Getting just the standard model at intersecting branes

By Luis E Ibáñez, F. Marchesano, R. Rabadán. 2001

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We present what we believe are the first specific string (D-brane) constructions whose low-energy limit yields just a three generation SU(3) × SU(2) × U(1) standard model with no extra fermions nor U(1)'s (without any further effective field theory assumption). In these constructions the number of generations is given by the number of colours. The Baryon, Lepton and Peccei-Quinn symmetries are necessarily gauged and their anomalies cancelled by a generalized Green-Schwarz mechanism. The corresponding gauge bosons become massive but their presence guarantees automatically proton stability. There are necessarily three right-handed neutrinos and neutrino masses can only be of Dirac type. They are naturally small as a consequence of a PQ-like symmetry. There is a Higgs sector which is somewhat similar to that of the MSSM and the scalar potential parameters have a geometric interpretation in terms of brane distances and intersection angles. Some other physical implications of these constructions are discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9f064233dbb88fe8c4b941348ee729daa08267ed

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Citations in the corpus

Loop-corrected compactifications of the heterotic string with line bundles (2005, background): “The number of massive U(1)s will always be at least as big as the number of anomalous U(1)s, but as in the Type I case [37], in principle their numbers do not necessarily have to agree.”
A heterotic standard model (2005, background): “Furthermore, to our knowledge, phenomenological vacua in all other string contexts [6, 8, 10, 11, 12] have substantial amounts of exotic matter, both in the observable and hidden sectors.”
Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, background): “In [63] a general class of solutions was given for the wrapping numbers (na, m i a) giving rise to a SM spectrum.”
Flux-induced SUSY-breaking soft terms (2003, methodology): “In these models the SM fields live in the worldvolume of D-branes embedded in a 10d closed string background [6, 7, 8, 9, 10, 11].”
One in a Billion: MSSM-like D-Brane Statistics (2005, background): “entation of SU(N b). A massless linear combination of abelian factors U(1) massless = X a x aU(1) a (6) exists for X a x aN aY~ a = 0, (7) as can be easily seen from (5). More details can be found in [43]. Although the tadpole cancellation condition ensures the absence of cubic non-abelian gauge ano”
Moduli stabilization in chiral type IIB orientifold models with fluxes (2003, background): “Such configurations are T-dual (mirror-symmetric) to intersecting D6branes, which have been discussed extensively in the recent literature [1-26].”
Realistic D-brane models on warped throats: Fluxes, hierarchies and moduli stabilization (2003, background): “However, they become massive as well, since they have non-zero B ∧F couplings with twisted closed string moduli (in analogy with the discussion in [23]).”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “On the other hand, one has to take care off the hypercharge gauge boson in this process [38].”
The Standard Model from stable intersecting brane world orbifolds (2001, background): “3U(1) 1 + 2U(1) 2 + U(1) 3 (5.2) and two anomaly free ones which can be chosen to be U(1) Y and U(1) B−L U(1) Y = − 2 3 U(1) 1 +U(1) 2, U(1) B−L = − 1 6 (U(1) 1 −3U(1) 2 +3U(1) 3). (5.3) Analogous to [9,11,12], since the one-loop consistency of the string model requires the formal cancellation of th”
Intersecting Brane Models of Particle Physics and the Higgs Mechanism (2002, background): “One can prove on general grounds that if one wants to build a (factorizable) D6-brane configuration with the SM gauge group and N = 1 SUSY (or quasi-SUSY), also a massless (B−L) generator must be initially present in any model.”
Orientifolds, hypercharge embeddings and the Standard Model (2006, methodology): “Furthermore the configuration of [6] is such that branes a and d have a different multiplicity (3 and 1) but identical intersection numbers with the other branes.”
Computing Yukawa couplings from magnetized extra dimensions (2004, neutral): “The model-building techniques in these particular cases are, nevertheless, similar to those in [20].”
Supersymmetric Intersecting Branes on the Type IIA T6/Bbb Z4 Orientifold (2002, background): “Intersecting brane world models have been the subject of elaborate string model building for several years [1-38].”
D‐branes in Standard Model building, gravity and cosmology (2003, background): “5 The Standard Model structure from intersecting D-branes We will describe in this section, as an example a non-supersymmetric D-brane model utilizing intersecting D6-branes that gives the correct spectrum [90, 91].”
Neutrino Majorana masses from string theory instanton effects (2006, methodology): “See appendix B for the analogous discussion for the constructions in [5] which have a U(2)b gauge group.”
Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, background): “However, in many examples the Yukawa couplings are actually only generated nonperturbatively, see for instance the discussion in [61], and [62] for some examples.”