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Brane instantons and fluxes in F-theory

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Abstract

We study the combined effect of world-volume and background fluxes on Euclidean D3-brane instantons in F-theory compactifications. We derive an appropriate form of the fermionic effective action, in which the fermions are topologically twisted and the dynamical effect of fluxes, non-trivial axio-dilaton and warping is taken into account. We study the structure of fermionic zero modes, which determines the form of possible non-perturbative superpotential and F-terms in the four-dimensional effective action. Invariance under SL(2, \( \mathbb{Z} \)) is discussed in detail, which allows for an interpretation of the results in terms of the dual M5-brane instanton in the M-theory picture. We also provide the perturbative IIB description in the orientifold limit, when available. Furthermore, we consider the possible inclusion of supersymmetry breaking bulk fluxes and discuss its implications.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Roma “TorVergata” & I.N.F.N. Sezione di Roma “TorVergata”, Via della Ricerca Scientifica, 00133, Roma, Italy

    Massimo Bianchi, Gianluca Inverso & Luca Martucci

  2. Dipartimento di Fisica ed Astronomia “Galileo Galilei”, Università di Padova & I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy

    Luca Martucci

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  1. Massimo Bianchi
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  2. Gianluca Inverso
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Correspondence to Gianluca Inverso.

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Bianchi, M., Inverso, G. & Martucci, L. Brane instantons and fluxes in F-theory. J. High Energ. Phys. 2013, 37 (2013). https://doi.org/10.1007/JHEP07(2013)037

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