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.
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.
I. García Etxebarria, B. Heidenreich, and D. Regalado, “IIB flux non-commutativity and the global structure of field theories,” JHEP
Original
1908
Earlier work this paper cites.
L. Bhardwaj, P. Jefferson, H.-C. Kim, H.-C. Tarazi, and C. Vafa, “Twisted Circle Compactifications of 6d SCFTs,” JHEP
Original
1909
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.
J. Eckhard, H. Kim, S. Schafer-Nameki, and B. Willett, “Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence,” JHEP
Original
1910
Earlier work this paper cites.
C. Closset and M. Del Zotto, “On 5d SCFTs and their BPS quivers. Part I: B-branes and brane tilings,” arXiv:1912.13502 [hep-th]
Original
1912
Earlier work this paper cites.
A. M. Cohen, “Finite complex reflection groups,” Annales scientifiques de l’École Normale Supérieure
1976
Earlier work this paper cites.
G. ’t Hooft, “On the Phase Transition Towards Permanent Quark Confinement,” Nucl. Phys. B
1978
Earlier work this paper cites.
K.-i. Watanabe and D. Rotillon, “Invariant subrings of c[x, y, z] which are complete intersections,” manuscripta mathematica
1982
Earlier work this paper cites.
American Mathematical Soc., 1993
S. S.-T. Yau and Y. Yu, Gorenstein quotient singularities in dimension three · 1993
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.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys. B
1997
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, “Extremal transitions and five-dimensional supersymmetric field theories,” Nucl. Phys. B
1997
Earlier work this paper cites.
M. R. Douglas, S. H. Katz, and C. Vafa, “Small instantons, Del Pezzo surfaces and type I-prime theory,” Nucl. Phys. B
1997
Earlier work this paper cites.
S. H. Katz, A. Klemm, and C. Vafa, “Geometric engineering of quantum field theories,” Nucl. Phys. B
1997
Earlier work this paper cites.
K. A. Intriligator, D. R. Morrison, and N. Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces,” Nucl. Phys. B
1997
Earlier work this paper cites.
O. Aharony and A. Hanany, “Branes, superpotentials and superconformal fixed points,” Nucl. Phys. B
1997
Earlier work this paper cites.
O. Aharony, A. Hanany, and B. Kol, “Webs of (p,q) five-branes, five-dimensional field theories and grid diagrams,” JHEP
1998
Earlier work this paper cites.
O. Aharony and E. Witten, “Anti-de Sitter space and the center of the gauge group,” JHEP
1998
Earlier work this paper cites.
A. E. Lawrence and N. Nekrasov, “Instanton sums and five-dimensional gauge theories,” Nucl. Phys. B
1998
Earlier work this paper cites.
A. E. Lawrence, N. Nekrasov, and C. Vafa, “On conformal field theories in four-dimensions,” Nucl. Phys. B
1998
Earlier work this paper cites.
D.-E. Diaconescu and R. Entin, “Calabi-Yau spaces and five-dimensional field theories with exceptional gauge symmetry,” Nucl. Phys. B
1999
Earlier work this paper cites.
A. Hanany and Y.-H. He, “Non-Abelian finite gauge theories,” JHEP
1999
Earlier work this paper cites.
B. Fiol and M. Marino, “BPS states and algebras from quivers,” JHEP
2000
Earlier work this paper cites.
P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, “Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d S U ( 2 ) SU(2) SYM,” JHEP
Original
2001
Earlier work this paper cites.
F. Denef, “Quantum quivers and Hall / hole halos,” JHEP
2002
Earlier work this paper cites.
F. Albertini, M. Del Zotto, I. García Etxebarria, and S. S. Hosseini, “Higher Form Symmetries and M-theory,” JHEP
Original
2005
Earlier work this paper cites.
D. R. Morrison, S. Schafer-Nameki, and B. Willett, “Higher-Form Symmetries in 5d,” JHEP
Original
2005
Earlier work this paper cites.

Similar

M. Dierigl, P.-K. Oehlmann, and F. Ruehle, “Non-Simply-Connected Symmetries in 6D SCFTs,” JHEP
Original
2005
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.
M. Del Zotto, I. García Etxebarria, and S. S. Hosseini, “Higher form symmetries of Argyres-Douglas theories,” JHEP
Original
2007
Cited alongside, same era.
I. Bah, F. Bonetti, and R. Minasian, “Discrete and higher-form symmetries in SCFTs from wrapped M5-branes,” JHEP
Original
2007
Cited alongside, same era.
D. S. Freed, G. W. Moore, and G. Segal, “The Uncertainty of Fluxes,” Commun. Math. Phys

Then

S. Monnier, “The global anomalies of (2,0) superconformal field theories in six dimensions,” JHEP
Original
2014
Later among the works it cites.
M. Alim, S. Cecotti, C. Cordova, S. Espahbodi, A. Rastogi, and C. Vafa, “ 𝒩 = 2 \mathcal{N}=2 quantum field theories and their BPS quivers,” Adv. Theor. Math. Phys
Original
2014
Later among the works it cites.
D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP
Original
2015
Later among the works it cites.
E. Sharpe, “Notes on generalized global symmetries in QFT,” Fortsch. Phys
Original
2015
Later among the works it cites.
J. J. Heckman, D. R. Morrison, and C. Vafa, “On the Classification of 6D SCFTs and Generalized ADE Orbifolds,” JHEP

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2022

Higher Symmetries of 5d Orbifold SCFTs

Del Zotto, Michele, Heckman, Jonathan J., Meynet, Shani Nadir et al.

