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Multi instanton tests of holography

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Abstract

Gauge theories living on stacks of D7-branes are holographically related to IIB gravitational backgrounds with a varying axion-dilaton field (F-theory). The axiondilaton field is generated by D7, O7 and D-instanton sources and can be written in terms of the chiral correlators of the eight dimensional gauge theory living on the D7-branes. Using localization techniques, we prove that the same correlators determine the gauge coupling of the four-dimensional \( \mathcal{N} = 2 \) supersymmetric SU(2) gauge theories living on the elementary D3-brane which probes the F-theory geometries.

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References

  1. A. Sen, F-theory and Orientifolds, Nucl. Phys. B 475 (1996) 562 [hep-th/9605150] [SPIRES].

    Article  ADS  Google Scholar 

  2. N. Seiberg and E. Witten, Monopole Condensation, And Confinement In N = 2 Supersymmetric Yang-Mills Theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  3. T. Banks, M.R. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278 [hep-th/9605199] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  4. M. Billó, M. Frau, L. Giacone and A. Lerda, Holographic non-perturbative corrections to gauge couplings, JHEP 08 (2011) 007 [ar**v:1105.1869] [SPIRES].

    Article  ADS  Google Scholar 

  5. M. Billó, L. Gallot, A. Lerda and I. Pesando, F-theoretic vs microscopic description of a conformal N = 2 SYM theory, JHEP 11 (2010) 041 [ar**v:1008.5240] [SPIRES].

    Article  ADS  Google Scholar 

  6. F. Fucito, J.F. Morales and R. Poghossian, Exotic prepotentials from D(−1)D7 dynamics, JHEP 10 (2009) 041 [ar**v:0906.3802] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  7. N.A. Nekrasov, Seiberg-Witten Prepotential From Instanton Counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [SPIRES].

    MathSciNet  Google Scholar 

  8. U. Bruzzo, F. Fucito, J.F. Morales and A. Tanzini, Multi-instanton calculus and equivariant cohomology, JHEP 05 (2003) 054 [hep-th/0211108] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  9. M. Billó et al., Exotic instanton counting and heterotic/type-I’ duality, JHEP 07 (2009) 092 [ar**v:0905.4586] [SPIRES].

    Article  ADS  Google Scholar 

  10. M. Billó et al., Stringy instanton corrections to N = 2 gauge couplings, JHEP 05 (2010) 107 [ar**v:1002.4322] [SPIRES].

    Article  ADS  Google Scholar 

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Correspondence to F. Fucito.

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Ar**v ePrint: 1106.3526

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Fucito, F., Morales, J.F. & Pacifici, D.R. Multi instanton tests of holography. J. High Energ. Phys. 2011, 120 (2011). https://doi.org/10.1007/JHEP09(2011)120

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  • DOI: https://doi.org/10.1007/JHEP09(2011)120

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