Fetching the paper…

Reading the bibliography…

2021

The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs

Apruzzi, Fabio, Bhardwaj, Lakshya, Oh, Jihwan et al.

Original
PDF
Post on X

Understand

2-group symmetries arise when 1-form symmetries and 0-form symmetries of a theory mix with each other under group multiplication.

We discover the existence of 2-group symmetries in 5d N=1 abelian gauge theories arising on the (non-extended) Coulomb branch of 5d superconformal field theories (SCFTs), leading us to argue that the UV 5d SCFT itself admits a 2-group symmetry.
Furthermore, our analysis determines the global forms of the 0-form flavor symmetry groups of 5d SCFTs, irrespective of whether or not the 5d SCFT admits a 1-form symmetry.
As a concrete application of our method, we analyze 2-group symmetries of all 5d SCFTs, which reduce in the IR, after performing mass deformations, to 5d N=1 non-abelian gauge theories with simple, simply connected gauge groups.

The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs · Around

Built on

C. Córdova, D. S. Freed, H. T. Lam and N. Seiberg, Anomalies in the Space of Coupling Constants and Their Dynamical Applications II , SciPost Phys. 8
Original
1905
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schafer-Nameki and Y.-N. Wang, 5d Superconformal Field Theories and Graphs , Phys. Lett. B 800
Original
1906
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schafer-Nameki and Y.-N. Wang, Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States , JHEP 11
Original
1907
Earlier work this paper cites.
F. Apruzzi, C. Lawrie, L. Lin, S. Schafer-Nameki and Y.-N. Wang, Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities , JHEP 03
Original
1909
Earlier work this paper cites.
L. Bhardwaj, Dualities of 5d gauge theories from S-duality , 1909.05250
Original
1909
Earlier work this paper cites.
F. Apruzzi, S. Schafer-Nameki and Y.-N. Wang, 5d SCFTs from Decoupling and Gluing , 1912.04264
Original
1912
Earlier work this paper cites.
H. Toda et al., Cohomology of classifying spaces , in Homotopy theory and related topics , pp. 75–108, Mathematical Society of Japan, 1987
1987
Earlier work this paper cites.
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics , Phys. Lett. B 388
1996
Earlier work this paper cites.
E. Witten, Phase transitions in M theory and F theory , Nucl. Phys. B471
1996
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories , Nucl. Phys. B 483
1997
Earlier work this paper cites.
O. J. Ganor, D. R. Morrison and N. Seiberg, Branes, Calabi-Yau spaces, and toroidal compactification of the N=1 six-dimensional E(8) theory , Nucl. Phys. B487
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 497
1997
Earlier work this paper cites.
A. Kapustin, D-branes in a topologically nontrivial B field , Adv. Theor. Math. Phys. 4
2000
Earlier work this paper cites.
L. Bhardwaj and G. Zafrir, Classification of 5d N=1 gauge theories , 2003.04333
Original
2003
Earlier work this paper cites.
D. R. Morrison, S. Schafer-Nameki and B. Willett, Higher-Form Symmetries in 5d , JHEP 09
Original
2005
Earlier work this paper cites.
F. Albertini, M. Del Zotto, I. n. García Etxebarria and S. S. Hosseini, Higher Form Symmetries and M-theory , 2005.12831
Original
2005
Earlier work this paper cites.
C. Closset, S. Schafer-Nameki and Y.-N. Wang, Coulomb and Higgs Branches from Canonical Singularities: Part 0 , 2007.15600
Original
2007
Earlier work this paper cites.
P.-S. Hsin and H. T. Lam, Discrete Theta Angles, Symmetries and Anomalies , SciPost Phys. 10
Original
2007
Earlier work this paper cites.