Understand

We determine the higher symmetries of 5d SCFTs engineered from M-theory on a $\mathbb{C}^3 / \Gamma$ background for $\Gamma$ a finite subgroup of $SU(3)$.

This resolves a longstanding question as to how to extract this data when the resulting singularity is non-toric (when $\Gamma$ is non-abelian) and/or not isolated (when the action of $\Gamma$ has fixed loci).
The BPS states of the theory are encoded in a 1d quiver quantum mechanics gauge theory which determines the possible 1-form and 2-form symmetries.
We also show that this same data can also be extracted by a direct computation of the corresponding defect group associated with the orbifold singularity.

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.
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.
I. García Etxebarria, B. Heidenreich, and D. Regalado, “IIB flux non-commutativity and the global structure of field theories,” JHEP
Original
1908
Earlier work this paper cites.
L. Bhardwaj, P. Jefferson, H.-C. Kim, H.-C. Tarazi, and C. Vafa, “Twisted Circle Compactifications of 6d SCFTs,” JHEP
Original
1909
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.
J. Eckhard, H. Kim, S. Schafer-Nameki, and B. Willett, “Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence,” JHEP
Original
1910
Earlier work this paper cites.
C. Closset and M. Del Zotto, “On 5d SCFTs and their BPS quivers. Part I: B-branes and brane tilings,” arXiv:1912.13502 [hep-th]
Original
1912
Earlier work this paper cites.
A. M. Cohen, “Finite complex reflection groups,” Annales scientifiques de l’École Normale Supérieure
1976
Earlier work this paper cites.
G. ’t Hooft, “On the Phase Transition Towards Permanent Quark Confinement,” Nucl. Phys. B
1978
Earlier work this paper cites.
K.-i. Watanabe and D. Rotillon, “Invariant subrings of c[x, y, z] which are complete intersections,” manuscripta mathematica
1982
Earlier work this paper cites.
American Mathematical Soc., 1993
S. S.-T. Yau and Y. Yu, Gorenstein quotient singularities in dimension three · 1993
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.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys. B
1997
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, “Extremal transitions and five-dimensional supersymmetric field theories,” Nucl. Phys. B
1997
Earlier work this paper cites.
M. R. Douglas, S. H. Katz, and C. Vafa, “Small instantons, Del Pezzo surfaces and type I-prime theory,” Nucl. Phys. B
1997
Earlier work this paper cites.
S. H. Katz, A. Klemm, and C. Vafa, “Geometric engineering of quantum field theories,” Nucl. Phys. B
1997
Earlier work this paper cites.
K. A. Intriligator, D. R. Morrison, and N. Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces,” Nucl. Phys. B
1997
Earlier work this paper cites.
O. Aharony and A. Hanany, “Branes, superpotentials and superconformal fixed points,” Nucl. Phys. B
1997
Earlier work this paper cites.
O. Aharony, A. Hanany, and B. Kol, “Webs of (p,q) five-branes, five-dimensional field theories and grid diagrams,” JHEP
1998
Earlier work this paper cites.
O. Aharony and E. Witten, “Anti-de Sitter space and the center of the gauge group,” JHEP
1998
Earlier work this paper cites.
A. E. Lawrence and N. Nekrasov, “Instanton sums and five-dimensional gauge theories,” Nucl. Phys. B
1998
Earlier work this paper cites.
A. E. Lawrence, N. Nekrasov, and C. Vafa, “On conformal field theories in four-dimensions,” Nucl. Phys. B
1998
Earlier work this paper cites.
D.-E. Diaconescu and R. Entin, “Calabi-Yau spaces and five-dimensional field theories with exceptional gauge symmetry,” Nucl. Phys. B
1999
Earlier work this paper cites.
A. Hanany and Y.-H. He, “Non-Abelian finite gauge theories,” JHEP
1999
Earlier work this paper cites.
B. Fiol and M. Marino, “BPS states and algebras from quivers,” JHEP
2000
Earlier work this paper cites.
P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, “Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d S U ( 2 ) SU(2) SYM,” JHEP
Original
2001
Earlier work this paper cites.
F. Denef, “Quantum quivers and Hall / hole halos,” JHEP
2002
Earlier work this paper cites.
F. Albertini, M. Del Zotto, I. García Etxebarria, and S. S. Hosseini, “Higher Form Symmetries and M-theory,” JHEP
Original
2005
Earlier work this paper cites.
D. R. Morrison, S. Schafer-Nameki, and B. Willett, “Higher-Form Symmetries in 5d,” JHEP
Original
2005
Earlier work this paper cites.