Gaugino Condensates and D-terms from D7-branes

By M. Haack, Daniel Krefl, D. Lust, A. Proeyen, M. Zagermann. 2006

193 citations recorded by the source corpus.

We investigate, at the microscopic level, the compatibility between D-term potentials from world-volume fluxes on D7-branes and non-perturbative superpotentials arising from gaugino condensation on a different stack of D7-branes. This is motivated by attempts to construct metastable de Sitter vacua in type IIB string theory via D-term uplifts. We find a condition under which the Kahler modulus, T, of a Calabi-Yau 4-cycle gets charged under the anomalous U(1) on the branes with flux. If in addition this 4-cycle is wrapped by a stack of D7-branes on which gaugino condensation takes place, the question of U(1)-gauge invariance of the (T-dependent) non-perturbative superpotential arises. In this case an index theorem guarantees that strings, stretching between the two stacks, yield additional charged chiral fields which also appear in the superpotential from gaugino condensation. We check that the charges work out to make this superpotential gauge invariant, and we argue that the mechanism survives the inclusion of higher curvature corrections to the D7-brane action.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/728f34cc53a2e4304dffeae9f67f1954a8a9927d

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

In Nuclear and High Energy Physics

Citations in the corpus

d-Brane Instantons in Type II Orientifolds (2009, background): “It was found that D-brane instantons can contribute to these quantities by effectively breaking the global symmetries [20, 21, 22] (see also [23]).”
Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, result): “Problems one faces include things like the description of RR fluxes in string theory, showing that the necessary nonperturbative effects actually can and do appear in a way consistent with other contributions to the potential (for progress in this direction, see [16, 17, 18, 19, 20, 21, 22, 23, 24, ”
Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds (2007, background): “U(NA) × Sp(2NA) 10 × ( , 1 ) 10 × ( , 1 ) 10 × ( , ) (4.37) Furthermore, we have to satisfy the tadpole cancellation condition for the D7branes which restricts NA as NA ≤ 6.”
Building an explicit de Sitter (2012, background): “These problematic fluxes also generate Kähler moduli dependent Fayet-Iliopoulos (FI) terms ξi [21, 75, 76].”
Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra (2007, unknown): “130 2760 (0, 0, 0, {10, 0, 0}, 0) 5/4 1 22 [528,0] (0, 0, 0, {1,−1, 0}, {11, 1, 0}) 3/2 1 (0, 0, 0, {1, 1, 0}, {11,−1, 0}) 3/2 1 142 [3048,0] (0, 0, 0, {11,−1, 0}, {1, 1, 0}) 3/2 1 (0, 0, 0, {11, 1, 0}, {1,−1, 0}) 3/2 1 210 4248 (0, 0, {3, 3, 0}, {3,−3, 0}, {9,−9, 0}) 1/2 1 282 5760 (0, 0, {3, 3, 0}”
Testing string vacua in the lab: from a hidden CMB to dark forces in flux compactifications (2011, background): “This guarantees that also a moduli-dependent 4D Fayet-Iliopoulos term gets generated [71, 72, 73].”
Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, methodology): “Note: We thank the authors of [19] and [20] for pointing out to us their work (see also [21]), which likewise deals with instanton corrections in Type II D-brane models.”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, background): “The D-term potential associated to the diagonal U(1) factor of a stack of D7-branes wrapping the Calabi-Yau divisor Di, looks like [22]:”
Stringy instantons and quiver gauge theories (2006, result): “While we were brooding over the selection rules implied by the R-anomaly, we also learned of the work [21, 22], which has some overlap with ours.”