Abstract
In this paper we explicitly obtain the leading corrections to the SU(N) \( \mathcal{N} = {2} \) prepotential due to stringy instantons both in flat space-time and in the presence of a non-trivial graviphoton background field. We show that the stringy corrections to the prepotential are expressible in terms of the elementary symmetric polynomials. For N > 2 the theory is not conformal; we discuss the introduction of an explicit dependence on the string scale α′ in the low-energy effective action through the stringy non-perturbative sector.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The Calculus of many instantons, Phys. Rept. 371 (2002) 231 [hep-th/0206063] [INSPIRE].
M. Bianchi, S. Kovacs and G. Rossi, Instantons and Supersymmetry, Lect. Notes Phys. 737 (2008) 303, to appear in the book String Theory and Fundamental Interactions, published in celebration of the 65th birthday of Gabriele Veneziano [hep-th/0703142] [INSPIRE].
E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135] [INSPIRE].
M.R. Douglas, Branes within branes, hep-th/9512077 [INSPIRE].
M.R. Douglas, Gauge fields and D-branes, J. Geom. Phys. 28 (1998) 255 [hep-th/9604198] [INSPIRE].
M. Billó et al., Classical gauge instantons from open strings, JHEP 02 (2003) 045 [hep-th/0211250] [INSPIRE].
M.B. Green and M. Gutperle, D instanton induced interactions on a D3-brane, JHEP 02 (2000) 014 [hep-th/0002011] [INSPIRE].
U. Bruzzo, F. Fucito, J.F. Morales and A. Tanzini, Multiinstanton calculus and equivariant cohomology, JHEP 05 (2003) 054 [hep-th/0211108] [INSPIRE].
M. Billó et al., Exotic instanton counting and heterotic/type-I-prime duality, JHEP 07 (2009) 092 [arXiv:0905.4586] [INSPIRE].
F. Fucito, J.F. Morales and R. Poghossian, Exotic prepotentials from D(-1)D7 dynamics, JHEP 10 (2009) 041 [arXiv:0906.3802] [INSPIRE].
M. Billó, M. Frau, L. Giacone and A. Lerda, Holographic non-perturbative corrections to gauge couplings, JHEP 08 (2011) 007 [arXiv:1105.1869] [INSPIRE].
M. Billó et al., Stringy instanton corrections to N = 2 gauge couplings, JHEP 05 (2010) 107 [arXiv:1002.4322] [INSPIRE].
H. Ghorbani, D. Musso and A. Lerda, Stringy instanton effects in N = 2 gauge theories, JHEP 03 (2011) 052 [arXiv:1012.1122] [INSPIRE].
R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-Brane Instantons in Type II Orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [INSPIRE].
M. Billó, M. Frau, L. Gallot, A. Lerda and I. Pesando, Classical solutions for exotic instantons?, JHEP 03 (2009) 056 [arXiv:0901.1666] [INSPIRE].
N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [INSPIRE].
N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions, hep-th/0306238 [INSPIRE].
R. Argurio, M. Bertolini, G. Ferretti, A. Lerda and C. Petersson, Stringy instantons at orbifold singularities, JHEP 06 (2007) 067 [arXiv:0704.0262] [INSPIRE].
G.W. Moore, N. Nekrasov and S. Shatashvili, D particle bound states and generalized instantons, Commun. Math. Phys. 209 (2000) 77 [hep-th/9803265] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1111.0842
Rights and permissions
About this article
Cite this article
Ghorbani, H., Musso, D. Stringy instantons in SU(N) \( \mathcal{N} = {2} \) non-conformal gauge theories. J. High Energ. Phys. 2011, 70 (2011). https://doi.org/10.1007/JHEP12(2011)070
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2011)070