An index for the Dirac operator on D3 branes with background fluxes - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2005

An index for the Dirac operator on D3 branes with background fluxes

Résumé

We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible. Applying the formalism to various classes of examples, including the K3 x T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.

Dates et versions

hal-02299456 , version 1 (27-09-2019)

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Eric Bergshoeff, Renata Kallosh, Amir-Kian Kashani-Poor, Dmitri Sorokin, Alessandro Tomasiello. An index for the Dirac operator on D3 branes with background fluxes. Journal of High Energy Physics, 2005, 2005 (10), pp.102-102. ⟨10.1088/1126-6708/2005/10/102⟩. ⟨hal-02299456⟩
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