More about discrete gauge anomalies

Ibáñez, Luis E.

doi:10.1016/0550-3213(93)90111-2

Cited by 89 publications

(45 citation statements)

References 27 publications

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“…Assuming this condition to hold we show that the discrete Z 2 gauge anomalies are automatically cancelled for any flux which satisfies our modified transversality condition. This is indeed required [16,54] because for the type of genus-one fibrations considered here, the discrete symmetry is non-perturbatively exact [55,56]. This is the final non-trivial check for our construction.…”

Section: Jhep01(2016)098mentioning

confidence: 99%

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Fluxes in F-theory compactifications on genus-one fibrations

Lin

Mayrhofer

Till

et al. 2016

J. High Energ. Phys.

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Abstract:We initiate the construction of gauge fluxes in F-theory compactifications on genus-one fibrations which only have a multi-section as opposed to a section. F-theory on such spaces gives rise to discrete gauge symmetries in the effective action. We generalize the transversality conditions on gauge fluxes known for elliptic fibrations by taking into account the properties of the available multi-section. We test these general conditions by constructing all vertical gauge fluxes in a bisection model with gauge group SU(5)×Z 2 . The non-abelian anomalies are shown to vanish. These flux solutions are dynamically related to fluxes on a fibration with gauge group SU(5)×U(1) by a conifold transition. Considerations of flux quantization reveal an arithmetic constraint on certain intersection numbers on the base which must necessarily be satisfied in a smooth geometry. Combined with the proposed transversality conditions on the fluxes these conditions are shown to imply cancellation of the discrete Z 2 gauge anomalies as required by general consistency considerations.

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Section: Jhep01(2016)098mentioning

confidence: 99%

“…In general, discrete field theoretic anomalies need not vanish by themselves provided they are cancelled by a suitable discrete version of the Green-Schwarz mechanism [54]. This happens when an anomalous U(1) is Higgsed to a discrete subgroup which is also anomalous.…”

Section: Cancellation Of Z 2 Anomaliesmentioning

confidence: 99%

Fluxes in F-theory compactifications on genus-one fibrations

Lin

Mayrhofer

Till

et al. 2016

J. High Energ. Phys.

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“…In some cases they are gauged in the σ-model sense, and their anomalies are cancelled by a Green-Schwarz mechanism, see e.g. [75][76][77][78][79][80][81][82][83]. They are eventually broken upon SUSY breaking by dimension < 4 operators.…”

Section: Embedding Into the U(1) S R-symmetrymentioning

confidence: 99%

AdS-phobia, the WGC, the Standard Model and Supersymmetry

Gonzalo

Herráez

Ibáñez

2018

J. High Energ. Phys.

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It has been recently argued that an embedding of the SM into a consistent theory of quantum gravity may imply important constraints on the mass of the lightest neutrino and the cosmological constant Λ 4 . The constraints come from imposing the absence of any non-SUSY AdS stable vacua obtained from any consistent compactification of the SM to 3 or 2 dimensions. This condition comes as a corollary of a recent extension of the Weak Gravity Conjecture (WGC) by Ooguri and Vafa. In this paper we study T 2 /Z N compactifications of the SM to two dimensions in which SM Wilson lines are projected out, leading to a considerable simplification. We analyze in detail a T 2 /Z 4 compactification of the SM in which both complex structure and Wilson line scalars are fixed and the potential is only a function of the area of the torus a 2 . We find that the SM is not robust against the appearance of AdS vacua in 2D and hence would be by itself inconsistent with quantum gravity. On the contrary, if the SM is embedded at some scale M SS into a SUSY version like the MSSM, the AdS vacua present in the non-SUSY case disappear or become unstable. This means that WGC arguments favor a SUSY version of the SM, independently of the usual hierarchy problem arguments. In a T 2 /Z 4 compactification in which the orbifold action is embedded into the B − L symmetry the bounds on neutrino masses and the cosmological constant are recovered. This suggests that the MSSM should be extended with a U(1) B−L gauge group. In other families of vacua the spectrum of SUSY particles is further constrained in order to avoid the appearance of new AdS vacua or instabilities. We discuss a possible understanding of the little hierarchy problem in this context.

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“…Further constraints on the charges α Q and α L could be obtained by considering discrete gauge anomalies [10,13]. Unless the anomalies cancel, it is impossible for the discrete symmetry to be a remnant of a gauged U(1).…”

Section: Anomaliesmentioning

confidence: 99%

“…Unfortunately, discrete anomalies are notoriously ambiguous [12,13]. Theoretically, we should have several anomalies to consider.…”

Section: Anomaliesmentioning

confidence: 99%

Discrete Gauge Symmetries, Baryon Number and Large Extra Dimensions

Pawl¹

2005

J. High Energy Phys.

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Krauss and Wilczek have shown that an unbroken discrete gauge symmetry is respected by gravitationally mediated processes. This has led to a search for such a symmetry compatible with the standard model or MSSM that would protect protons from gravitationally mediated decay in a universe with a low scale for quantum gravity (large extra dimensions). The fact that the discrete symmetry must remain unbroken and have a gauge origin puts important restrictions on the space of possible discrete symmetries.

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More about discrete gauge anomalies

Cited by 89 publications

References 27 publications

Fluxes in F-theory compactifications on genus-one fibrations

Fluxes in F-theory compactifications on genus-one fibrations

AdS-phobia, the WGC, the Standard Model and Supersymmetry

Discrete Gauge Symmetries, Baryon Number and Large Extra Dimensions

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