Abstract
We show that non-Spin cycles in type IIB Calabi-Yau orientifold compactifications with vanishing B field naturally support orientifold-invariant D-brane instantons. These instantons, associated to the holomorphic cotangent bundle of the non-Spin cycle, can lead to non-perturbative corrections to the superpotential.
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F. Denef, M.R. Douglas and B. Florea, Building a better racetrack, JHEP 06 (2004) 034 [hep-th/0404257] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
D.S. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math 3 (1999) 819 [hep-th/9907189] [INSPIRE].
R. Blumenhagen, X. Gao, T. Rahn and P. Shukla, A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds, JHEP 06 (2012) 162 [arXiv:1205.2485] [INSPIRE].
M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, D-Branes at del Pezzo Singularities: Global Embedding and Moduli Stabilisation, JHEP 09 (2012) 019 [arXiv:1206.5237] [INSPIRE].
E. Sharpe, Lectures on D-branes and sheaves, hep-th/0307245 [INSPIRE].
S.H. Katz and E. Sharpe, D-branes, open string vertex operators and Ext groups, Adv. Theor. Math. Phys. 6 (2003) 979 [hep-th/0208104] [INSPIRE].
D.-E. Diaconescu, A. Garcia-Raboso, R.L. Karp and K. Sinha, D-Brane Superpotentials in Calabi-Yau Orientifolds, Adv. Theor. Math. Phys. 11 (2007) 471 [hep-th/0606180] [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].
P.S. Aspinwall, D-branes on Calabi-Yau manifolds, hep-th/0403166 [INSPIRE].
M. Cvetič, I. Garcia-Etxebarria and R. Richter, Branes and instantons at angles and the F-theory lift of O(1) instantons, AIP Conf. Proc. 1200 (2010) 246 [arXiv:0911.0012] [INSPIRE].
S. Katz, On the finiteness of rational curves on quintic threefolds, Comp. Math. 60 (1986) 151.
O.J. Ganor, A Note on zeros of superpotentials in F-theory, Nucl. Phys. B 499 (1997) 55 [hep-th/9612077] [INSPIRE].
S. Franco, A. Hanany, D. Krefl, J. Park, A.M. Uranga, et al., Dimers and orientifolds, JHEP 09 (2007) 075 [arXiv:0707.0298] [INSPIRE].
M. Aganagic, K.A. Intriligator, C. Vafa and N.P. Warner, The Glueball superpotential, Adv. Theor. Math. Phys. 7 (2004) 1045 [hep-th/0304271] [INSPIRE].
K.A. Intriligator, P. Kraus, A.V. Ryzhov, M. Shigemori and C. Vafa, On low rank classical groups in string theory, gauge theory and matrix models, Nucl. Phys. B 682 (2004) 45 [hep-th/0311181] [INSPIRE].
M. Aganagic, C. Beem and S. Kachru, Geometric transitions and dynamical SUSY breaking, Nucl. Phys. B 796 (2008) 1 [arXiv:0709.4277] [INSPIRE].
I. Garcia-Etxebarria, D-brane instantons and matrix models, JHEP 07 (2009) 017 [arXiv:0810.1482] [INSPIRE].
M. Bianchi, A. Collinucci and L. Martucci, Magnetized E3-brane instantons in F-theory, JHEP 12 (2011) 045 [arXiv:1107.3732] [INSPIRE].
P. Berglund and I. García-Etxebarria, Kähler Moduli Stabilization in Calabi-Yau Manifolds with Branes at Toric Singularities, to appear.
V. Balasubramanian, P. Berglund, V. Braun and I. Garcia-Etxebarria, Global embeddings for branes at toric singularities, JHEP 10 (2012) 132 [arXiv:1201.5379] [INSPIRE].
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ArXiv ePrint: 1210.1221
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Berglund, P., García-Etxebarria, I. D-brane instantons on non-Spin cycles. J. High Energ. Phys. 2013, 56 (2013). https://doi.org/10.1007/JHEP01(2013)056
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DOI: https://doi.org/10.1007/JHEP01(2013)056