Sigma-model anomalies in compact D=4, N=1 Type IIB orientifolds and Fayet–Iliopoulos terms

Ibáñez, Luis E.; Rabadán, Raúl; Uranga, Ángel M.

doi:10.1016/s0550-3213(00)00059-6

Cited by 35 publications

(42 citation statements)

References 36 publications

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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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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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“…Chiral N = 1 theories in D = 4 are only obtained when e.g., the D3-branes are located on top of orbifold singularities. It has been found [18,11,22] that in this class of theories: a) There may be more than one anomalous U(1); b) The mixed anomaly of the U(1) with other groups need not be universal ; c) There is a generalized Green-Schwarz mechanism at work in which the cancelling role is played not by the complex dilaton S but by twisted closed string massless modes M k . These are fields which live on the fixed points of the orbifold.…”

Section: Jhep10(1999)001mentioning

confidence: 99%

“…[11,22] for details) and B k are the two-forms which are dual to the imaginary part of the twisted fields M k . Here l labels the different anomalous U(1)'s and δ l k are modeldependent constant coefficients.…”

Section: Jhep10(1999)001mentioning

confidence: 99%

“…2 + · · · we can easily see that the FI term vanishes at the orbifold singularity [18,11,22,23] (see also [27,28]). This is impossible in the heterotic case, because in that case it is the field S that cancels the anomaly and the FI-term ξ is then proportional to K S ∼ g 2 which cannot be set to zero in a nontrivial vacuum.…”

mentioning

confidence: 92%

“…The FI term for this U(1) X is given by ξ = δ X K M , since the Kähler potential (to first order in M)is given [25,26,22,23] …”

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confidence: 99%

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Anomalous U(1)'s and proton stability in brane models

Ibáñez

Quevedo

1999

J. High Energy Phys.

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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 µ-term is generically supressed. We also study the properties of a U(1) X symmetry whose mixed anomalies with the different SM gauge groups are in the ratio of the beta function coefficients β 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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Type IIB orientifolds, D‐brane instantons and the LARGE volume scenario

Plauschinn

2010

Fortschritte der Physik

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This review article is concerned with three topics important for the construction of four‐dimensional models of particle physics in the context of type II String Theories. Special emphasis is put on a consistent presentation of these topics as well as on highlighting their interconnections. The first of the three topics deals with the tadpole cancellation conditions and the cancellation of chiral anomalies for type IIB orientifolds with orientifold three‐ and seven‐planes. The second topic is related to non‐perturbative effects originating from D‐brane instantons. In particular, in the presence of a realistic particle physics sector, a chiral zero‐mode constraint for contribution of instantons to the superpotential arises. The third topic is about moduli stabilisation in type IIB string compactifications. Two scenarios, the KKLT and Large Volume Scenario, are reviewed and a model for the latter scenario with the chiral zero‐mode constraint taken into account is presented.

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Sigma-model anomalies in compact D=4, N=1 Type IIB orientifolds and Fayet–Iliopoulos terms

Cited by 35 publications

References 36 publications

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

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

Anomalous U(1)'s and proton stability in brane models

Type IIB orientifolds, D‐brane instantons and the LARGE volume scenario

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