Sen, Ashoke \(F\)-theory and orientifolds. (English) Zbl 0925.81181 Nucl. Phys., B 475, No. 3, 562-578 (1996). Summary: By analyzing \(F\)-theory on \(K3\) near the orbifold limit of \(K3\) we establish the equivalence between \(F\)-theory on \(K3\) and an orientifold of type IIB on \(T^{2}\), which in turn is related by a \(T\)-duality transformation to type I theory on \(T^{2}\). By analyzing the \(F\)-theory background away from the orbifold limit, we show that nonperturbative effects in the orientifold theory split an orientifold plane into two planes, with nontrivial SL\((2,\mathbb{Z})\) monodromy around each of them. The mathematical description of this phenomenon is identical to the Seiberg-Witten result for \(N=2\) supersymmetric SU(2) gauge theory with four quark flavors. Points of enhanced gauge symmetry in the orientifold/\(F\)-theory are in one-to-one correspondence with the points of enhanced global symmetry in the Seiberg-Witten theory. Cited in 1 ReviewCited in 199 Documents MSC: 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 32J81 Applications of compact analytic spaces to the sciences 83E30 String and superstring theories in gravitational theory 81T60 Supersymmetric field theories in quantum mechanics Keywords:nonperturbative effects; triality action; string compactification PDFBibTeX XMLCite \textit{A. Sen}, Nucl. Phys., B 475, No. 3, 562--578 (1996; Zbl 0925.81181) Full Text: DOI arXiv References: [1] Vafa, C., Nucl. Phys. B, 469, 403 (1996) [2] Morrison, D.; Vafa, C., Nucl. Phys. B, 473, 74 (1996) [3] D. Morrison and C. Vafa, hep-th/9603161, to be published in Nucl. Phys. B.; D. Morrison and C. Vafa, hep-th/9603161, to be published in Nucl. Phys. B. [4] Seiberg, N.; Witten, E., Nucl. Phys. B, 471, 121 (1996) [5] Witten, E., Nucl. Phys. B, 474, 343 (1996) [6] S. Ferrara, R. Minasian and A. Sagnotti, hep-th/9604097.; S. Ferrara, R. Minasian and A. Sagnotti, hep-th/9604097. [7] P. Aspinwall and M. Gross, hep-th/9605131.; P. Aspinwall and M. Gross, hep-th/9605131. [8] A. Sen, hep-th/9603113; A. Sen, hep-th/9603113 [9] Sen, A., Nucl. Phys. B, 474, 361 (1996) [10] Bianchi, M.; Pradisi, G.; Sagnotti, A., Nucl. Phys. B, 376, 365 (1992) [11] Horava, P., Phys. Lett. B, 231, 251 (1989) [12] E. Gimon and J. Polchinski, hep-th/9601038; J. Polchinski, S. Choudhuri and C. Johnson, hep-th/9602052, and references therein.; E. Gimon and J. Polchinski, hep-th/9601038; J. Polchinski, S. Choudhuri and C. Johnson, hep-th/9602052, and references therein. [13] Witten, E., Nucl. Phys. B, 443, 85 (1995) [14] Dabholkar, A., Phys. Lett. B, 357, 307 (1995) [15] Hull, C., Phys. Lett. B, 357, 545 (1995) [16] Polchinski, J.; Witten, E., Nucl. Phys. B, 460, 525 (1996) [17] Seiberg, N.; Witten, E., Nucl. Phys. B, 431, 484 (1994) [18] Greene, B.; Shapere, A.; Vafa, C.; Yau, S.-T., Nucl. Phys. B, 337, 1 (1990) [19] A. Dabholkar and J. Park, hep-th/9604178, to be published in Nucl. Phys. B.; A. Dabholkar and J. Park, hep-th/9604178, to be published in Nucl. Phys. B. [20] Witten, E., Nucl. Phys. B, 460, 335 (1996) [21] Gross, D.; Harvey, J.; Martinec, E.; Rohm, R., Nucl. Phys. B, 267, 75 (1986) [22] Schwarz, J., Phys. Lett. B, 360, 13 (1995) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.