D-brane Deconstructions in IIB Orientifolds

By A. Collinucci, Frederik Denef, Mboyo Esole. 2008

193 citations recorded by the source corpus.

With model building applications in mind, we collect and develop basic techniques to analyze the landscape of D7-branes in type IIB compact Calabi-Yau orientifolds, in three different pictures: F-theory, the D7 worldvolume theory and D9-anti-D9 tachyon condensation. A significant complication is that consistent D7-branes in the presence of O7− planes are generically singular, with singularities locally modeled by the Whitney Umbrella. This invalidates the standard formulae for charges, moduli space and flux lattice dimensions. We infer the correct formulae by comparison to F-theory and derive them independently and more generally from the tachyon picture, and relate these numbers to the closed string massless spectrum of the orientifold compactification in an interesting way. We furthermore give concrete recipes to explicitly and systematically construct nontrivial D-brane worldvolume flux vacua in arbitrary Calabi-Yau orientifolds, illustrate how to read off D-brane flux content, enhanced gauge groups and charged matter spectra from tachyon matrices, and demonstrate how brane recombination in general leads to flux creation, as required by charge conservation and by equivalence of geometric and gauge theory moduli spaces.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b0c78d7f4e9e05afb7fb4e324a88b7715928ca2c

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Citations in the corpus

F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, background): “3) Here f, g, ai depend on the coordinates yi of the base B, while the generic elliptic fiber P1,2,3[6] has projective coordinates (z, x, y).”
Higgs Bundles and UV Completion in F-Theory (2009, background): “Recent work on F -theory models includes [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20].”
Small resolutions of SU(5)-models in F-theory (2011, background): “A pinch point singularity is described by The Whitney’s umbrella (x(2) = zy(2)) and is a binomial variety that appears naturally when we take the orientifold limit of F-theory [28, 29].”
G-flux in F-theory and algebraic cycles (2011, methodology): “26) In particular, this flux respects the involution condition σ(F2) = −F2 [70].”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, methodology): “In models without non-abelian gauge enhancement, for a6 = 0 this latter seven-brane has the topology of a brane-image brane pair [27], while for a6 6= 0 it corresponds to a single invariant brane of Whitney type [58].”
GUTs in Type IIB Orientifold Compactifications (2008, background): “An odd number of branes stuck on top of the orientifold plane is not possible, as discussed recently in [23].”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “In fact, with such a B−field the flux FW on the Whitney brane would make it split into one brane and its image (see [54]).”
Building an explicit de Sitter (2012, background): “The resulting recombined invariant D7-brane is called in literature ‘Whitney brane’, as it has the singular shape of the so called Whitney umbrella [53].”
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].”
Lectures on F-theory compactifications and model building (2010, background): “Consider two parallel stacks of type IIB D7-branes along the same divisor S, each carrying internal gauge flux 2πα′Fa and 2πα′Fb, respectively.”