Anomalous U(1)'s and Proton Stability in Brane Models

Fernando Quevedo; Luis Ibanez

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Anomalous U(1)'s and Proton Stability in Brane Models

Luis Ibanez, Fernando Quevedo

High Energy Physics - Phenomenology · Submitted 9 Aug 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Applying this scheme to the SUSY SM we find that gauging such a general U(1):1) B and L violating operators at least up to dim=3,4,5,6 are generically forbidden; 2)The $\mu$-term is generically supressed.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.79 · compares with prior results 0.80 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We consider the most general generation-independent U(1) gauge symmetry consistent with the presence of Yukawa couplings for all quarks and leptons in the SUSY version of the Standard Model. This U(1) has generically mixed anomalies with SM groups, which cannot be cancelled by the Green-Schwarz mechanism of heterotic D=4 strings. We argue that these anomalies can in principle be cancelled by the generalized Green-Schwarz mechanism present in field theories corresponding to D-branes at singularities. Moreover, unlike the heterotic case, once the U(1) symmetry is broken it may remain as an exact perturbative global symmetry in the low energy theory. Applying this scheme to the SUSY SM we find that gauging such a general U(1):1) B and L violating operators at least up to dim=3,4,5,6 are generically forbidden; 2)The $\mu$-term is generically supressed. We also study the properties of a U(1) symmetry whose mixed anomalies with the different SM gauge groups are in the ratio of the beta function coefficients $\beta_a$. This relation has been shown to hold in certain orientifold models. In all cases the U(1) remains as a global symmetry at the orientifold singularity, the SM Higgs can break it at the electroweak scale, making possible to relate the blowing-up of the singularity with electroweak symmetry breaking.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider the most general generation-independent U(1) gauge symmetry consistent with the presence of Yukawa couplings for all quarks and leptons in the SUSY version of the Standard Model.	contribution 0.87	0.79	0.04	asserted 0.74
s1	This U(1) has generically mixed anomalies with SM groups, which cannot be cancelled by the Green-Schwarz mechanism of heterotic D=4 strings.	background 0.62	0.28	0.05	asserted 0.99
s2	We argue that these anomalies can in principle be cancelled by the generalized Green-Schwarz mechanism present in field theories corresponding to D-branes at singularities.	contribution 0.73	0.33	0.16	hedged possibility 0.94
s3	Moreover, unlike the heterotic case, once the U(1) symmetry is broken it may remain as an exact perturbative global symmetry in the low energy theory.	result 0.63	0.39	0.12	hedged possibility 0.99
s4	Applying this scheme to the SUSY SM we find that gauging such a general U(1):1) B and L violating operators at least up to dim=3,4,5,6 are generically forbidden; 2)The $\mu$-term is generically supressed.	result 1.00	0.94	0.56	asserted 0.99
s5	We also study the properties of a U(1) symmetry whose mixed anomalies with the different SM gauge groups are in the ratio of the beta function coefficients $\beta_a$.	contribution 0.97	0.46	0.05	asserted 0.89
s6	This relation has been shown to hold in certain orientifold models.	background 0.99	0.05	0.03	asserted 0.95
s7	In all cases the U(1) remains as a global symmetry at the orientifold singularity, the SM Higgs can break it at the electroweak scale, making possible to relate the blowing-up of the singularity with electroweak symmetry breaking.	result 0.60	0.59	0.22	asserted 0.58

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from argument 0.78.

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Original abstract

We consider the most general generation-independent U(1) gauge symmetry consistent with the presence of Yukawa couplings for all quarks and leptons in the SUSY version of the Standard Model. This U(1) has generically mixed anomalies with SM groups, which cannot be cancelled by the Green-Schwarz mechanism of heterotic D=4 strings. We argue that these anomalies can in principle be cancelled by the generalized Green-Schwarz mechanism present in field theories corresponding to D-branes at singularities. Moreover, unlike the heterotic case, once the U(1) symmetry is broken it may remain as an exact perturbative global symmetry in the low energy theory. Applying this scheme to the SUSY SM we find that gauging such a general U(1):1) B and L violating operators at least up to dim=3,4,5,6 are generically forbidden; 2)The $\mu$-term is generically supressed. We also study the properties of a U(1) symmetry whose mixed anomalies with the different SM gauge groups are in the ratio of the beta function coefficients $\beta_a$. This relation has been shown to hold in certain orientifold models. In all cases the U(1) remains as a global symmetry at the orientifold singularity, the SM Higgs can break it at the electroweak scale, making possible to relate the blowing-up of the singularity with electroweak symmetry breaking.

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Cited by 8 Pith papers

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Toward Realistic Intersecting D-Brane Models
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12 arXiv papers cite this in 23 sentences

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Papers citing it · 18 sentences without a confident label

Uses its method or tool 1 paper

We can rid ourselves of the anomaly associated with $Y'_μ$ by canceling it using the 4D version [ref] of the Green-Schwarz mechanism [ref] .

Beyond the Standard Model: LHC Phenomenology, Cosmology from Post-Inflationary Sources, and Dark Matter Physics · Getting Rid of the Anomaly · 0.82

Cites it as support 2 papers

This is because in these models, even though proton decay is forbidden by conservation of a gauged charge, the gauge boson that gauges this symmetry is not massless [ref] .

New Constraints (and Motivations) for Abelian Gauge Bosons in the MeV-TeV Mass Range · Motivational summary · 1.00
* If the blow up mode is stabilised at the singularity all dangerous $R$-parity violating operators are forbidden by a combination of the global symmetries descending from anomalous $U(1)$'s [ref] (see also [ref] ).

Towards Realistic String Vacua From Branes At Singularities · Standard Model · 0.97

Cites it as background 1 paper

These terms are usually dubbed as Green-Schwarz (GS) [ref] and Generalized Chern-Simons (GCS) [ref] - [ref] .

Supersymmetry Breaking in a Minimal Anomalous Extension of the MSSM · Introduction · 0.95

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