vdocuments.mx/reader035/viewer/2022071503/6122f401a026727eaa242391/html5/thumbnails/18.jpg)
Some Order in the Chaos:
New dualities from old:
• Gauge Global Symmetries:
F flavors, SU(F) Global Symmetry, Gauge: Quiver
(Jensen, AK; Aitken, Baumgartner, AK)
• Orbifolding: Mod out by discrete symmetry
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Some Order in the Chaos:
New dualities from old:
• Gauge Global Symmetries:
• Orbifolding: Mod out by discrete symmetry
Claim: adjoint rank-2 tensor theory fromMaster by Orbifolding 2-node quiver
(Aitken, Choi, AK)
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Some Order in the Chaos:
Still: far from clear that Master is all we need
Holy Grail: 3d Pouliot duality
(If you ever thought 4d N=1 SUSY Seiberg dualityhad a pattern to it, try to explain “SO with spinors”)
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2+1 Dualities and Defects
• Duality with boundaries
• Duality on boundaries/interfaces
3d bulk / 2d surface
4d bulk / 3d surface
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Duality on Defects
3d Chern-Simons matter theories can arise on interfaces and domain walls of 4d gauge theories.
(Gaiotto, Komargodski, Seiberg)
• Universal language to understand these recently developed:“Anomalies in the Space of Coupling Constants”
(Cordova, Freed, Lam, Seiberg)
• Relation to duality via “holography”
(Aitken, Baumgartner, AK)
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Duality with Defects
• Beautiful Story when supersymmetry is added:
(Dimofte, Gaiotto, Paquette)
• Without Supersymmetry we barely scratched the surface:
(Gaiotto; Aitken, Robinson, AK)
Is any of this relevant to “real” physics?
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Beyond….
What about 3+1 dimensions?
What about 1+1 dimensions?
Fractons?