Similar

L. Bhardwaj and S. Schafer-Nameki, Higher-form symmetries of 6 d 6d and 5 d 5d theories , 2008.09600
Original
2008
Cited alongside, same era.
F. Apruzzi, M. Dierigl and L. Lin, The Fate of Discrete 1-Form Symmetries in 6d , 2008.09117
Original
2008
Cited alongside, same era.
F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N=2 superconformal field theories , JHEP 09
Original
2009
Cited alongside, same era.
P. Benetti Genolini and L. Tizzano, Instantons, Symmetries and Anomalies in Five Dimensions , 2009.07873
Original
2009
Cited alongside, same era.
C. Cordova, T. T. Dumitrescu and K. Intriligator, 2-Group Global Symmetries and Anomalies in Six-Dimensional Quantum Field Theories , 2009.00138

Then

E. Sharpe, Notes on generalized global symmetries in QFT , Fortsch. Phys. 63
Original
2015
Later among the works it cites.
M. Del Zotto, J. J. Heckman and D. R. Morrison, 6D SCFTs and Phases of 5D Theories , JHEP 09
Original
2017
Later among the works it cites.
C.-M. Chang, O. Ganor and J. Oh, An index for ray operators in 5d E n E_{n} SCFTs , JHEP 02
Original
2017
Later among the works it cites.
D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, Theta, Time Reversal, and Temperature , JHEP 05
Original
2017
Later among the works it cites.
M. Barkeshli and M. Cheng, Time-reversal and spatial-reflection symmetry localization anomalies in (2+1)-dimensional topological phases of matter , Phys. Rev. B 98

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

M. Del Zotto and K. Ohmori, 2-Group Symmetries of 6d Little String Theories and T-duality , 2009.03489

2009

Cited alongside, same era.

L. Bhardwaj, Flavor Symmetry of 5d SCFTs, Part 1: General Setup , 2010.13230

2010

Cited alongside, same era.

L. Bhardwaj, Flavor Symmetry of 5d SCFTs, Part 2: Applications , 2010.13235

2010

Cited alongside, same era.

S. Gukov, P.-S. Hsin and D. Pei, Generalized Global Symmetries of T ⁡ [ M ] T[M] Theories. I , 2010.15890

2010

Cited alongside, same era.

N. Iqbal and N. Poovuttikul, 2-group global symmetries, hydrodynamics and holography , 2010.00320

2010

Cited alongside, same era.

H.-C. Kim, S.-S. Kim and K. Lee, 5-dim Superconformal Index with Enhanced En Global Symmetry , JHEP 10

2012

Cited alongside, same era.

O. Bergman, D. Rodríguez-Gómez and G. Zafrir, 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory , JHEP 03

2014

Cited alongside, same era.

2018

Later among the works it cites.

C. Delcamp and A. Tiwari, From gauge to higher gauge models of topological phases , JHEP 10

2018

Later among the works it cites.

H. Hayashi, S.-S. Kim, K. Lee and F. Yagi, Dualities and 5-brane webs for 5d rank 2 SCFTs , JHEP 12

2018

Later among the works it cites.

N. Seiberg, Y. Tachikawa and K. Yonekura, Anomalies of Duality Groups and Extended Conformal Manifolds , PTEP 2018

2018

Later among the works it cites.

M. Barkeshli, P. Bonderson, M. Cheng and Z. Wang, Symmetry Fractionalization, Defects, and Gauging of Topological Phases , Phys. Rev. B 100

2019

Later among the works it cites.

N. Carqueville, I. Runkel and G. Schaumann, Orbifolds of n-dimensional defect TQFTs , Geom. Topol. 23

2019

Later among the works it cites.

C. Córdova, T. T. Dumitrescu and K. Intriligator, Exploring 2-Group Global Symmetries , JHEP 02

2019

Later among the works it cites.

F. Benini, C. Córdova and P.-S. Hsin, On 2-Group Global Symmetries and their Anomalies , JHEP 03

2019

Later among the works it cites.

C. Cordova, T. T. Dumitrescu and K. Intriligator, Multiplets of Superconformal Symmetry in Diverse Dimensions , JHEP 03

Original

2019

Later among the works it cites.

C. Closset, M. Del Zotto and V. Saxena, Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective , SciPost Phys. 6

2019

Later among the works it cites.

J. Choy, The S O ( 3 ) SO(3) -instanton moduli space and tensor products of ADHM data , J. Algebra 528

2019

Later among the works it cites.

C. Córdova, P.-S. Hsin and K. Ohmori, Exceptional Chern-Simons-Matter Dualities , SciPost Phys. 7

2019

Later among the works it cites.

Y. Tachikawa, On gauging finite subgroups , SciPost Phys. 8

2020

Later among the works it cites.

N. Carqueville, C. Meusburger and G. Schaumann, 3-dimensional defect TQFTs and their tricategories , Adv. Math. 364

2020

Later among the works it cites.