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Stringy instanton corrections to \( \mathcal{N} = 2 \) gauge couplings

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Abstract

We discuss a string model where a conformal four-dimensional \( \mathcal{N} = 2 \) gauge theory receives corrections to its gauge kinetic functions from “stringy” instantons. These contributions are explicitly evaluated by exploiting the localization properties of the integral over the stringy instanton moduli space. The model we consider corresponds to a setup with D7/D3-branes in type I′ theory compactified on \( {{{{\mathcal{T}_4}}} \left/ {{{\mathbb{Z}_2}}} \right.} \times {\mathcal{T}_2} \), and possesses a perturbatively computable heterotic dual. In the heteoric side the corrections to the quadratic gauge couplings are provided by a 1-loop threshold computation and, under the duality map, match precisely the first few stringy instanton effects in the type I′ setup. This agreement represents a very non-trivial test of our approach to the exotic instanton calculus.

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Authors and Affiliations

  1. Dipartimento di Fisica Teorica, Università di Torino and I.N.F.N. - sezione di Torino, Via P. Giuria 1, I-10125, Torino, Italy

    Marco Billò & Marialuisa Frau

  2. I.N.F.N. - sezione di Roma Tor Vergata, Via della Ricerca Scientifica, I-00133, Roma, Italy

    Francesco Fucito, Jose F. Morales & Rubik Poghossian

  3. Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale and I.N.F.N. - Gruppo Collegato di Alessandria - sezione di Torino, Viale T. Michel 11, I-15121, Alessandria, Italy

    Alberto Lerda

  4. Yerevan Physics Institute, Alikhanian Br. 2, 0036, Yerevan, Armenia

    Rubik Poghossian

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  1. Marco Billò
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  2. Marialuisa Frau
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  3. Francesco Fucito
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Correspondence to Marco Billò.

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ArXiv ePrint: 1002.4322

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Billò, M., Frau, M., Fucito, F. et al. Stringy instanton corrections to \( \mathcal{N} = 2 \) gauge couplings. J. High Energ. Phys. 2010, 107 (2010). https://doi.org/10.1007/JHEP05(2010)107

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