More anomaly free models of six-dimensional gauged supergravity

Suzuki, Ryō; Tachikawa, Yuji

doi:10.1063/1.2209767

Cited by 31 publications

(43 citation statements)

References 50 publications

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“…Consistency requires that they are anomaly-free, and a version of the Green-Schwarz mechanism [34,30,31,32] plays a central role in the cancellation of local anomalies. While the cancellation of certain global gauge anomalies has been considered [46,47,2], no systematic study of global anomaly cancellation has yet been performed. This paper is a first step in that direction.…”

Section: Anomalies Of Six-dimensional Supergravitiesmentioning

confidence: 99%

Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories

Monnier

Moore

2019

Commun. Math. Phys.

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We construct the Green-Schwarz terms of six-dimensional supergravity theories on spacetimes with non-trivial topology and gauge bundle. We prove the cancellation of all global gauge and gravitational anomalies for theories with gauge groups given by products of U pnq, SU pnq and Sppnq factors, as well as for E 8 . For other gauge groups, anomaly cancellation is equivalent to the triviality of a certain 7-dimensional spin topological field theory. We show in the case of a finite Abelian gauge group that there are residual global anomalies imposing constraints on the 6d supergravity. These constraints are compatible with the known F-theory models. Interestingly, our construction requires that the gravitational anomaly coefficient of the 6d supergravity theory is a characteristic element of the lattice of string charges, a fact true in six-dimensional F-theory compactifications but that until now was lacking a low-energy explanation. We also discover a new anomaly coefficient associated with a torsion characteristic class in theories with a disconnected gauge group.

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Section: Anomalies Of Six-dimensional Supergravitiesmentioning

confidence: 99%

Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories

Monnier

Moore

2019

Commun. Math. Phys.

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“…There is a more subtle anomaly, however, first discussed in [22], where the partition function is invariant under local gauge transformations (gauge current is conserved quantum mechanically), but not invariant under "large" gauge transformations. The analysis of such "global anomalies" in six dimensions was carried out in [23], and more thoroughly in [24]. Using their results, we find that the inner products in question are non-integral for SU(2), SU(3) and G 2 precisely when the low-energy theory is plagued by a global anomaly, which renders these theories inconsistent.…”

Section: Jhep11(2010)118mentioning

confidence: 99%

“…One class of models which we have not yet considered is the class of gauged supergravity models [24,61]. It may be possible to perform a similar analysis of general 6D gauged supergravity models, although the significance of such supergravity theories is unclear as they do not give rise to stable Minkowski vacua.…”

Section: Charting the Space Of Supergravities With String Constructionsmentioning

confidence: 99%

Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities

Kumar

Morrison

Taylor

2010

J. High Energ. Phys.

116

345

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Abstract:We perform a global analysis of the space of consistent 6D quantum gravity theories with N = 1 supersymmetry, including models with multiple tensor multiplets. We prove that for theories with fewer than T = 9 tensor multiplets, a finite number of distinct gauge groups and matter content are possible. We find infinite families of field combinations satisfying anomaly cancellation and admitting physical gauge kinetic terms for T > 8. We find an integral lattice associated with each apparently-consistent supergravity theory; this lattice is determined by the form of the anomaly polynomial. For models which can be realized in F-theory, this anomaly lattice is related to the intersection form on the base of the F-theory elliptic fibration. The condition that a supergravity model have an F-theory realization imposes constraints which can be expressed in terms of this lattice. The analysis of models which satisfy known low-energy consistency conditions and yet violate F-theory constraints suggests possible novel constraints on low-energy supergravity theories.

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“…In addition to the local anomaly cancellation conditions we have described above, there are also global anomalies that must cancel. In particular [16][17][18][19]9], for SU(2) and SU(3) theories with only fundamental and adjoint matter fields, the anomalies will cancel if the following conditions are satisfied:…”

Section: Additional Constraintsmentioning

confidence: 99%

An infinite swampland of U(1) charge spectra in 6D supergravity theories

Taylor

Turner

2018

J. High Energ. Phys.

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Abstract:We analyze the anomaly constraints on 6D supergravity theories with a single abelian U(1) gauge factor. For theories with charges restricted to q = ±1, ±2 and no tensor multiplets, anomaly-free models match those models that can be realized from Ftheory compactifications almost perfectly. For theories with tensor multiplets or with larger charges, the F-theory constraints are less well understood. We show, however, that there is an infinite class of distinct massless charge spectra in the "swampland" of theories that satisfy all known quantum consistency conditions but do not admit a realization through F-theory or any other known approach to string compactification. We also compare the spectra of charged matter in abelian theories with those that can be realized from breaking nonabelian SU(2) and higher rank gauge symmetries.

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More anomaly free models of six-dimensional gauged supergravity

Cited by 31 publications

References 50 publications

Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories

Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories

Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities

An infinite swampland of U(1) charge spectra in 6D supergravity theories

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