GUTs in Type IIB Orientifold Compactifications

By Ralph Blumenhagen, Volker Braun, Thomas W. Grimm, T. Weigand. 2008

228 citations recorded by the source corpus.

Abstract We systematically analyse globally consistent SU ( 5 ) GUT models on intersecting D7-branes in genuine Calabi–Yau orientifolds with O3- and O7-planes. Beyond the well-known tadpole and K-theory cancellation conditions there exist a number of additional subtle but quite restrictive constraints. For the realisation of SU ( 5 ) GUTs with gauge symmetry breaking via U ( 1 ) Y flux we present two classes of suitable Calabi–Yau manifolds defined via del Pezzo transitions of the elliptically fibred hypersurface P 1 , 1 , 1 , 6 , 9 [ 18 ] and of the Quintic P 1 , 1 , 1 , 1 , 1 [ 5 ] , respectively. To define an orientifold projection we classify all involutions on del Pezzo surfaces. We work out the model building prospects of these geometries and present five globally consistent string GUT models in detail, including a 3-generation SU ( 5 ) model with no exotics whatsoever. We also realise other phenomenological features such as the 10 10 5 H Yukawa coupling and comment on the possibility of moduli stabilisation, where we find an entire new set of so-called swiss-cheese type Calabi–Yau manifolds. It is expected that both the general constrained structure and the concrete models lift to F-theory vacua on compact Calabi–Yau fourfolds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/994dfe49099db17fc55690c71f94171c46a779a2

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Citations in the corpus

F-theory Compactifications for Supersymmetric GUTs (2009, background): “Indeed, compact type IIB orientifold models for SU(5) GUTs that implement the same GUTbreaking mechanism as their F-theory counterparts have been constructed in the past year [27].”
F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, background): “The explicit construction of compact SU(5) GUT vacua with hypercharge induced GUT symmetry breaking [4, 5] was initiated in [29] actually not in fully fledged Ftheory, but, as a first step, in the framework of Type IIB orientifolds within the welldefined framework of toric geometry.”
d-Brane Instantons in Type II Orientifolds (2009, background): “This was achieved explicitly in the globally consistent SU(5) GUT models constructed in [151] on Type IIB orientifolds with D3/D7-branes.”
Codimension-3 Singularities and Yukawa Couplings in F-theory (2009, background): “An incomplete list of other articles that discussed physics of F-theory in the last several months includes [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23].”
Lectures on F-theory compactifications and model building (2010, methodology): “A clean way to define this is by a twisting procedure that works both in perturbative type IIB [52] and in the E8-based F-theory models [33] discussed in these lectures.”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “The matter field |C| would therefore have a vanishing VEV which could however become non-zero via RG running below the string scale. τvs would then develop a very small VEV compatible with the singular regime and one could obtain a viable QCD axion from the phase of a matter field analogous to the s”
Global F-theory GUTs (2009, methodology): “GUT model building on dP9 surfaces was considered within Type IIB orientifolds in [22].”
Towards universal axion inflation and reheating in string theory (2014, background): “Recall that in concrete string model building one has to satisfy the D7- and D3-brane tadpole cancellation conditions [23–25].”
Higgs Bundles and UV Completion in F-Theory (2009, background): “[12] for a recent discussion and constructions), and more work needs to be done to connect the two pictures.”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “Furthermore, there is a well-known tension between moduli stabilisation of the SM cycle and the existence of chiral matter [19], which, together with D-term conditions, tend to stabilise some Kähler moduli towards a collapsing cycle and therefore having the SM brane at a singularity [20–22].”