Orientifolds of K3 and Calabi-Yau manifolds with intersecting D-branes

By Ralph Blumenhagen, Volker Braun, B. Kors, D. Lust. 2002

222 citations recorded by the source corpus.

We investigate orientifolds of type II string theory on K3 and Calabi-Yau 3-folds with intersecting D-branes wrapping special lagrangian cycles. We determine quite generically the chiral massless spectrum in terms of topological invariants and discuss both orbifold examples and algebraic realizations in detail. Intriguingly, the developed techniques provide an elegant way to figure out the chiral sector of orientifold models without computing any explicit string partition function. As a new example we derive a non-supersymmetric Standard-like Model from an orientifold of type IIA on the quintic Calabi-Yau 3-fold with wrapped D6-branes. In the case of supersymmetric intersecting brane models on Calabi-Yau manifolds we discuss the D-term and F-term potentials, the effective gauge couplings and the Green-Schwarz mechanism. The mirror symmetric formulation of this construction is provided within type IIB theory. We finally include a short discussion about the lift of these models from type IIB on K3 to F-theory and from type IIA on Calabi-Yau 3-folds to M-theory on G2 manifolds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8f0793e70514d628d28349aa11a9ff8031fb92d3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ralph Blumenhagen
2. D. Lust
3. Thomas W. Grimm
4. T. Weigand
5. F. Marchesano
6. Gary Shiu
7. Eran Palti
8. M. Cvetič

In Nuclear and High Energy Physics

1. Ralph Blumenhagen
2. D. Lust
3. Thomas W. Grimm
4. T. Weigand
5. M. Cvetič
6. Eran Palti
7. F. Marchesano
8. Gary Shiu

Citations in the corpus

• D‐branes in Standard Model building, gravity and cosmology (2003, background): “They involve non-supersymmetric intersecting brane models in a flat space [82]-[84], [88]-[91],[137]-[144] or with a nontrivial internal space [145]-[151] as well as supersymmetric models, [152]-[158].”
• TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, methodology): “Employing the topological methods introduced in section 2 [41], chiral supersymmetric intersecting D-brane models have been studied so far on the Z4 [48], Z4 × Z2 [49, 109, 99] and Z6 [50] toroidal orbifolds.”
• Exact standard model structures from intersecting D5-branes (2002, background): “(6) The latter U(1) may be broken by demanding that the open string sector ac respects N = 1 SUSY, giving us a constraint on the tadpole parameter n2e = 0 as well allowing the presence of sνR.”
• The statistics of supersymmetric D-brane models (2004, unknown): “a Xa,1 = 8, X a Na Xa,2 = −8. (2.13) Note that in contrast to for instance the model discussed in [34], for simplicity we are only considering bulk branes without any twisted sector contribution (see [41] for a treatment of fractional branes in this framework). Defining Ω 2 = (dx 1 + iU 1dy 2)(dx 2 +”
• D-brane Deconstructions in IIB Orientifolds (2008, background): “• Strongly warped throats of Klebanov-Strassler type [9] occur naturally, generating large scale hierarchies [8].”
• Orientifolds and mirror symmetry (2003, unknown): “(This example was also studied in [85].”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “Summing over all D6-branes and the O6-planes it can be written as [193, 207, 208]”
• Getting just the supersymmetric standard model at intersecting branes on the Z(6) orientifold (2004, background): “The massless chiral fermion spectrum can be determined in all three cases, as it only depends on the homology of the 3-cycles [18,19].”
• Supersymmetric Intersecting Branes on the Type IIA T6/Bbb Z4 Orientifold (2002, background): “Supersymmetric models clearly have some advantages over the non- supersymmetric ones.”
• Scales and hierarchies in warped compactifications and brane worlds (2002, background): “Many ideas have occurred in the literature, involving intersecting branes and branes at singularities, and it may be possible to combine these scenarios with a framework like that presented here, but clearly there is some non-trivial work to be done; some interesting recent progress in this directio”
• Yukawa couplings in intersecting D-brane models (2003, background): “, general Calabi-Yau manifolds, has been adressed in [15,17].”