Built on

Z. Wan, J. Wang, and Y. Zheng, “Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory,”
Original
1904
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, “Anomalies in the Space of Coupling Constants and Their Dynamical Applications I,”
Original
1905
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, “Anomalies in the Space of Coupling Constants and Their Dynamical Applications II,”
Original
1905
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,”
Original
1907
Earlier work this paper cites.
M. M. Anber and E. Poppitz, “On the baryon-color-flavor (BCF) anomaly in vector-like theories,”
Original
1909
Earlier work this paper cites.
C. Córdova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,”
Original
1910
Earlier work this paper cites.
Z. Wan and J. Wang, “Higher anomalies, higher symmetries, and cobordisms III: QCD matter phases anew,”
Original
1912
Earlier work this paper cites.
G. ’t Hooft, “A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,”
1979
Earlier work this paper cites.
M. Creutz, “Confinement and the Critical Dimensionality of Space-Time,”
1979
Earlier work this paper cites.
G. ’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,”
1980
Earlier work this paper cites.
M. E. Peskin, “Critical Point Behavior of the Wilson Loop,”
1980
Earlier work this paper cites.
S. R. Coleman and B. Grossman, “’t Hooft’s Consistency Condition as a Consequence of Analyticity and Unitarity,”
1982
Earlier work this paper cites.
E. Cohen and C. Gomez, “A Computation of Tr(-1)**f in Supersymmetric Gauge Theories With Matter,”
1983
Earlier work this paper cites.
C. Vafa and E. Witten, “A Strong coupling test of S duality,”
1994
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,”
1996
Earlier work this paper cites.
M. R. Douglas, S. H. Katz, and C. Vafa, “Small instantons, Del Pezzo surfaces and type I-prime theory,”
1997
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, “Extremal transitions and five-dimensional supersymmetric field theories,”
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,”
1997
Earlier work this paper cites.
N. Nekrasov, “Five dimensional gauge theories and relativistic integrable systems,”
1998
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,”
1998
Earlier work this paper cites.
A. Brandhuber and Y. Oz, “The D-4 - D-8 brane system and five-dimensional fixed points,”
1999
Earlier work this paper cites.
K. A. Intriligator, “Anomaly matching and a Hopf-Wess-Zumino term in 6d, N=(2,0) field theories,”
2000
Earlier work this paper cites.
R. Thorngren, “TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D,”
Original
2001
Earlier work this paper cites.

Similar

P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, “Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d
Original
2001
Cited alongside, same era.
V. Borokhov, A. Kapustin, and X.-k. Wu, “Topological disorder operators in three-dimensional conformal field theory,”
2002
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V. Borokhov, A. Kapustin, and X.-k. Wu, “Monopole operators and mirror symmetry in three-dimensions,”
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E. Witten, “Supersymmetric index in four-dimensional gauge theories,”
2002
Cited alongside, same era.
O. Bergman, Y. Tachikawa, and G. Zafrir, “Generalized symmetries and holography in ABJM-type theories,”
Original
2004
Cited alongside, same era.

Then

L. F. Alday, P. Benetti Genolini, M. Fluder, P. Richmond, and J. Sparks, “Supersymmetric gauge theories on five-manifolds,”
Original
2015
Later among the works it cites.
A. Pini, D. Rodriguez-Gomez, and J. Schmude, “Rigid Supersymmetry from Conformal Supergravity in Five Dimensions,”
Original
2015
Later among the works it cites.
V. Mitev, E. Pomoni, M. Taki, and F. Yagi, “Fiber-Base Duality and Global Symmetry Enhancement,”
Original
2015
Later among the works it cites.
K. Yonekura, “Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories,”
Original
2015
Later among the works it cites.
D. Gaiotto, A. Kapustin, Z. Komargodski, and N. Seiberg, “Theta, Time Reversal, and Temperature,”

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2020

Instantons, Symmetries and Anomalies in Five Dimensions

Genolini, Pietro Benetti, Tizzano, Luigi

Understand

All five-dimensional non-abelian gauge theories have a $U(1)_I$ global symmetry associated with instantonic particles.

We describe an obstruction to coupling $U(1)_I$ to a classical background gauge field that occurs whenever the theory has a one-form center symmetry.
This is a finite-order mixed 't Hooft anomaly between the two symmetries.
We also show that a similar obstruction takes place in gauge theories with fundamental matter by studying twisted bundles for the ordinary flavor symmetry.

Built on

Z. Wan, J. Wang, and Y. Zheng, “Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory,”
Original
1904
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, “Anomalies in the Space of Coupling Constants and Their Dynamical Applications I,”
Original
1905
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, “Anomalies in the Space of Coupling Constants and Their Dynamical Applications II,”
Original
1905
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,”
Original
1907
Earlier work this paper cites.
M. M. Anber and E. Poppitz, “On the baryon-color-flavor (BCF) anomaly in vector-like theories,”
Original
1909
Earlier work this paper cites.
C. Córdova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,”
Original
1910
Earlier work this paper cites.
Z. Wan and J. Wang, “Higher anomalies, higher symmetries, and cobordisms III: QCD matter phases anew,”
Original
1912
Earlier work this paper cites.
G. ’t Hooft, “A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,”
1979
Earlier work this paper cites.
M. Creutz, “Confinement and the Critical Dimensionality of Space-Time,”
1979
Earlier work this paper cites.
G. ’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,”
1980
Earlier work this paper cites.
M. E. Peskin, “Critical Point Behavior of the Wilson Loop,”
1980
Earlier work this paper cites.
S. R. Coleman and B. Grossman, “’t Hooft’s Consistency Condition as a Consequence of Analyticity and Unitarity,”
1982
Earlier work this paper cites.
E. Cohen and C. Gomez, “A Computation of Tr(-1)**f in Supersymmetric Gauge Theories With Matter,”
1983
Earlier work this paper cites.
C. Vafa and E. Witten, “A Strong coupling test of S duality,”
1994
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,”
1996
Earlier work this paper cites.
M. R. Douglas, S. H. Katz, and C. Vafa, “Small instantons, Del Pezzo surfaces and type I-prime theory,”
1997
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, “Extremal transitions and five-dimensional supersymmetric field theories,”
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,”
1997
Earlier work this paper cites.
N. Nekrasov, “Five dimensional gauge theories and relativistic integrable systems,”
1998
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,”
1998
Earlier work this paper cites.
A. Brandhuber and Y. Oz, “The D-4 - D-8 brane system and five-dimensional fixed points,”
1999
Earlier work this paper cites.
K. A. Intriligator, “Anomaly matching and a Hopf-Wess-Zumino term in 6d, N=(2,0) field theories,”
2000
Earlier work this paper cites.
R. Thorngren, “TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D,”
Original
2001
Earlier work this paper cites.

Similar

P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, “Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d
Original
2001
Cited alongside, same era.
V. Borokhov, A. Kapustin, and X.-k. Wu, “Topological disorder operators in three-dimensional conformal field theory,”
2002
Cited alongside, same era.
V. Borokhov, A. Kapustin, and X.-k. Wu, “Monopole operators and mirror symmetry in three-dimensions,”
2002
Cited alongside, same era.
E. Witten, “Supersymmetric index in four-dimensional gauge theories,”
2002
Cited alongside, same era.
O. Bergman, Y. Tachikawa, and G. Zafrir, “Generalized symmetries and holography in ABJM-type theories,”
Original
2004
Cited alongside, same era.