Built on

F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki, and Y.-N. Wang, “5d Superconformal Field Theories and Graphs,” Phys. Lett. B
Original
1906
Earlier work this paper cites.
A. Collinucci, M. Fazzi, D. R. Morrison, and R. Valandro, “High electric charges in M-theory from quiver varieties,” JHEP
Original
1906
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki, and Y.-N. Wang, “Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States,” JHEP
Original
1907
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki, and Y.-N. Wang, “Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities,” JHEP
Original
1909
Earlier work this paper cites.
L. Bhardwaj, “On the classification of 5d SCFTs,” JHEP
Original
1909
Earlier work this paper cites.
H. B. Laufer, “On cp1 as an exceptional set,” Recent Developments in Several Complex Variables. (AM-100)
1981
Earlier work this paper cites.
S. Katz and D. R. Morrison, “Gorenstein threefold singularities with small resolutions via invariant theory for weyl groups,” J. Alg. Geom
1992
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett. B
1996
Earlier work this paper cites.
E. Witten, “Phase transitions in M theory and F theory,” Nucl. Phys. B
1996
Earlier work this paper cites.

Similar

H. Ooguri and C. Vafa, “Summing up D instantons,” Phys. Rev. Lett
1996
Cited alongside, same era.
K. A. Intriligator, D. R. Morrison, and N. Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces,” Nucl. Phys. B
1997
Cited alongside, same era.
O. Aharony, A. Hanany, and B. Kol, “Webs of (p,q) five-branes, five-dimensional field theories and grid diagrams,” JHEP
1998
Cited alongside, same era.
J. F. Grimminger and A. Hanany, “Hasse diagrams for 3d 𝒩 \mathcal{N} = 4 quiver gauge theories — Inversion and the full moduli space,” JHEP
Original
2004
Cited alongside, same era.
C. Closset, S. Schafer-Nameki, and Y.-N. Wang, “Coulomb and Higgs Branches from Canonical Singularities: Part 0,” JHEP
Original
2007
Cited alongside, same era.

Then

T. W. Grimm, M. Kerstan, E. Palti, and T. Weigand, “Massive Abelian Gauge Symmetries and Fluxes in F-theory,” JHEP
Original
2011
Later among the works it cites.
C. Closset, S. Giacomelli, S. Schäfer-Nameki, and Y.-N. Wang, “5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities,” 2012.12827
Original
2012
Later among the works it cites.
P. S. Aspinwall and D. R. Morrison, “Quivers from Matrix Factorizations,” Commun. Math. Phys
Original
2012
Later among the works it cites.
A. P. Braun, A. Collinucci, and R. Valandro, “The fate of U(1)’s at strong coupling in F-theory,” JHEP
Original
2014
Later among the works it cites.
B. Assel and S. Cremonesi, “The Infrared Physics of Bad Theories,” SciPost Phys

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2021

Higgs branches of 5d rank-zero theories from geometry

Collinucci, Andrés, De Marco, Mario, Sangiovanni, Andrea et al.

Understand

We study the Higgs branches of five-dimensional N=1 rank-zero theories obtained from M-theory on two classes non-toric non-compact Calabi-Yau threefolds: Reid's pagodas, and Laufer's examples.

Our approach consists in reducing to IIA with D6-branes and O6-planes, and computing the open-string spectra giving rise to hypermultiplets.
Starting with the seven-dimensional worldvolume theories, we switch on T-brane backgrounds to give rise to bound states with angles.
We observe that the resulting partially Higgsed 5d theories have discrete gauge groups, from which we readily deduce the geometry of the Higgs branches as orbifolds of quaternionic varieties.

Built on

F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki, and Y.-N. Wang, “5d Superconformal Field Theories and Graphs,” Phys. Lett. B
Original
1906
Earlier work this paper cites.
A. Collinucci, M. Fazzi, D. R. Morrison, and R. Valandro, “High electric charges in M-theory from quiver varieties,” JHEP
Original
1906
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki, and Y.-N. Wang, “Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States,” JHEP
Original
1907
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schäfer-Nameki, and Y.-N. Wang, “Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities,” JHEP
Original
1909
Earlier work this paper cites.
L. Bhardwaj, “On the classification of 5d SCFTs,” JHEP
Original
1909
Earlier work this paper cites.
H. B. Laufer, “On cp1 as an exceptional set,” Recent Developments in Several Complex Variables. (AM-100)
1981
Earlier work this paper cites.
S. Katz and D. R. Morrison, “Gorenstein threefold singularities with small resolutions via invariant theory for weyl groups,” J. Alg. Geom
1992
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett. B
1996
Earlier work this paper cites.
E. Witten, “Phase transitions in M theory and F theory,” Nucl. Phys. B
1996
Earlier work this paper cites.

Similar

H. Ooguri and C. Vafa, “Summing up D instantons,” Phys. Rev. Lett
1996
Cited alongside, same era.
K. A. Intriligator, D. R. Morrison, and N. Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces,” Nucl. Phys. B
1997
Cited alongside, same era.
O. Aharony, A. Hanany, and B. Kol, “Webs of (p,q) five-branes, five-dimensional field theories and grid diagrams,” JHEP
1998
Cited alongside, same era.
J. F. Grimminger and A. Hanany, “Hasse diagrams for 3d 𝒩 \mathcal{N} = 4 quiver gauge theories — Inversion and the full moduli space,” JHEP
Original
2004
Cited alongside, same era.
C. Closset, S. Schafer-Nameki, and Y.-N. Wang, “Coulomb and Higgs Branches from Canonical Singularities: Part 0,” JHEP
Original
2007
Cited alongside, same era.